This document contains sample questions, activities, and practice problems related to histograms, dot plots, and analyzing distributions from Chapter 10.3 of Big Ideas Math Green. It includes examples of stem-and-leaf plots, dot plots, histograms, and frequency tables as well as questions about describing shape of distributions, comparing data sets, and identifying median, range, and outliers. The document is intended to help students learn and practice key concepts before, during, and after the corresponding lesson.

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347
Activity
10.3
Start Thinking!
For use before Activity 10.3
Activity
10.3
Warm Up
For use before Activity 10.3
What are some similarities and differences of a
bar graph and a histogram?
Use the stem-and-leaf plot.
1. How many data values are in the set?
2. What is the least value? greatest value?
3. What is the median? range?
4. Is the value 24 in the set? Explain.
Stem Leaf
0 3 5 6
1
2 2 2 5 7 8
3 0 3 7 9 9
Key: 2|2 = 22

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348
Lesson
10.3
Start Thinking!
For use before Lesson 10.3
Lesson
10.3
Warm Up
For use before Lesson 10.3
What does it mean for a data set to have a
skewed distribution?
Make a dot plot of the data. In your own
words, how would you describe the shape
of distribution?
Ride Tickets Sold
35 29 30 33 27
28 25 29 30 30
31 31 30 32 30

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349
10.3 Practice A
Name_________________________________________________________ Date __________
Make a dot plot of the data. In your own words, how would you describe
the shape of the distribution?
1. 2.
Describe the shape of each distribution.
3. 4.
5. The frequency table shows the ages of the members of two local fitness clubs.
a. Display the data for each fitness club in a histogram. Describe the shape
of each distribution.
b. Which fitness club would appeal more to a young adult? Explain.
Cups of Water Per Day
8 6 9 6 8 8 8 10 7 8
7 9 8 10 7 9 5 8 11 8
Pairs of Shoes Worn Per Day
1 1 1 3 2 2 1 2 1 3 4
2 1 1 2 3 1 1 2 4 2 2
0 1 2 43 5
Inches
Inches of Rainfall
10
20
30
40
50
60
0
0–19 20–39 40–59 60–79 80–99
Houses
Frequency
Houses on Paper Routes
Ages of Members 18–25 26–33 34–41 42–49 50–57 58–65
Frequency for Fitness Club A 14 19 13 8 6 3
Frequency for Fitness Club B 4 9 12 13 8 5

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10.3 Practice B
Name _________________________________________________________ Date _________
Describe the shape of each distribution.
1. 2.
3. The frequency table shows the numbers of books read this month for the
students in your class and the students in your friend’s class.
a. Display the data for each class in a dot plot. Describe the shape of
each distribution.
b. Which class read more books? Explain.
c. Which class has a greater mean? Explain.
d. Which class has a lesser mode? Explain.
4. The table shows the number of videos
rented each day.
a. Make a histogram of the data starting
with the interval 10–19. Describe the
shape of the distribution.
b. During the following week, the number of video rentals were: 25, 37, 38,
31, 22, 35, 24. Make a new histogram including the new video rental data.
c. Describe the shape of the new distribution.
0 1 2 43 5 6
RBIs
Runs Batted In
10
20
30
40
50
60
0
0–19 20–39 40–59 60–79 80–99
Points
Frequency
Test Scores
Number of Books Read This Month 0 1 2 3 4 5
Your Class 0 3 6 8 7 6
Your Friend’s Class 6 10 7 5 1 1
Videos Rented
54 61 43 48 14 21 51 42 35
36 52 29 17 65 43 59 24 48
42 62 36 29 19 58 51 47 42

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351
10.3 Enrichment and Extension
Name_________________________________________________________ Date __________
Using Scatter Plots
A scatter plot displays two sets of data to determine if there is a relationship between the
data. If the data appear to be increasing from left to right, there is a positive correlation.
If the data appear to be decreasing from left to right, there is a negative correlation. If
the data are neither increasing nor decreasing, there is no correlation.
Example: Create a scatter plot from the data and determine if there is a positive
correlation, negative correlation, or no correlation.
The data appear to be increasing from left to right, so there is a positive correlation.
Using the data in the table, create a scatter plot. Then determine if there is
a positive correlation, negative correlation, or no correlation.
1.
2.
3.
4.
Determine if the data collected would be most likely to result in a positive
correlation, negative correlation, or no correlation. Explain.
5. The amount of television you watch and your grade in math class.
6. The number of songs on your MP3 player and the number of times you
brush your teeth every day.
Height (in.) 68 71 78 73 70
Weight (lb) 156 219 241 194 176
Hours Studying 1 3 0.5 2 1
Test Score 52 88 48 78 63
Month April May June July
Rainfall (in.) 6.1 7.9 3.9 6.9
Temperature °( F) 74 86 62 85
Popsicles Sold 215 325 185 332
Shoe Size 6 8 15 4 7
Favorite Number 12 30 1 0 99
68 70 72 74 76 78
250
225
200
175
150
Height (in.)
Weight(lb)

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352
Puzzle Time
Name _________________________________________________________ Date _________
Have You Heard The Joke About The Jump Rope?
Write the letter of each answer in the box containing the exercise number.
Make a dot plot of the data. Describe the shape of the distribution.
1.
H. Skewed left I. Symmetric J. Skewed Right
2.
G. Skewed left H. Symmetric I. Skewed Right
3.
R. Skewed left S. Symmetric T. Skewed Right
4.
T. Skewed left U. Symmetric V. Skewed Right
5.
N. Skewed left O. Symmetric P. Skewed Right
6. Display the data in a histogram. Describe the shape of the distribution.
K. Skewed left L. Symmetric M. Skewed Right
10.3
Ages of Concert Band Members
14 13 12 16 15 13 14 11 13 15 16 14 17 15 14 12
Number of Study Halls Per Week
1 3 1 2 1 2 0 3 4 2 0 2 6 1 4 1 5 2 1 3
Number of Siblings
5 5 5 6 1 4 2 4 2 3 4 3 4 3 6 7
Heights of Sixth Graders (inches)
61 59 60 63 59 61 62 57 61 60 58 60 58 60 60 59 61 61
Number of Blocks Students Walk to School
2 1 6 4 2 5 1 3 1 2 2 1 3 2 0 4 3 1 0 1
Ages 1–9 10–19 20–29 30–39 40–49 50–59 60–69
Frequency 1 2 2 4 5 6 2
3 6 2 5 1 4