case study based questions class 7 maths data handling

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling are provided below. Our solutions covered each questions of the chapter and explains every concept with a clarified explanation. It helps the students to understand slowly and to get practice well to become perfect and again a good score in their examination. Below we have listed NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Exercise 3.1, Ex 3.2, Ex 3.3 and Ex 3.4.

These materials are prepared based on Class 7 NCERT syllabus, taking the types of questions asked in the NCERT textbook into consideration. Further, all the CBSE Class 7 Solutions Maths Chapter 3 Data Handling are in accordance with the latest CBSE guidelines and marking schemes

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.1

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.2

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.3

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling Ex 3.4

Class 7 Maths Chapter 3 Data Handling Textbook Solutions

Chapter 3 of NCERT Solutions Class 7 Maths consists of 4 exercises and provided here are the solutions to the questions present in various exercises of the chapter. Enlisted below are the different concepts covered in this chapter.

• Collection of Data
• Organisation of Data
• Arithmetic Mean
• Mode of Large Data
• Use of Bar Graphs with a Different Purpose
• Chance and Probability

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NCERT Solutions Class 7 Maths Chapter 3 Data Handling

Data is the fuel in this world for exploring and interpreting a lot of opportunities. The NCERT Solutions for Class 7 maths chapter 3 data handling introduces the concept of data and its importance. Starting with the collection of data to how it can be stored or displayed and how the central tendency of the data collected can be ascertained is explained in this chapter. NCERT solutions class 7 maths chapter 3 data handling explains how graphs, specifically bar graphs, can be used in different ways for the effective display of data. In addition , this chapter introduces the concept of probability and its theorem to find out the possibility of the occurrence of an event.

Class 7 maths NCERT Solutions chapter 3 data handling will provide the building block for understanding and handling data. In a world that is driven by data making it of utmost importance, this chapter provides the key foundational concepts on this topic. The importance of finding the central tendency of a data set is a part of statistical science which is required in almost all the branches of science, including the day to day life. Also, how the Average, Median, and Mode are relevant to different data sets are discussed with relevant examples in chapter 3. The chapter and exercises can be found out in the links given below and also find some of these in the exercises given below.

• NCERT Solutions Class 7 Maths Chapter 3 Ex 3.1
• NCERT Solutions Class 7 Maths Chapter 3 Ex 3.2
• NCERT Solutions Class 7 Maths Chapter 3 Ex 3.3
• NCERT Solutions Class 7 Maths Chapter 3 Ex 3.4

NCERT Solutions for Class 7 Maths Chapter 3 PDF

The NCERT solutions class 7 maths chapter has exercises pertaining to data analysis, calculations of central tendency, how to arrange data in tabular form, and questions on probability. All these exercise questions are available for free pdf download and can be easily accessed through the links given below.

☛ Download Class 7 Maths NCERT Solutions Chapter 3 Data Handling

NCERT Class 7 Maths Chapter 3   Download PDF

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling

The NCERT solutions provide a good combination of questions that will allow the students to explore a wide range of concepts through the problems. Consistent practice will improve their understanding of the ideas. These questions are also examined and produced by professionals, making them extremely important. Students can have a look at the components of the NCERT solutions Class 7 maths chapter 3 data handling below.

• Class 7 Maths Chapter 3 Ex 3.1 - 9 Questions
• Class 7 Maths Chapter 3 Ex 3.2 - 5 Questions
• Class 7 Maths Chapter 3 Ex 3.3 - 6 Questions
• Class 7 Maths Chapter 3 Ex 3.4 - 3 Questions

☛ Download Class 7 Maths Chapter 3 NCERT Book

Topics Covered: The various topics covered under data handling are arranging data in tabular format, finding the central tendency of the dataset for which explanation is given for Mean, Median, and Mode . Also, plotting of the dataset as histograms and how graphs are to be plotted as well as read. Other topics included in these Class 7 maths NCERT solutions chapter 3 are the explanation of probability theory and its basic attributes.

Total Questions: The NCERT Class 7 maths chapter 3 data handling chapter 3 spans 23 questions in order to make students understand the theories and formulas in data handling. Students will find 18 of these easy and 5 as long-form questions.

List of Formulas in NCERT Solutions Class 7 Maths Chapter 3

The NCERT solutions Class 7 maths chapter 3 covers lots of important concepts crucial for understanding higher grade maths. The concept behind the calculation of mean, median, and mode is explained precisely and the students will be able to recall them easily. Like ‘mean’ refers to the average value, ‘median’ to the mid-point value, and ‘mode’ as the most common value. Similarly, other formulas discussed in NCERT Solutions for Class 7 maths chapter 3 are given below.

• Arithmetic Mean: Sum of all the given observations at a given point / Total number of observations
• Probability Formula: Total number of successful events / Total number of outcomes

Important Questions for Class 7 Maths NCERT Solutions Chapter 3

Ncert solutions for class 7 maths video chapter 3, faqs on ncert solutions class 7 maths chapter 3, what are the important formulas in ncert solutions class 7 maths chapter 3.

The important formulas covered in the NCERT solutions class 7 maths chapter 3 are the calculation of arithmetic mean, the mean, median and mode, probability, etc. These are the fundamentals in giving a good start in learning the data handling techniques. The students can find these formulas as well as the important definitions at the last of the chapter for a quick revision.

Why Should I Practice NCERT Solutions Class 7 Maths data handling chapter 3?

The NCERT solutions class 7 chapter 3 has been prepared by expert scholars and researchers in their field, making sure that all the important aspects related to data handling like analysis and reading of data, as well as its representation, are covered in a language that is easily understood by everyone. Also, the CBSE board recommends studying from the NCERT solutions, which makes it very certain that the students can expect the examination questions from this book itself.

