unit data & statistics homework 2

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Unit 11: Data and statistics

About this unit.

Let's collect and use data to make smart predictions about the world around you! You'll learn how to compare outcomes, to visualize the shape of the data, and to pick a graph type that shows its key features.

Statistical questions

• Statistical questions (Opens a modal)
• Statistical questions Get 5 of 7 questions to level up!

Dot plots & frequency tables

• Representing data (Opens a modal)
• Frequency tables & dot plots (Opens a modal)
• Creating frequency tables Get 3 of 4 questions to level up!
• Creating dot plots Get 3 of 4 questions to level up!
• Reading dot plots & frequency tables Get 3 of 4 questions to level up!
• Estimate center using dot plots Get 3 of 4 questions to level up!
• Creating a histogram (Opens a modal)
• Interpreting a histogram (Opens a modal)
• Create histograms Get 3 of 4 questions to level up!
• Read histograms Get 3 of 4 questions to level up!

Mean and median

• Statistics intro: Mean, median, & mode (Opens a modal)
• Mean, median, & mode example (Opens a modal)
• Calculating the mean (Opens a modal)
• Calculating the mean Get 3 of 4 questions to level up!
• Calculating the median Get 3 of 4 questions to level up!
• Calculating the mean: data displays Get 3 of 4 questions to level up!
• Calculating the median: data displays Get 3 of 4 questions to level up!

Mean and median challenge problems

• Missing value given the mean (Opens a modal)
• Mean as the balancing point (Opens a modal)
• Impact on median & mean: removing an outlier (Opens a modal)
• Impact on median & mean: increasing an outlier (Opens a modal)
• Missing value given the mean Get 3 of 4 questions to level up!
• Effects of shifting, adding, & removing a data point Get 3 of 4 questions to level up!

Interquartile range (IQR)

• Median & range puzzlers (Opens a modal)
• Interquartile range (IQR) (Opens a modal)
• Interquartile range review (Opens a modal)
• Interquartile range (IQR) Get 3 of 4 questions to level up!
• Reading box plots (Opens a modal)
• Constructing a box plot (Opens a modal)
• Worked example: Creating a box plot (odd number of data points) (Opens a modal)
• Worked example: Creating a box plot (even number of data points) (Opens a modal)
• Interpreting box plots (Opens a modal)
• Reading box plots Get 3 of 4 questions to level up!
• Creating box plots Get 3 of 4 questions to level up!
• Interpreting quartiles Get 3 of 4 questions to level up!

Mean absolute deviation (MAD)

• Mean absolute deviation (MAD) (Opens a modal)
• Mean absolute deviation example (Opens a modal)
• Mean absolute deviation (MAD) Get 3 of 4 questions to level up!

Comparing data displays

• Comparing dot plots, histograms, and box plots (Opens a modal)
• Comparing data displays Get 3 of 4 questions to level up!

Shape of data distributions

• Shapes of distributions (Opens a modal)
• Clusters, gaps, peaks & outliers (Opens a modal)
• Data and statistics FAQ (Opens a modal)
• Shape of distributions Get 3 of 4 questions to level up!
• Clusters, gaps, & peaks in data distributions Get 5 of 7 questions to level up!

Find what you need to study

📊 AP Statistics

📌 exam date: may 7, 2024.

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AP Stats Unit 2 Study Guides

Unit 2 – exploring two-variable data.

Unit 2 Overview: Exploring Two-Variable Data

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Introducing Statistics: Are Variables Related?

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Representing Two Categorical Variables

Statistics for Two Categorical Variables

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Representing the Relationship Between Two Quantitative Variables

Correlation

Linear Regression Models

Least Squares Regression

Analyzing Departures from Linearity

Additional Resources

Download AP Statistics Cheat Sheet PDF Cram Chart

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2024 AP Statistics Exam Guide

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How Do I Self-Study AP Statistics?

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What Are the Best Quizlet Decks for AP Statistics?

11 min read

What Are the Best AP Statistics Textbooks and Prep Books?

Is AP Statistics Hard? Is AP Statistics Worth Taking?

How Can I Get a 5 in AP Statistics?

What is bias?

Score Higher on AP Statistics 2024: MCQ Tips from Students

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AP Stats Mixed Units Practice FRQ #4 & Feedback

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AP Stats Unit 7 FRQ Practice Prompt (#1) Answers & Feedback

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AP Statistics Cram Unit 1: Exploring One Variable Data

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🌶️ AP Stats Cram Review: Unit 1: Exploring One Variable Data

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🌶️ AP Stats Cram Review: Unit 2: Exploring Two Variable Data

AP Statistics Cram Unit 3: Collecting Data

🌶️ AP Stats Cram Review: Unit 3: Collecting Data

Unit 1 - Exploring One-Variable Data Slides

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Unit 1 - Exploring One-Variable Data

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Unit 2 Cram Slides (AP Stats)

Unit 2 - Exploring Two-Variable Data

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Unit 3 - Collecting Data

Analyzing Categorical Data - Slides

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Sampling Methods and Sources of Bias - Slides

Sampling Methods and Sources of Bias

Displaying Quantitative Data with Graphs

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Bringing It Together: Homework

A certain small town in the United states has a population of 27,873 people. Their ages are as follows:

• Construct a histogram of the age distribution for this small town. The bars will not be the same width for this example. Why not? What impact does this have on the reliability of the graph?
• What percentage of the community is under age 35?
• Which box plot most resembles the information above?

