AP STATISTICS SUMMER ASSIGNMENT

Summer Assignment includes:

1. PURCHASE the textbook, as soon as possible, so you have it for this summer assignment.

Title: The Practice of Statistics, 5th edition

Author: Starnes Yates Moore

Publisher: WH Freeman & Company

2. READ Chapter 1

3. COMPLETE Chapter 1 Guided Notes (a separate document)

4. REVIEW the Glossary of Important Terms

Introduction: Welcome to AP Statistics! Below are the directions for the summer assignment. The

purpose of this assignment is to get us off to a strong start by covering the first chapter of the AP Statistics

book. This will ensure that we have sufficient time to cover all of the material in the course and ample time

to review for the AP exam. The first chapter is reviewing some of the concepts you have learned in

previous math courses and also introducing to some new vocabulary and concepts. You will need to focus

on this new AP Statistic vocabulary. During the school year, we would normally take about 4 class periods

to get this work done. Please read these directions carefully and contact me by email at

bsmith@mountpisgahschool.org if you have any questions about the assignment or require clarification

about my expectations of the work that you do.

Resources/Supplies

Our textbook is The Practice of Statistics (Starnes, Yates, Moore, 5th ed.). I will refer to this book

as TPS5e throughout the year. This textbook is well-aligned to the AP Statistics curriculum and the

sample problems and activities will prepare you well for the AP Statistics exam.

You will need a TI-84+ graphing calculator. I will be demonstrating problems using the TI-84+ all year

and tips on how to use this calculator are provided throughout the TPS5e textbook.

It is recommend that you have a large three ring binder; since you will be provide a large number AP

Practice problems and the Schoology site will have additional documents that you may find helpful to print

and keep in your notebook.

The Practice of Statistics / Edition 5 by Starnes, Tabor, Yates, and Moore

ISBN-10: 1464108730 ISBN-13: 9781464108730 Pub. Date: 12/28/2013 Publisher: Freeman, W. H. & Company

Assignment

READ Chapter 1 “Exploring Data”. There are 81 pages in this first chapter, but it is probably the

easiest chapter we will cover. Pay careful attention to the examples, the calculator procedures, and the AP

Exam tips that are located in the page margins.

As you read, COMPLETE the Guided Reading Notes. These notes will help you focus on the key

concepts and new vocabulary. This will be collected and graded the first day of school in the fall.

Caution about Academic Integrity

DO NOT copy the answers to any assignment from sources you find on the internet, the textbook

solutions, or other sources. Doing so will be considered a violation of the Honor Code will result in a zero

for the assignment.

Caution! Answers you find on the internet are sometimes incorrect and will often be stated using

terminology and techniques that are not specific to the current AP Statistics curriculum.

Due Date and Grading of Summer Assignment

The Summer Assignment must be completed by the first day of class! I will not accept any late

summer assignments so do not wait until the last minute to work on these. Each student will read and

learn at a different pace so be sure to give yourself plenty of time to complete the assignment.

● This assignment will count as a quiz grade. LATE WORK WILL NOT BE ACCEPTED!

Finally

The first 2-3 days of class will be used to do a whole class activity. We will then move quickly through

Chapter 1 and will have a test over the Chapter within the couple weeks of class. Again, if you have any

questions, email me.

Enjoy Your Summer! Mr. Smith

Chapter 1: Exploring Data

Reading Note:

· Notes can be written or typed.

· Read the “EXAMPLE” sections and make sure you understand the answers to the questions.

· Read “TECHNOLOGY CORNER” sections and ACTUALLY DO the examples with your calculator. Make sure you understand how to use your calculator!!!! It will be your best friend J

· You do NOT need to read the “ACTIVITY” sections!

· “Check Your Understanding” problems are optional (the answers are in the back of the book).

Vocabulary YOU must know!

§ individual

§ variable

§ categorical variable

§ quantitative variable

§ distribution

§ inference

§ frequency table

§ relative frequency table

§ pie chart

§ bar graph

§ segmented bar graph

§ side-by-side bar graph

§ two-way table (rows and columns)

§ marginal distributions

§ conditional distributions

§ association

§ dotplots

§ stemplots

§ histogram

§ SOCS (or CUSS & BS)

§ outlier

§ shape

§ symmetric distribution

§ Skewed to the right

§ Skewed to the left

§ Unimodal distribution

§ Bimodal distribution

§ Uniform distribution

§ resistant

§ outlier

§ S

§ center

§

§ µ

§ median

§ spread, variability

§ quartiles

§ Q1, , M, Q3

§ IQR

§ five-number summary

§ minimum

§ maximum

§ range

§ boxplot

§ standard deviation

§ variance

Introduction Data Analysis: Making Sense of Data

1. Individuals are…

2. A variable (it is NOT X) is …

3. Explain the difference between a categorical variable and a quantitative variable.

Give examples of categorical

variables:___________________________________________

Give examples of quantitative

variables:__________________________________________

4. Define distribution:

5. Explain what inference is:

In your own words, explain the example discussed on page 5:

1.1 Analyzing Categorical Data

1. What is the difference between a data table, frequency table, and relative frequency

table?