Why are Class 7 Maths NCERT Solutions Chapter 3 Important?

The concepts discussed in the NCERT Solutions Class 7 Maths Chapter 3 are excellent for honing the exam study abilities as the examples and the exercises presented in the chapter are taken from real-world scenarios making it more useful practically. The students can have access to hundreds of practice problems on mean, median, mode, bar graphs, and probability, which will help them prepare for exams, giving them a good head start as they also have access to the problem-solving techniques which are explained in the examples.

How CBSE Students can utilize NCERT Solutions Class 7 Maths Chapter 3 effectively?

The CBSE board recommends studying from the NCERT solutions, which means that the students should follow the pattern of problem-solving as discussed in the examples provided and should grasp the techniques which are mentioned in those examples to arrive at the answer logically and strategically.

Do I Need to Practice all Questions Provided in NCERT Solutions Class 7 Maths data handling?

It would be beneficial to the students if they ensure that they solve all the examples and the exercise questions to level up their data handling skills. The sample examples and exercise questions provided in the NCERT Solutions Class 7 Maths Chapter 3 will ensure that the students have their foundation knowledge strong to deal with higher maths and even the maths for competitive exams ahead.

How Many Questions are there in Class 7 Maths NCERT Solutions Chapter 3 data handling?

The class 7 maths chapter 3 data handling chapter 3 has 23 questions. 14 of which are related to mean, median, mode. The six of them are related to the depiction and analysis of data through bar graphs, while the remaining 3 are of probability calculation.

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Unit 11: Data handling

Pictographs.

• Creating picture and bar graphs (Opens a modal)
• Interpreting picture graphs: paint (Opens a modal)
• Create picture graphs (picture more than 1) Get 5 of 7 questions to level up!
• Read picture graphs Get 5 of 7 questions to level up!
• Reading bar graphs: bikes (Opens a modal)
• Solve problems with bar graphs 1 Get 5 of 7 questions to level up!
• Make bar graphs Get 5 of 7 questions to level up!

NCERT Solutions For Class 7 Maths Chapter 3 Data Handling

NCERT Solutions for Class 7 Maths Chapter 3 Data Handling are formulated by our professional tutors to help you with your exam preparation to attain good marks in Maths. The NCERT book is one of the top materials when it comes to providing a question bank to practice. Our main objective is to help students understand and crack these problems. We, at CoolGyan’S, have prepared the NCERT Solutions for Class 7 Maths Chapter 3 wherein problems are solved step by step with complete descriptions.

Chapter 3 of NCERT Solutions Class 7 Maths consists of 4 exercises and provided here are the solutions to the questions present in various exercises of the chapter. Enlisted below are the different concepts covered in this chapter.

• Collection of Data
• Organisation of Data
• Arithmetic Mean
• Mode of Large Data
• Use of Bar Graphs with a Different Purpose
• Chance and Probability

Download the PDF of NCERT Solutions For Class 7 Maths Chapter 3 Data Handling

Access Exercises of NCERT Solutions for Class 7 Maths Chapter 3 Data Handling

Exercise 3.1 Solutions

Exercise 3.2 Solutions

Exercise 3.3 Solutions

Exercise 3.4 Solutions

Access answers to Maths NCERT Solutions For Class 7 Chapter 3 – Data Handling

Exercise 3.1 Page: 62

1. Find the range of heights of any ten students of your class.

Let us assume heights (in cm) of 10 students of our class.

= 130, 132, 135, 137, 139, 140, 142, 143, 145, 148

By observing the above mentioned values, the highest value is = 148 cm

By observing the above mentioned values, the lowest value is = 130 cm

Range of Heights = Highest value – Lowest value

= 148 – 130

2. Organise the following marks in a class assessment, in a tabular form.

4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7

(i) Which number is the highest? (ii) Which number is the lowest?

(iii) What is the range of the data? (iv) Find the arithmetic mean.

First, we have to arrange the given marks in ascending order.

= 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9

Now, we will draw the frequency table of the given data.

(i) By observing the table clearly, the highest number among the given data is 9.

(ii) By observing the table clearly, the lowest number among the given data is 1.

(iii) We know that, Range = Highest value – Lowest value

(iv) Now we have to calculate Arithmetic Mean,

Arithmetic mean = (Sum of all observations)/ (Total number of observation)

Sum of all observation = 1 + 2 + 2 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7

Total Number of Observation = 20

Arithmetic mean = (100/20)

3. Find the mean of the first five whole numbers.

Solutions:-

The first five Whole numbers are 0, 1, 2, 3, and 4.

Mean = (Sum of first five whole numbers)/ (Total number of whole numbers)

Sum of five whole numbers = 0 + 1 + 2 + 3 +4

Total Number of whole numbers = 5

Mean = (10/5)

∴Mean of first five whole numbers is 2.

4. A cricketer scores the following runs in eight innings:

58, 76, 40, 35, 46, 45, 0, 100. Find the mean score.

Mean score = (Total runs scored by the cricketer in all innings)/ (Total number of innings

Played by the cricketer)

Total runs scored by the cricketer in all innings = 58 + 76 + 40 + 35 + 46 + 45 + 0 + 100

Total number of innings = 8

Mean = (400/8)

∴Mean score of the cricketer is 50.

5. Following table shows the points of each player scored in four games:

Now answer the following questions:

(i) Find the mean to determine A’s average number of points scored per game.

(ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?

(iii) B played in all the four games. How would you find the mean?

(iv) Who is the best performer?

(i) A’s average number of points scored per game = Total points scored by A in 4 games/

Total number of games

= (14 + 16 + 10 + 10)/ 4

= 12.5 points

(ii) To find the mean number of points per game for C, we will divide the total points by 3. Because C played only 3 games.