Javier and Ercilia are supervisors at a shopping mall. Each was given the task of estimating the mean distance that shoppers live from the mall. They each randomly surveyed 100 shoppers. The samples yielded the following information.

• How can you determine which survey was correct ?
• Explain what the difference in the results of the surveys implies about the data.

Use the following information to answer the next three exercises : We are interested in the number of years students in a particular elementary statistics class have lived in California. The information in the following table is from the entire section.

What is the IQR ?

What is the mode?

Is this a sample or the entire population?

• entire population

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

• Find the sample mean x ¯ x ¯ .
• Find the approximate sample standard deviation, s .

Forty randomly selected students were asked the number of pairs of sneakers they owned. Let X = the number of pairs of sneakers owned. The results are as follows:

• Find the sample mean x – x –
• Find the sample standard deviation, s
• Construct a histogram of the data.
• Complete the columns of the chart.
• Find the first quartile.
• Find the median.
• Find the third quartile.
• Construct a box plot of the data.
• What percent of the students owned at least five pairs?
• Find the 40 th percentile.
• Find the 90 th percentile.
• Construct a line graph of the data
• Construct a stemplot of the data

Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year.

177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

• Organize the data from smallest to largest value.
• The middle 50% of the weights are from _______ to _______.
• If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?
• the population mean, μ .
• the population standard deviation, σ .
• the weight that is two standard deviations below the mean.
• When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he?
• That same year, the mean weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?

One hundred teachers attended a seminar on mathematical problem solving. The attitudes of a representative sample of 12 of the teachers were measured before and after the seminar. A positive number for change in attitude indicates that a teacher's attitude toward math became more positive. The 12 change scores are as follows:

3 ; 8 ; –1 ; 2 ; 0 ; 5 ; –3 ; 1 ; –1 ; 6 ; 5 ; –2

• What is the mean change score?
• What is the standard deviation for this population?
• What is the median change score?
• Find the change score that is 2.2 standard deviations below the mean.

Refer to Figure 2.51 determine which of the following are true and which are false. Explain your solution to each part in complete sentences.

• The medians for all three graphs are the same.
• We cannot determine if any of the means for the three graphs is different.
• The standard deviation for graph b is larger than the standard deviation for graph a.
• We cannot determine if any of the third quartiles for the three graphs is different.

In a recent issue of the IEEE Spectrum , 84 engineering conferences were announced. Four conferences lasted two days. Thirty-six lasted three days. Eighteen lasted four days. Nineteen lasted five days. Four lasted six days. One lasted seven days. One lasted eight days. One lasted nine days. Let X = the length (in days) of an engineering conference.

• Organize the data in a chart.
• Find the median, the first quartile, and the third quartile.
• Find the 65 th percentile.
• Find the 10 th percentile.
• The middle 50% of the conferences last from _______ days to _______ days.
• Calculate the sample mean of days of engineering conferences.
• Calculate the sample standard deviation of days of engineering conferences.
• Find the mode.
• If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice.
• Give two reasons why you think that three to five days seem to be popular lengths of engineering conferences.

A survey of enrollment at 35 community colleges across the United States yielded the following figures:

6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622

• Organize the data into a chart with five intervals of equal width. Label the two columns "Enrollment" and "Frequency."
• If you were to build a new community college, which piece of information would be more valuable: the mode or the mean?
• Calculate the sample mean.
• Calculate the sample standard deviation.
• A school with an enrollment of 8000 would be how many standard deviations away from the mean?

Use the following information to answer the next two exercises. X = the number of days per week that 100 clients use a particular exercise facility.

The 80 th percentile is _____

The number that is 1.5 standard deviations BELOW the mean is approximately _____

• Cannot be determined

Suppose that a publisher conducted a survey asking adult consumers the number of fiction paperback books they had purchased in the previous month. The results are summarized in the Table 2.84 .

• Are there any outliers in the data? Use an appropriate numerical test involving the IQR to identify outliers, if any, and clearly state your conclusion.
• If a data value is identified as an outlier, what should be done about it?
• Are any data values further than two standard deviations away from the mean? In some situations, statisticians may use this criteria to identify data values that are unusual, compared to the other data values. (Note that this criteria is most appropriate to use for data that is mound-shaped and symmetric, rather than for skewed data.)
• Do parts a and c of this problem give the same answer?
• Examine the shape of the data. Which part, a or c, of this question gives a more appropriate result for this data?
• Based on the shape of the data which is the most appropriate measure of center for this data: mean, median or mode?

