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68 UNIT 1 Exploring One-Variable Data

CHECK YOUR
UNDERSTANDING

Some students purchased pumpkins for a carving contest. Before the contest began,
they weighed the pumpkins. The weights in pounds are shown here, along with a
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histogram of the data.
3.6 4.0 9.6 14.0 11.0 12.4 13.0 2.0 6.0 6.6 15.0 3.4
12.7 6.0 2.8 9.6 4.0 6.1 5.4 11.9 5.4 31.0 33.0

8
7
Frequency 6 5 4

2 3
1
0
0 5 10 15 20 25 30 35
Pumpkin weight (lb)

1. Identify any outliers in the distribution.

2. Make a boxplot to display the data.

3. Explain why the boxplot does not completely display the shape of the distribution.

comparing Distributions with Boxplots and

Summary Statistics

Boxplots are especially effective for comparing the distribution of a quantitative vari-
able in two or more groups. Just remember to discuss shape, outliers, center, and vari-
ability as you did with comparative dotplots, stemplots, and histograms in Section 1C.

Which company makes better tablets? Skill 2.D
EXAMPLE comparing distributions with boxplots
and summary statistics

PROBLEM: To help potential purchasers make informed decisions, Con-

sumer Reports rated many tablet computers for performance and quality.

Based on several variables, the magazine gave each tablet an overall rating,
where higher scores indicate better ratings. The overall ratings of a sample
of tablets produced by Apple and Samsung are given here, along with
parallel boxplots of the data and summary statistics. 73
Scott Olson/Getty Images
87 87 87 87 86 86 86 86 84 84
Apple
84 84 83 83 83 83 81 79 76 73
88 87 87 86 86 86 86 86 84 84 83 83
Samsung
77 76 76 75 75 75 75 75 74 71 62

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