(iii) B played in all the four games, so we will divide the total points by 4 to find out the mean.

Mean of B’s score = Total points scored by B in 4 games/ Total number of games

= (0 + 8 + 6 + 4)/ 4

= 4.5 points

(vi) Now, we have to find the best performer among 3 players.

So, we have to find the average points of C = (8 + 11 + 13)/3

= 10.67 points

By observing, the average points scored A is 12.5 which is more than B and C.

Clearly, we can say that A is the best performer among three.

6. The marks (out of 100) obtained by a group of students in a science test are 85, 76,

90, 85, 39, 48, 56, 95, 81 and 75. Find the:

(i) Highest and the lowest marks obtained by the students.

(ii) Range of the marks obtained.

(iii) Mean marks obtained by the group.

First we have to arrange the marks obtained by a group of students in a science test in an ascending order,

= 39, 48, 56, 75, 76, 81, 85, 85, 90, 95

(i) The highest marks obtained by the student = 95

The lowest marks obtained by the student = 39

(ii) We know that, Range = Highest marks – Lowest marks

(iii) Mean of Marks = (Sum of all marks obtained by the group of students)/

(Total number of marks)

= (39 + 48 + 56 + 75 + 76 + 81 + 85 + 85 + 90 + 95)/ 10

7. The enrolment in a school during six consecutive years was as follows:

1555, 1670, 1750, 2013, 2540, 2820.

Find the mean enrolment of the school for this period.

Mean enrolment = Sum of all observations/ Number of observations

= (1555 + 1670 + 1750 + 2013 + 2540 + 2820)/ 6

= (12348/6)

∴The mean enrolment of the school for this given period is 2058.

8. The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

(i) Find the range of rainfall in the above data.

(ii) Find the mean rainfall for the week.

(iii) On how many days was the rainfall less than the mean rainfall.

(i) Range of rainfall = Highest rainfall – Lowest rainfall

= 20.5 – 0.0

(ii) Mean of rainfall = Sum of all observations/ Number of observation

= (0.0 + 12.2 + 2.1 + 0.0 + 20.5 + 5.5 + 1.0)/ 7

(iii) We may observe that for 5 days i.e. Monday, Wednesday, Thursday, Saturday and Sunday the rainfall was less than the average rainfall.

9. The heights of 10 girls were measured in cm and the results are as follows:

135, 150, 139, 128, 151, 132, 146, 149, 143, 141.

(i) What is the height of the tallest girl? (ii) What is the height of the shortest girl?

(iii) What is the range of the data? (iv) What is the mean height of the girls?

(v) How many girls have heights more than the mean height.

First we have to arrange the given data in an ascending order,

= 128, 132, 135, 139, 141, 143, 146, 149, 150, 151

(i) The height of the tallest girl is 151 cm

(ii) The height of the shortest girl is 128 cm

(iii) Range of given data = Tallest height – Shortest height

= 151 – 128

(iv) Mean height of the girls = Sum of height of all the girls/ Number of girls

= (128 + 132 + 135 + 139 + 141 + 143 + 146 + 149 + 150

(v) 5 girls have heights more than the mean height (i.e. 141.4 cm).

Exercise 3.2 Page: 68

1. The scores in mathematics test (out of 25) of 15 students is as follows:

19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20

Find the mode and median of this data. Are they same?

Arranging the given scores in an ascending order, we get

5, 9, 10, 12, 15, 16, 19, 20, 20, 20, 20, 23, 24, 25, 25

Mode is the value of the variable which occurs most frequently.

Clearly, 20 occurs maximum number of times.

Hence, mode of the given sores is 20

The value of the middle-most observation is called the median of the data.

Here n = 15, which is odd.

Where, n is the number of the students.

∴median = value of ½ (n + 1) th observation.

= ½ (15 + 1)

Then, value of 8 th term = 20

Hence, the median is 20.

Yes, both the values are same.

2. The runs scored in a cricket match by 11 players is as follows:

6, 15, 120, 50, 100, 80, 10, 15, 8, 10, 15

Find the mean, mode and median of this data. Are the three same?

Arranging the runs scored in a cricket match by 11 players in an ascending order, we get

6, 8, 10, 10, 15, 15, 15, 50, 80, 100, 120

Mean of the given data = Sum of all observations/ Total number of observations

= (6 + 8 + 10 + 10 + 15 + 15 + 15 + 50 + 80 + 100 + 120)/ 11

Clearly, 15 occurs maximum number of times.

Hence, mode of the given sores is 15

Here n = 11, which is odd.

Where, n is the number of players.

= ½ (11 + 1)

Then, value of 6 th term = 15

Hence, the median is 15.

No, these three are not same.

3. The weights (in kg.) of 15 students of a class are:

38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38, 43, 38, 47

(i) Find the mode and median of this data.

(ii) Is there more than one mode?

Arranging the given weights 15 students of a class in an ascending order, we get

32, 35, 36, 37, 38, 38, 38, 40, 42, 43, 43, 43, 45, 47, 50

(i) Mode and Median

Clearly, 38 and 43 both occurs 3 times.

Hence, mode of the given weights are 38 and 43.

Then, value of 8 th term = 40

Hence, the median is 40.

(ii) Yes, there are 2 modes for the given weights of the students.

4. Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14

Arranging the given data in an ascending order, we get

= 12, 12, 13, 13, 14, 14, 14, 16, 19

Clearly, 14 occurs maximum number of times.

Hence, mode of the given data is 14.

Here n = 9, which is odd.

∴median = value of ½ (9 + 1) th observation.

= ½ (9 + 1)

Then, value of 5 th term = 14

Hence, the median is 14.

