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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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Most popular questions from this chapter

In Exercises 29鈥�32, find the mean of the data summarized in the frequency distribution. Also, compare the computed means to the actual means obtained by using the original list of data values, which are as follows: (Exercise 29) 36.2 years; (Exercise 30) 44.1 years; (Exercise 31) 224.3; (Exercise 32) 255.1..

Age (year) of Best Actor when Oscar was won

Frequency

20鈥�29

1

30鈥�39

28

40鈥�49

36

50鈥�59

15

60鈥�69

6

70鈥�79

1

Critical Thinking. For Exercises 5鈥�20, watch out for these little buggers. Each of these exercises involves some feature that is somewhat tricky. Find the (a) mean, (b) median, (c) mode, (d) midrange, and then answer the given question.

TV Prices Listed below are selling prices (dollars) of TVs that are 60 inches or larger and rated as a 鈥渂est buy鈥� by Consumer Reports magazine.

Are the resulting statistics representative of the population of all TVs that are 60 inches and larger?

If you decide to buy one of these TVs, what statistic is most relevant, other than the measures of central tendency?

1800 1500 1200 1500 1400 1600 1500 950 1600 1150 1500 1750

In Exercises 5鈥�20, find the range, variance, and standard deviation for the given sample data. Include appropriate units (such as 鈥渕inutes鈥�) in your results. (The same data were used in Section 3-1, where we found measures of center. Herewe find measures of variation.) Then answer the given questions.

Caffeine in Soft Drinks Listed below are measured amounts of caffeine (mg per 12oz of drink) obtained in one can from each of 20 brands (7-UP, A&W Root Beer, Cherry Coke, . . ., Tab). Are the statistics representative of the population of all cans of the same 20 brands consumed by Americans?

0 0 34 34 34 45 41 51 55 36 47 41 0 0 53 54 38 0 41 47

Using the sample data from Exercise 1, find the z score corresponding to the prediction error of 0 min. Is that prediction error significantly low or high? Why or why not?

In Exercises 37鈥�40, refer to the frequency distribution in the given exercise and find the standard deviation by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: (Exercise 37) 11.5 years; (Exercise 38) 8.9 years; (Exercise 39) 59.5; (Exercise 40) 65.4.

Standard deviation for frequency distribution

s=n鈭�f.x2-鈭�f.x2nn-1

Age (yr) of Best Actress When Oscar Was Won

Frequency

20-29

29

30-39

34

40-49

14

50-59

3

60-69

5

70-79

1

80-89

1
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