2. What type of data are pie charts and bar graphs used for?

3. Bar graphs represent each_______________________ as a bar and the bar heights give

the category _____________________ or ____________________.

4. What is a two-way table (tip: sketch an example and discuss rows and columns)?

5. Define marginal distribution:

6. Define conditional distribution:

· Describe how you decide which conditional distribution to compare (pg17, think

about it: explanatory vs. response).

7. Use the following two-way table,

a) To explain the difference between a marginal distribution and a conditional

distribution.

b) To give an example demonstrating how to calculate a marginal distribution:

c) To give an example demonstrating how to calculate a conditional distribution:

8. What is the purpose of using a segmented bar graph and side-by-side bar graph?

9. Explain the difference between a segmented bar graph and side-by-side bar graph (an

easy way to do this is to sketch graphs of each and show the differences).

10. Explain what it meant by an association between two variables; Give an example.

11.

1.2 Analyzing Categorical Data

1. Here is a sketch of a dotplot. What is the advantage of using this type of graph (discuss size of the data set and what the graph shows)?

What does each Dot represent?

What is missing from graph?

2. [VERY IMPORTANT CONCEPT!!] When examining a distribution, you must describe the

overall pattern with these 4 components. AND if you compare 2 or more distributions,

you must write a sentence for each of the following 4 components. Each sentence

addresses a component and compares the distributuions.

S___________ O__________ C________

S_________

· I call this SOCS.

· Shape, Outliers, Center, Spread. Be specific when talking about each.

· Make sure you understand how to compare distributions in context.

3. Describe Shape

a) Describe and illustrate the following distributions:

Symmetric (do NOT use the word NORMAL here!)

Skewed to the right

(or positively skewed)

Skewed to the left

(or negatively skewed)

\Describe Shape (continued)

b) Describe and illustrate the following distributions:

Unimodal (do NOT use

NORMAL!)

Bimodal (Don’t worry about

little bumps)

Uniform

4. What is the advantage of using a stemplot (discuss size of the data set and what the graph shows)?

Give an example of a KEY, which is required in stemplot graph:

a) When is it beneficial to split the stems on a stemplot?

b) When is it best to use a back-to-back stemplot?

5. When is a histogram a better choice of a graph than a dotplot or a stemplot?

6. Are bar graphs and histogram the same? NO!

IMPORTANT Make sure you understand the differences!!!

· Bar graphs display "categorical data" and the bars are NOT connected.

· Histograms display "continuous numerical data", that is data that represents measured quantity, and the bars are connected to show the shape of the distribution

7. List the three steps involved in making a histogram.

8. Why is it advantageous to use a relative frequency histogram instead of a frequency histogram?

9. Do Technology Corner (page 38) problem. Make sure you understand how to (1) put data in lists, (2) change window settings to easily sketch your graph, and (3) graph histograms.

1.3 Analyzing Categorical Data

Describe Center

1. What is the meaning of å (sigma)? 2. For mean, (Xbar):

· give the formula and explain how to use it

· explain where to find the mean on the calculator

3. Explain the difference between and m (mu).

4. Define resistant measure:

5. Explain why the mean is not a resistant measure of center.

6. What is the median (M) of a distribution

· Explain how to calculate median by hand , when there is an odd number of data

values

· Explain how to calculate median by hand , when there is an even number of data

values

· Explain where to find the median on the calculator

7. Explain why the median is a resistant measure of center?

Describe Center (continued)

8. How does the shape of the distribution affect the mean and median?

· Shape is symmetric

· Shape is skewed right

· Shape is skewed left

Describe Spread and Outliers

9. What is the range? IMPORTANT: range is a single number!

10. Is the range a resistant measure of spread? Explain.

11. Quartiles:

· How do you find the first quartile Q1 by hand?

· How do you find the third quartile Q3 by hand?

· Explain where to find the quartiles on the calculator

12. What is the Interquartile Range (IQR)? IMPORTANT: it is a single number!

13. Is the IQR a resistant measure of spread? Explain.

14. How is the IQR used to identify outliers?

· Large outliers

· Small outliers

15. What is the five-number summary of a distribution?

16. Explain how to use the five-number summary to make a boxplot. How do you identify outliers?

17. Do Technology Corner (page 61) problem. Data for NC is on page 56. Data for NY is on page 57. Make sure you understand how to put (1) data in lists, (2) change window settings, (3) graph box plots with outliers identified; and (4) graph side-by side box plots.

Describe Spread and Outliers (continued)

.

18. Standard deviation (s or sx):

· What does the standard deviation (s or sx) measure?

· give the formula and explain how to use it

· explain where to find the standard deviation on the calculator

19. Variance (sx 2or s2

)

· What does the variance (sx 2or s2

) measure?

· give the formula for variance

· explain where to find the variance on the calculator

· Why do we prefer to use standard deviation and NOT variance?

20. What are the 4 properties of the standard deviation explained on page 64?

21. Do Technology Corner (page 65) problem to find summary statistics. Data for NC is on page 56. Data for NY is on page 57. Make sure you understand how to put (1) data in lists, (2) find one-variable statistics, and (3) read computer output given one-variable statistics.

22. How should one go about choosing measures of center and spread?