5. Tell whether the statement is true or false:

(i) The mode is always one of the numbers in a data.

The statement is given above is true.

Because, Mode is the value of the variable which occurs most frequently in the given data.

Hence, mode is always one of the numbers in a data.

(ii) The mean is one of the numbers in a data.

The statement is given above is false.

Because, mean is may be or may not be one of the number in a data.

(iii) The median is always one of the numbers in a data.

Because, median is the value of the middle-most observation in the given data while arranged in ascending or descending order.

Hence, median is always one of the numbers in a data

(iv) The data 6, 4, 3, 8, 9, 12, 13, 9 has mean 9.

Mean = Sum of all given observations/ number of observations

= (6 + 4 + 3 + 8 + 9 + 12 + 13 + 9)/8

Hence, the given statement is false.

Exercise 3.3 Page: 72

1. Use the bar graph (Fig 3.3) to answer the following questions.

(a) Which is the most popular pet? (b) How many students have dog as a pet?

The bar graph represents the pets owned by the students.

(a) From bar graph, the most popular pet is Cat. It is owned by the 10 students out of 12 students.

(b) From the bar graph, 8 students have dog as a pet out of 12 students.

2. Read the bar graph (Fig 3.4) which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:

(i) About how many books were sold in 1989? 1990? 1992?

(ii) In which year were about 475 books sold? About 225 books sold?

(iii) In which years were fewer than 250 books sold?

(iv) Can you explain how you would estimate the number of books sold in 1989?

(i) By observing bar graph,

175 books were sold in the year 1989.

475 books were sold in the year 1990.

225 books were sold in the year 1992.

(ii) By observing bar graph,

(iii) By observing bar graph,

In the years 1989 and 1992, the number of books sold were less than 250.

(iv) By observing the bar graph, we can conclude that,

The number of books sold in the year 1989 is about 1 and ¾ th part of 1 cm.

WKT, Scale is taken as 1 cm = 100 books

= 100 + (¾ × 100)

= 100 + (3 × 25)

3. Number of children in six different classes are given below. Represent the data on a bar graph.

(a) How would you choose a scale?

(b) Answer the following questions:

(i) Which class has the maximum number of children? And the minimum?

(ii) Find the ratio of students of class sixth to the students of class eight.

(a) We will take the scale as 1 unit = 10 children. Because, we can represent a better and clear difference among the number of students of class 7 th and class 9 th .

(b) (i) Class 5 th has the maximum number of children i.e. 135 and class 7 th has the minimum number of children i.e. 95.

(ii) The total number of students in class 6 th is 120 and the total number of students in class 8 th is 100

Ratio between the number of students of class 6 th and 8 th ,

= (120/100)

4. The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:

(i) In which subject, has the child improved his performance the most?

(ii) In which subject is the improvement the least?

(iii) Has the performance gone down in any subject?

(i) By observing the double bar graph, there was a maximum marks increase in the Maths subject. So, the child has improved his performance in Maths.

(ii) By observing the double bar graph, the improvement was the least in S. Science.

(iii) By observing the double bar graph, the performance in Hindi has gone down.

5. Consider this data collected from a survey of a colony.

(i) Draw a double bar graph choosing an appropriate scale.

What do you infer from the bar graph?

(ii) Which sport is most popular?

(iii) Which is more preferred, watching or participating in sports?

(i) The fig above is the double bar graph. Which represents the people who prefer either watching or participating in different sports. By observing the double bar graph, we came to conclude that most of the people like watching and participating cricket while least number of people like watching and participating in Athletics.

(ii) By observing the double bar graph, we came to conclude that the people who like watching and participating in cricket is the tallest among all the bars. So, cricket is the most popular sport.

(iii) By observing the double bar graph, we came to conclude that watching sports has more preference, rather than participating in sports.

6. Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter (Table 3.1). Plot a double bar graph using the data and answer the following:

(i) Which city has the largest difference in the minimum and maximum temperature on the given date?

(ii) Which is the hottest city and which is the coldest city?

(iii) Name two cities where maximum temperature of one was less than the minimum temperature of the other.

(iv) Name the city which has the least difference between its minimum and the maximum temperature.

(i) By observing the double bar graph, we came to conclude that Jammu has the largest difference in the minimum and maximum temperature on 20.6.2006.

(ii) By observing the double bar graph, we came to conclude that Jammu is the hottest city and Bangalore is the coldest city.

(iii) By observing the double bar graph, Bangalore and Jaipur, Bangalore and Ahmedabad. For Bangalore, the maximum temperature was 28 o C, while minimum temperature of both Ahmadabad and Jaipur was 29 o C.

(iv) By observing the double bar graph, Mumbai has the least difference between its minimum and the maximum temperature.

Exercise 3.4 Page: 76

1. Tell whether the following is certain to happen, impossible, can happen but not certain.

(i) You are older today than yesterday.

It is certain to happen.

(ii) A tossed coin will land heads up.

It can happen but not certain.

(iii) A die when tossed shall land up with 8 on top.

It is impossible. Because, there are only six faces on a die is marked as 1, 2, 3, 4, 5, and 6 on it.

(iv) The next traffic light seen will be green.

(v) Tomorrow will be a cloudy day.

2. There are 6 marbles in a box with numbers from 1 to 6 marked on each of them.

(i) What is the probability of drawing a marble with number 2?

From the question, it is given that

There are 6 marbles in the box with numbers from 1 to 6 are marked.

Probability of drawing a marble with number 2 = Number of favourable outcomes/

Number of possible outcomes

(ii) What is the probability of drawing a marble with number 5?

Probability of drawing a marble with number 5 = Number of favourable outcomes/

3. A coin is flipped to decide which team starts the game. What is the probability that your team will start?

A coin has two faces one is Head and other one is Tail.

