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A survey asked people to report their level of happiness from 1 (least happy) to

ID: 3208530 • Letter: A

Question

A survey asked people to report their level of happiness from 1 (least happy) to 100 (most happy). Complete parts (a) and (b) below.

a. Compare the median happiness level for the men to that for the women by completing the sentence below.

The median for the men was ...........and the median for the women was........,showing that the typicalman/woman tended to be a bit happier.

(Type integers or decimals. Do not round.)

b. Compare the interquartile range for the men to that for the women by completing the sentence below.

The interquartile range for the men was ........., and the interquartile range for the women was.......,showing more variation in happiness level for themen/women.

(Type integers or decimals. Do not round.)

levels of happiness of men and women

female Male Female Male

38 98 95 4

3 88 45 70

91 98 68 73

96 54 83 99

19 84 42 10

85 70 54 94

82 100 94 90

95 1 75 6

90 88 82 76

83 54 100 13

Explanation / Answer

Statcrunch output for the data is:

Summary statistics:

43

a) The median for the men was 74.5 and the median for the women was 82.5 showing that the typical woman tended to be a bit happier.

b) The interquartile range for the men was 58.5, and the interquartile range for the women was 43,showing more variation in happiness level for the men.

Column Median Q1 Q3 IQR Male 74.5 33.5 92 58.5 Female 82.5 49.5 92.5

43

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