Following are boxplots of weekly sales for a food store chain for three of its s

Question

Following are boxplots of weekly sales for a food store chain for three of its stores of similar size and location for two different states: State A (A) and State B (B). Compare the distribution of sales for the two states and describe in a report. Choose the correct answer below. The median in A is higher than the third quartile in B. The lowest performing store in A was higher than nearly 25% of the stores in B. The median in B is higher than the third quartile in A. The lowest performing store in B was higher than nearly 25% of the stores in A. The median in A is higher than the first quartile in B. The lowest performing store in A was higher than nearly 50% of the stores in B. The median in B is higher than the first quartile in A. The lowest performing store in B was higher than nearly 50% of the stores in A.

Explanation / Answer

In the "box" part od the box and whiskers plot, the bottommost line is Q1, the middle line is the median, and the topmost line is Q3.

Thus,

OPTION B: The median in B is higher than the third quartile in A. The lowest performing score in B was higher than nearly 25% of scores in A.

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[The second sentence is because the minimum of B (the lower whisker) is almost equal to the Q1 of A, which is higher than 25% of scores in A.]

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