Now, one team can choose either Head or Tail.

Probability of our team starts first= Number of favourable outcomes/

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Data Handling Class 7 MCQ Test (Online Available)

Free mcq test, table of content, data handling test - 30.

Duration: 10 Mins

Maximum Marks: 10

Read the following instructions carefully.

1. The test contains 10 total questions.

2. Each question has 4 options out of which only one is correct .

3. You have to finish the test in 10 minutes.

4. You will be awarded 1 mark for each correct answer.

5. You can view your Score & Rank after submitting the test.

6. Check detailed Solution with explanation after submitting the test.

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Data Handling Test - 29

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Objective questions have become the norm now, those students who are studying in class 7 must be well versed with all kinds of MCQ Questions; therefore, the link to access Data Handling MCQ Class 7 is mentioned here on this page.

Data Handling Class 7 MCQ questions are curated by subject experts referring to the prescribed NCERT Class 7 Maths Book. Those students who have studied the lesson Data Handling must practise the CBSE Class 7 MCQ Questions as it helps in deepening the understanding of the topics.

Class 7 Data Handling MCQ with Answers Online

For the ease of students, the subject experts have simplified the practice process of the class 7 Data Handling MCQ as they have solved each and every question given. The answers are detailed and easy to grasp. Students who want to practise the questions of Class 7 Data Handling MCQ with Answers online can use the Selfstudys website.

The MCQ Questions of Data Handling with answers are also given so that students can understand the methods of solving the concepts based questions. As well as, the solutions are helpful to understand where the students are making mistakes and need to improve.

How to Practise MCQ from NCERT Chapter Data Handling?

There are several ways to practise the MCQ from NCERT Chapter Data Handling; one is by solving questions from the chapter’s end and another is by using online medium. In this section, we have mentioned the steps to Practise MCQ from NCERT Chapter Data Handling online.

• First of all open Selfstudys.com on your Smartphone, PC/Laptop

• Navigate to the CBSE by Tapping/clicking on the navigation bar or button 
• It will open a new lists where you can find MCQ Test - Click on that  

• Then, a new page will load containing the lists of classes; just Tap or click on Class 7. *In Smartphone, you may require to scroll the given classes name towards left.

• Now, after selecting the Class 7, the same page will reload, make sure you select the Maths to access the MCQ Questions of Class 7 Data Handling.

Note: The online MCQ Questions of Data Handling can’t be downloaded, those who want to access the PDF of Data Handling MCQ can refer to the CBSE Class 7 MCQ PDF  section within the CBSE menu.

What is Data Handling MCQ and How to Use it?

Since class 7 students are in their early stage of academics they may have questions regarding What is Data Handling MCQ and How to Use it. So, the answer is MCQ Questions are objective questions which contain questions followed by 4 options where only one is considered the correct answer and remaining as a distraction. Why is it so, because MCQ questions are ideal to assess a student’s conceptual knowledge.

Those who want to use the Data Handling MCQ can use this website to access the online MCQ questions to practise.

Top 5 Benefits of Data Handling MCQ Class 7

Data Handling MCQ Class 7 questions benefit students in several ways; however, here we have mentioned a total of 5 benefits that a student will get if they are using the MCQ from NCERT Chapter Data Handling.

• Helps in Practising Questions: Sometimes, it's hard to get the questions to practise; therefore, the Selfstudys team has curated various sets of MCQ Questions of Class 7 Data Handling. Having access to the objective questions of Class 7 Data Handling helps students practising various questions for free of cost.
• Boosts the Critical Thinking Capability: The MCQs or objective questions must be answered in lesser time; therefore, those who will regularly solve Data Handling MCQ Class 7 will benefit by having a great boost in the critical thinking capability as the questions are in the objective format which can be answered if one has a good command over the concepts of Data Handling.
• Assists in Covering the Class 7 Maths Syllabus: Data Handling is a chapter of Class 7 Maths and those who are going to solve the MCQs of Class 7 Data Handling will be able to practise all the questions as per their Maths Syllabus.
• Helps in Exam Preparation: If a student solves the objective questions from class 7 Data Handling, they will be able to be prepared for the annual examination too. It is because the questions that are asked in the online MCQ of Data Handling are asked in the final exam question papers too.
• A Deeper Understanding of Data Handling: All the important points that are discussed in Data Handling must be memorised by students as it helps in deepening the understanding of the Delhi Sultans. One of the great benefits of solving Data Handling MCQ Class 7 is that one can be thorough with the topics and can develop a deeper understanding of Data Handling chapter of class 7.

Apply These Techniques To Better Answer the MCQ Questions of Data Handling

Although, there is no wrong or right method to answer the MCQ Questions, those who are interested in knowing the techniques to better answer the MCQ Questions of Data Handling can follow the below given methods.

Read the Question Carefully:  Questions in Data Handling MCQ Class 7 can be asked from tricky to hard to understand. In this case, you must read the questions of Data Handling MCQ carefully. By paying attention to the questions, it will help you connect the dots and assist you recall the studied concepts to answer the MCQs easily.

Eliminate Obviously Wrong Answers:  Many questions of Data Handling MCQ Class 7 will be so familiar that you can be certain for the wrong answer but uncertain for the right answer, in that situation obviously eliminate wrong answers first. By eliminating irrelevant or incorrect answers, it will help you find the one correct answer from all the given four options.

Look for Clues in the Question:  As we have discussed the first technique is to read the questions carefully, it is vital for looking for the clues in the questions of Data Handling MCQ Class 7. Every single question contains some kind of clues that help you answer them easily, but due to running out of time many don’t pay attention to it. In order to solve Data Handling MCQ Class 7 by using this technique you may have to do a thorough practice of Class 7 MCQ Questions.