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Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

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Data and Statistics Unit 7th Grade TEKS

A 10 day Data and Statistics TEKS-Aligned complete unit including: population inferences, interpreting bar graphs, interpreting circle graphs, comparing dot plots, and comparing box plots.

Description

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Students will practice with both skill-based problems, real-world application questions, and error analysis to support higher level thinking skills.  You can reach your students and teach the standards without all of the prep and stress of creating materials!

Standards:   TEKS: 7.6G, 7.12A, 7.12B, 7.12C;  Looking for CCSS-Aligned Resources?  Grab the Data and Statistics CCSS-Aligned Unit.  Please don’t purchase both as there is overlapping content.

Learning Focus:

• solve problems using data represented in bar graphs, circle graphs, and dot plots
• make inferences about a population
• compare the shapes, centers, and spreads of dot plots and box plots

What is included in the 7th grade teks Data and Statistics Unit?

1. Unit Overviews

• Streamline planning with unit overviews that include essential questions, big ideas, vertical alignment, vocabulary, and common misconceptions.
• A pacing guide and tips for teaching each topic are included to help you be more efficient in your planning.

2. Student Handouts

• Student-friendly guided notes are scaffolded to support student learning.
• Available as a PDF and the student handouts/homework/study guides have been converted to Google Slides™ for your convenience.

3. Independent Practice

• Daily homework is aligned directly to the student handouts and is versatile for both in class or at home practice.

4. Assessments

• 1-2 quizzes, a unit study guide, and a unit test allow you to easily assess and meet the needs of your students.
• The Unit Test is available as an editable PPT, so that you can modify and adjust questions as needed.

5. Answer Keys

• All answer keys are included.

***Please download a preview to see sample pages and more information.***

How to use this resource:

• Use as a whole group, guided notes setting
• Use in a small group, math workshop setting
• Chunk each student handout to incorporate whole group instruction, small group practice, and independent practice.
• Incorporate our  Data and Statistics Activity Bundle  for hands-on activities as additional and engaging practice opportunities.

Time to Complete:

• Each student handout is designed for a single class period. However, feel free to review the problems and select specific ones to meet your student needs. There are multiple problems to practice the same concepts, so you can adjust as needed.

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• The unit test is editable with Microsoft PPT. The remainder of the file is a PDF and not editable.

Looking for more 7th Grade Math Material? Join our All Access Membership Community! You can reach your students without the “I still have to prep for tomorrow” stress, the constant overwhelm of teaching multiple preps, and the hamster wheel demands of creating your own teaching materials.

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This resource is often paired with:

Digital Math Activity Bundle 7th Grade

Statistics Activity Bundle 7th Grade

Data and Statistics Unit 7th Grade CCSS

BUS204: Business Statistics

Descriptive Statistics Homework

Attempt these practice problems and then check your answers. Note that not every part of these problems has an included solution.

• Construct a histogram of the data.
• Complete the columns of the chart.
• Find the first quartile.
• Find the median.
• Find the third quartile.
• Construct a box plot of the data.
• What percent of the students owned at least five pairs?
• Find the 40th percentile.
• Find the 90th percentile.
• Construct a line graph of the data
• Construct a stem plot of the data
• Organize the data from smallest to largest value.
• The middle 50% of the weights are from _______ to _______.
• If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?
• If our population were the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why?
• That same year, the average weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
• Organize the data in a chart.
• Find the median, the first quartile, and the third quartile.
• Find the 65th percentile.
• Find the 10th percentile.
• The middle 50% of the conferences last from _______ days to _______ days.
• Calculate the sample mean of days of engineering conferences.
• Calculate the sample standard deviation of days of engineering conferences.
• Find the mode.
• If you were planning an engineering conference, which would you choose as the length of the conference: mean; median; or mode? Explain why you made that choice.
• Give two reasons why you think that 3 - 5 days seem to be popular lengths of engineering conferences.

Try these multiple choice questions. Exercises (4 - 10)

Data Analysis and Statistics Homework (Algebra 2 - Unit 13)

Also included in

Description

This is a bundle of homework and daily quizzes for Unit 13: DATA ANALYSIS & STATISTICS , designed for Algebra 2 Honors students. The file includes 17 pages of homework assignments plus two forms of a daily content quiz that you can use as a homework check, group work, or exit tickets.

The unit includes the following topics:

1) Measures of Central Tendency

2) Analyzing Data

3) Working With Samples

4) Binomial Distributions

5) Normal Distributions

6) Confidence Intervals & Hypothesis Testing

Click HERE to SAVE 20% by buying all DATA ANALYSIS & STATISTICS products, including cooperative activities, in UNIT 13 MEGA BUNDLE.

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Guided Notes

Data Analysis Essentials

Data Analysis Activities & Assessments

Data Analysis Stations Activity

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