In the same survey for which wives' heights are given in Example 2.19, husbands' heights were also recorded. A five number summary of husbands' heights (mm) follows:
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Husbands' Heights (n = 199)
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Median
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1725
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Quartiles
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1691
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1774
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Extremes
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1559
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1949
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a. Construct a boxplot for the husbands' heights.
b. Use the range to approximate the standard deviation for these heights.
c. What assumption did you need to make in part (b) to make the approximation appropriate?
d. The mean and standard deviation for these heights are 1732.5 mm and 68.8 mm. Use the Empirical Rule to construct an interval that should cover 99.7% of the data, and compare your interval to the extremes. Does the interval cover both extremes?