Use the Process of Elimination:  There is not much difference in the elimination method and eliminating the wrong answer (discussed in point number 2) first, but one difference that makes the elimination process different is you can eliminate the right or wrong answer first. 

This means that when you are confused between two options, you can separate them and then you try to focus on only those 2 options to find out the correct answer of Data Handling MCQ Class 7. This elimination process works best in most of the scenarios.

Don't Spend too Much Time on One Question:  It is never a good idea to be rigid on one question and spend most of your time answering them. When you are practising Data Handling MCQ Class 7 questions, you have limited time and you have to make sure that you use your time smartly to attempt all the questions as asked in the Data Handling Class 7 MCQ.

Double-check your Answer:  Before submitting the Online test of Class 7 Data Handling MCQ, you should double check your answer if the test time hasn't completed. When you do a double check of your answers, you may find some silly mistakes that you have made due to which you could have lost some marks. Therefore, be conscious and double check your answers before submitting Data Handling MCQ Class 7.

*As per the Selfstudys Online MCQ Test instructions the time plays a crucial role in calculating your test rank so, be conscious when you use any single minute during your test.

Manage your Time:  Having great time management skills doesn’t only help you quickly answer the questions, but gives you the ability to save time to review the questions or in doing a last minute cross-checking. Thus, when you start solving Data Handling MCQ Class 7 questions, try to manage time and some of your test time to review the answers you have ticked throughout the test. 

Apart from this, time management skills give you peace of mind and keep you calm.

Stay Calm to Recall Previously Studied Topics:  When you struggle to come up with the correct answer of Data Handling MCQ Class 7 Questions try to stay calm as it will help you recall previously studied topics. Research says, being calm and relaxed helps in saving energy. Thus, staying calm while solving the MCQ from NCERT Chapter Data Handling helps you be more focused and answer the questions efficiently. The saved energy can be channelized to increase the focus and concentration to better recall the topics and subtopics of Data Handling.

There is a high possibility of having more techniques of Data Handling MCQ Class 7 as mentioned, but these given methods work well in most of the cases.

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Class 7 Maths Data Handling Important Questions For Exam

by Sanjusha · March 14, 2020

IMPORTANT QUESTIONS FOR CBSE EXAMINATION | CLASS 7 MATHEMATICS DATA HANDLING – Chapter 3

Answer the following (2 marks):

1. A batsman scored the following number of runs in six innings: 65, 60, 45, 50, 55, 31 Calculate the mean runs scored by him in an innings.

2. The marks (out of 50) obtained by a group of students in a Mathematics test are 48, 45, 36, 21, 50, 43 and 25.Find the: i) Highest and the lowest marks obtained by the students. ii) Range of the marks obtained.

3. Find the mode of the given set of numbers: 3,4,5,3,5,3,6,7,3,3,8,9

4. Find the median of the data: 13, 16, 12, 14, 19, 10, 18, 9, 15.

5. Find the average of the numbers 45, 50 and 55

6. When a die is rolled, find the probability of getting a prime number?

7. When a coin is tossed, find the probability of getting a head?

8. Find the average of the first ten prime numbers.

9. If the mean of the following numbers 36, 35, x, 46, 60 and 55 are 47, find the value of x?

10. Define the following terms:

i) Range ii) Median iii) Mode

1. Mean = sum of all observations/ Number of observations

= 65 + 60 + 45+ 50+ 55 + 31 / 6 = 306 / 6 = 51

2. i) Highest mark = 50

Lowest mark = 21 ii) Range = 50 -21 = 29

3. Mode is the observation that occurs most often.

So mode = 3 (3 occurs 5 times)

4. Arrange in ascending order 9, 10, 12, 13, 14, 15, 16, 18, 19 Median = 14

5. Average = 45 + 50 + 55 / 3 = 150 / 3 = 50

6. Prime numbers are 2, 3 and 5 Probability = 3/6 = ½

8. First 10 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Mean = 2 + 3 +5+ 7+ 11 + 13+ 17+ 19+ 23 + 29 /10 = 129 / 10 = 12.9

9. Given 36 + 35 + x + 46 + 60 + 55 / 6 = 47 (232 + x)/ 6 = 47 232 + x = 47 x 6 232 + x = 282 x = 282 – 232 = 50

10. Range: The difference between the highest and the lowest observation is called Range. Median: Median is the middle observation while arranging in ascending or descending order. Mode: The mode of a set of observations is the observation that occurs most often.

Tags: class 7 maths data handling extra questions class 7 maths data handling practice problems class 7 maths solutions

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• Chapter 24 Data Handling Iii Construction Of Bar Graphs

RD Sharma Solutions for Class 7 Maths Chapter 24 Data Handling - III (Constructions of Bar Graphs)

The PDF of RD Sharma Solutions for Class 7 Chapter 24 Data Handling – III (Constructions of Bar Graphs) is provided here. The subject experts at BYJU’S outline the concepts in a clear and precise manner based on the grasping abilities of students. The solutions to all questions in RD Sharma Solutions are given here in a detailed and step-by-step way to help students understand more effectively.

By solving this chapter, the students will understand how to draw a bar graph and a double bar graph for the given data. RD Sharma Solutions for Class 7 are given here, which include the answers to all the questions present in this chapter. Let us have a look at some of the concepts that are discussed in this chapter.

