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Chapter 3: Q3 (page 124)

Boxplot Comparison Refer to the boxplots shown below that are drawn on the same scale. One boxplot represents weights of men, and the other boxplot represents weights of women. Which boxplot represents weights of women? Explain.

Short Answer

Expert verified

The boxplot at the bottom represents women鈥檚 weights as values in this plot are lower than the plot at the top. Generally, women have lower weights than men.

Step by step solution

01

Given information

Two boxplots are displayed. One plot corresponds to men鈥檚 weights, and the other corresponds to women鈥檚 weights.

Five Number Summary

Boxplot 1

Boxplot 2

Minimum value

50.3

39

First quartile

73

62.1

Second quartile (Median)

84.4

74

Third quartile

95.8

90.2

Maximum value

144.9

150.4

02

Interpreting boxplot

Aboxplotis a plot that depicts the five main numerical attributes of a dataset. The attributes are:

Minimum value: Left/Top Whisker of the plot

Maximum value: Right/ Bottom Whisker of the plot

First quartile: Left boundary of the box

Second quartile/Median: Middle partition of the box

Third quartile: Right boundary of the box

The boxplots of two or more datasets can be compared by analyzing these five values summarized using the datasets.

03

Comparison of the given boxplots

It can be observed that the boxplot at the top has values greater than those displayed in the bottom boxplot. Moreover, it is a general trend thatwomen鈥檚 weights are lower than men鈥檚 weights.

Therefore, it can be concluded that thebottom boxplot (boxplot 2) depicts the weights of women.

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