one answer Recently a group of students answered the question, \"On average, how

Question

one answer Recently a group of students answered the question, "On average, how many expensive coffee beverages do you consume each week?" The boxplots show the distributions for the weekly number of expensive coffee beverages consumed for men and women. o points Men Womern 0 2 68 10 12 14 Number of expensive coffee beverages consumed weekly Which of the following statements is the most reasonable conclusion about the variability depicted in the boxplots? A. O There is less variability in the number of expensive coffee beverages consumed by women because the IQR is smaller. B. O There is less variability in the number of expensive coffee beverages consumed by women because the overall range is smaller. c. O There is less variability in the number of expensive coffee beverages consumed by men because there is no outlier. D. O There is less variability in the number of expensive coffee beverages consumed by men because the median is smaller

Explanation / Answer

Note: We know that there are many ways to describe variability including: 1) Range 2) Interquartile range (IQR)

3) Variance and Standard deviation

and in boxplot we prefered inter quartile range for measuring variability because, IQR is not affected by extreme values. It is thus a resistant measure of variability.

In above boxplot we can see that, IQR of Men is greater than IQR of Women.

Therefore,

the statement " There is less variability in the number of expensive coffee beverages consumed by women because IQR is small" is the most reasonable coclusion about the variability depicted in the boxplot.

Hence, Answer: A)

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