• Definition and meaning of bar graphs
• Steps to construct bar graphs
• RD Sharma Solutions Class 7 Maths Chapter 1 Integers
• RD Sharma Solutions Class 7 Maths Chapter 2 Fractions
• RD Sharma Solutions Class 7 Maths Chapter 3 Decimals
• RD Sharma Solutions Class 7 Maths Chapter 4 Rational Numbers
• RD Sharma Solutions Class 7 Maths Chapter 5 Operations on Rational Numbers
• RD Sharma Solutions Class 7 Maths Chapter 6 Exponents
• RD Sharma Solutions Class 7 Maths Chapter 7 Algebraic Expressions
• RD Sharma Solutions Class 7 Maths Chapter 8 Linear Equations in One Variable
• RD Sharma Solutions Class 7 Maths Chapter 9 Ratio and Proportion
• RD Sharma Solutions Class 7 Maths Chapter 10 Unitary Method
• RD Sharma Solutions Class 7 Maths Chapter 11 Percentage
• RD Sharma Solutions Class 7 Maths Chapter 12 Profit and Loss
• RD Sharma Solutions Class 7 Maths Chapter 13 Simple Interest
• RD Sharma Solutions Class 7 Maths Chapter 14 Lines and Angles
• RD Sharma Solutions Class 7 Maths Chapter 15 Properties of Triangles
• RD Sharma Solutions Class 7 Maths Chapter 16 Congruence
• RD Sharma Solutions Class 7 Maths Chapter 17 Constructions
• RD Sharma Solutions Class 7 Maths Chapter 18 Symmetry
• RD Sharma Solutions Class 7 Maths Chapter 19 Visualising Solid Shapes
• RD Sharma Solutions Class 7 Maths Chapter 20 Mensuration I (Perimeter and Area of Rectilinear Figures)
• RD Sharma Solutions Class 7 Maths Chapter 21 Mensuration II (Area of Circle)
• RD Sharma Solutions Class 7 Maths Chapter 22 Data Handling I (Collection and Organisation of Data)
• RD Sharma Solutions Class 7 Maths Chapter 23 Data Handling II (Central Values)
• RD Sharma Solutions Class 7 Maths Chapter 24 Data Handling III (Constructions of Bar Graphs)
• RD Sharma Solutions Class 7 Maths Chapter 25 Data Handling IV (Probability)

RD Sharma Solutions for Class 7 Maths Chapter 24 Data Handling – III (Constructions of Bar graphs)

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Access answers to Maths RD Sharma Solutions for Class 7 Chapter 24 – Data Handling – III (Constructions of Bar graphs)

Exercise 24.1 Page No: 24.5

1. Two hundred students of Classes VI and VII were asked to name their favourite colours so as to decide upon what should be the colour of their school house. The results are shown in the following table.

Represent the given data on a bar graph.

(i) Which is the most preferred colour and which is the least?

(ii) How many colours are there in all?

Steps of constructing bar graph:

1. Mark the horizontal axis OX as Name of the Colour and the vertical axis OY as Number of Students.

2. Along the horizontal axis OX, choose bars of uniform (equal) width, with a uniform gap between them.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 small division to represent 10 students.

(i) The most preferred colour is blue, and the least preferred is green.

(ii) In all, there are 5 colours.

2. Following data gives total marks (out of 600) obtained by six children of a particular class.

Represent the data by a bar graph

1. Mark the horizontal axis OX as Name of the Students and the vertical axis OY as Marks Obtained.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 small division to represent 100 marks.

3. Number of children in six different classes is given below. Represent the data on a bar graph.

(i) How do you choose the scale.

(ii) Which class has the maximum number of children?

(iii) Which class has the minimum number of children?

1. Mark the horizontal axis OX as Class and the vertical axis OY as Number of Children.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 40 children.

(i) We choose 1 big to represent 40 children.

(ii)The maximum numbers of students are in class V.

(iii) The minimum number of students are in class X.

4. The performance of students in 1st term and 2nd term is as given below. Draw a double bar graph choosing appropriate scale, and answer the following:

(i) In which subject, has the children improved their performance the most?

(ii) Has the performance gone down in any subject?

1. Mark the horizontal axis OX as Subject and the vertical axis is OY as Marks.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 marks.

(i) In Maths, the students showed their greatest improvement.

(ii) The students performed worst in Hindi

5. Consider the following data gathered from a survey of a colony:

Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?

(i) Which sport is most popular?

(ii) What is more preferred watching or participating in sports?

Steps of constructing graph:

1. Mark the horizontal axis OX as Favourite Sports and the vertical axis OY as Number of People.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 2 big divisions to represent 400 people.

(i) Cricket is the most popular sport.

(ii)Watching is preferred over participation.

6. The production of saleable steel in some of the steel plants of our country during 1999 is given below:

Construct a bar graph to represent the above data on a graph paper by using the scale 1 big division = 20 thousand tonnes.

1. Mark the horizontal axis OX as Name of the Steel Plant and the vertical axis OY as Production (in thousand tonnes).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 20 thousand tonnes.

7. The following data gives the number (in thousands) of applicants registered with an Employment Exchange during, 1995-2000:

Construct a bar graph to represent the above data.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Number of Applicants Registered (in thousands).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 4 thousand applicants.

8. The following table gives the route length (in thousand kilometres) of the Indian Railways in some of the years:

Represent the above data with the help of a bar graph.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Route Length (in thousand kilometres).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10000 Km.

9. The following data gives the amount of loans (in crores of rupees) disbursed by a bank during some years:

(i) Represent the above data with the help of a bar graph.

(ii) With the help of the bar graph, indicate the year in which amount of loan is not increased over that of the preceding year.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Loan (in crores of rupees).

2. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 crores of rupees.

(ii) In 1995, the loan amount was not increased over that of the preceding year.

10. The following table shows the interest paid by a company (in lakhs):

Draw the bar graph to represent the above information.

1. Mark the horizontal axis OX as Years and the vertical axis OY as Interest (in lakhs of rupees).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big divisions to represent 5 lakhs rupees.

