Download Skills Practice - Ottawa Hills Local Schools

NAME
12-3
DATE
PERIOD
Skills Practice
Distributions of Data
Use a graphing calculator to construct a histogram for the data, and use it to
describe the shape of the distribution. 1–3. See students’ graphs.
1. 14, 71, 63, 42, 24, 76,
34, 77, 37, 69, 54, 64,
47, 74, 59, 43, 76, 56
2. 53, 34, 36, 38, 43, 49,
52, 36, 39, 37, 58, 45,
37, 38, 46, 52, 45, 39
3. 51, 19, 46, 64, 29, 51,
58, 30, 55, 31, 34, 31,
50, 37, 40, 39, 40, 41
78, 52, 18, 54, 39, 28,
56, 74, 68, 36, 20, 49,
67, 47, 69, 68, 72, 69
55, 39, 40, 55, 38, 40,
42, 38, 45, 36, 46, 39,
35, 41, 49, 43, 52, 34
42, 32, 24, 48, 43, 45,
38, 43, 58, 47, 34, 36,
50, 54, 46, 28, 60, 22
negatively skewed
positively skewed
symmetric
Describe the center and spread of the data using either the
mean and standard deviation or the five-number summary.
Justify your choice by constructing a box-and-whisker
plot for the data.
5. 64, 36, 32, 65, 41, 38, 50, 44, 39, 34, 47, 35, 46, 36, 53, 35, 68, 40
36, 62, 34, 38, 59, 46, 63, 38, 67, 39, 59, 43, 39, 36, 60, 47, 52, 45
Sample answer: The distribution is skewed, so use the fivenumber summary. The minimum is 32, the maximum is 68, the
median is 43.5, and half of the data are between 37 and 56.
[10, 100] scl: 10 by [0, 5] scl: 1
6. 40, 39, 37, 26, 25, 40, 35, 34, 26, 39, 42, 33, 26, 25, 34, 38, 41, 34
37, 39, 32, 30, 22, 38, 36, 28, 27, 39, 34, 26, 36, 38, 25, 39, 23, 8
Sample answer: The distribution is skewed, so use the fivenumber summary. The range is 42 − 8 or 34. The median is
34, and half of the data are between 26 and 38.5.
7. PRESIDENTS The ages of the presidents of the United States
at the time of their inaugurations are shown. Describe the
center and spread of the data using either the mean and
standard deviation or the five-number summary. Justify your
choice by creating a box-and-whisker plot for the data.
[30, 70] scl: 4 by [0, 5] scl: 1
[0, 50] scl: 5 by [0, 5] scl: 1
Ages of Presidents
57, 61, 57, 57, 58, 57, 61, 54, 68, 51, 49, 64, 50, 48, 65,
52, 56, 46, 54, 49, 51, 47, 55, 55, 54, 42, 51, 56, 55, 51,
54, 51, 60, 62, 43, 55, 56, 61, 52, 69, 64, 46, 54, 47
Sample answer: The distribution is approximately symmetric,
so use the mean and standard deviation. The mean is about
54.7 years with standard deviation of about 6.2 years.
Chapter 12
19
[40, 70] scl: 3 by [0, 5] scl: 1
Glencoe Algebra 1
Lesson 12-3
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
4. 47, 16, 70, 80, 28, 33, 91, 55, 60, 45, 86, 54, 30, 98, 34, 87, 44, 35
64, 58, 27, 67, 72, 68, 31, 95, 37, 41, 97, 56, 49, 71, 84, 66, 45, 93
Sample answer: The distribution is symmetric, so use the
mean and standard deviation. The mean is about 58.7 with
standard deviation of about 22.8.