11. The following data shows the average age of men in various countries in a certain year:

Represent the above information by a bar graph.

1. Mark the horizontal axis OX as Countries and the vertical axis OY as Average Age of men (in years).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 10 year.

12. The following data gives the production of food grains (in thousand tonnes) for some years:

1. Mark the horizontal axis OX as Years and the vertical axis OY as Production of food grains (in thousand tonnes).

13. The following data gives the amount of manure (in thousand tonnes) manufactured by a company during some years:

(i) Represent the above data with the help of bar graph.

(ii) Indicate with the help of the bar graph the year in which the amount of manure manufactured by the company was maximum.

(iii) Choose the correct alternative:

The consecutive years during which there was maximum decrease in manure production are:

(a) 1994 and 1995 (b) 1992 and 1993

(c) 1996 and 1997 (d) 1995 and 1996

1. Mark the horizontal axis OX as Years and the vertical axis OY as Manure (in thousand tonnes).

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph. Here, we choose 1 big division to represent 5 thousand tonnes.

(ii) In the year 1994, the amount of manure manufactured by the company was maximum.

(iii) 1996 and 1997.

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MCQ Questions for Class 7 Maths Chapter 3 Data Handling with Answers

We have compiled the NCERT MCQ Questions for Class 7 Maths Chapter 3 Data Handling with Answers Pdf free download covering the entire syllabus. Practice MCQ Questions for Class 7 Maths with Answers on a daily basis and score well in exams. Refer to the Data Handling Class 7 MCQs Questions with Answers here along with a detailed explanation.

Data Handling Class 7 MCQs Questions with Answers

Choose the correct option.

Question 1. Mean of the first six prime numbers is (a) 7.83 (b) 5.83 (c) 6.83 (d) 4.83

Answer: (c) 6.83

Question 2. What is the mode of the following set of numbers? 1, 2, 3, 2, 1, 5, 6, 1 (a) 3 (b) 1 (c) 2 (d) 5

Answer: (b) 1

Question 3. A die is rolled then the probability that the number of dot’s on its upper face is less than 5 is (a) 0 (b) \(\frac {1}{3}\) (c) \(\frac {2}{3}\) (d) 1

Answer: (c) \(\frac {2}{3}\)

Question 4. Which measure describes the centre of a set of data? (a) Mode (b) Mean (c) Median (d) All the these

Answer: (c) Median

Question 5. The data which is collected directly from the source is called (a) primary data (b) ungrouped data (c) grouped data (d) secondary data

Answer: (a) primary data

Question 6. The median of 1, 4, 1, 2, 0, 1, 5, 4, 2, 2 is (a) 0 (b) 1 (c) 2 (d) 4

Answer: (c) 2

Question 7. The range of 35, 40, 22, 17, 65, 31, 78, 33 is (a) 35 (b) 17 (c) 61 (d) 33

Answer: (c) 61

Question 8. A coin is tossed. What is the probability of getting tail? (a) 1 (b) \(\frac {1}{2}\) (c) 2 (d) 0

Answer: (b) \(\frac {1}{2}\)

Question 9. A die is thrown. What is the probability of getting 6? (a) 0 (b) \(\frac {1}{6}\) (c) \(\frac {1}{2}\) (d) 1

Answer: (a) 0

Question 10. The median of the data 20, 30, 40, 10,15, 25, 35 is (a) 20 (b) 25 (c) 30 (d) 40

Answer: (b) 25

Question 11. Range of data is equal to: (a) highest value + lowest value (b) highest value – lowest value (c) highest value × lowest value (d) highest value + lowest value

Answer: (b) highest value – lowest value

Question 12. Which of the following is the mean of the given data? (a) The middle value of the data arranged in ascending or descending order. (b) The value of the observation occurring most frequently. (c) The sum of all the values of the data divided by the total number of values. (d) None of these.

Answer: (c) The sum of all the values of the data divided by the total number of values.

Fill in the blanks

Question 1. The sum of all the observations when divided by the number of observations gives the ………………… of the data.

Answer: Mean

Question 2. The difference between the highest and the lowest observation is called the ………………… of the data.

Answer: Range

Question 3. The observation occurring the most in a set of given data is called the ………………… of the data.

Answer: Mode

Question 4. The mean of the first five natural numbers is …………………

Question 5. A die is thrown. The probability of getting a number less than 4 …………………

Answer: \(\frac {1}{2}\)

Question 6. The sum of all the observations, when divided by the number of observations gives the ………………. of the data. [median/mean]

Answer: mean

Question 7. The difference between the highest and the lowest observation is called the ………………. of the data. [mode/range]

Answer: range

Question 8. The mean of first ten whole ………………. numbers is [4.5/5.5]

Answer: 4.5

Question 9. The mean of first ten natural ………………. numbers is [5/5.5]

Answer: 5.5

Question 10. The mode is ………………. one of the given data, [always/not always]

Answer: always

Question 11. The mean is ………………. one of the given data, [always/not always]

Answer: not always

Q. 12 to 15 use the data. 5, 4, 0, 1, 6, 2, 4, 3, 7, 8

Question 12. Mean of the data is ……………….

Question 13. Range of the data is ……………….

Question 14. Median of the data is ……………….

Question 15. Mode of the data is ……………….

Question 16. A die is thrown. The probability of getting a prime number is ……………….

Question 17. For tossing a coin, the probability of getting ……………….

Hope the information shed above regarding NCERT MCQ Questions for Class 7 Maths Chapter 3 Data Handling with Answers Pdf free download has been useful to an extent. If you have any other queries of CBSE Class 7 Maths Data Handling MCQs Multiple Choice Questions with Answers, feel free to reach us so that we can revert back to us at the earliest possible.