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Question 5 • Mathematics III

Indira makes a box-and-whisker plot of her data. She finds that the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value. Which is most likely true?

Answer
A
The mean is less than the median because the data is skewed to the left.
B
The mean is less than the median because the data is skewed to the right.
C
The mean is greater than the median because the data is skewed to the right.
D
The mean is greater than the median because the data is skewed to the left.

Explanation

The distance from the minimum to the first quartile is the lower whisker, and it is longer than the upper whisker. This suggests the data has a longer tail on the low-value side, so it is skewed to the left. Low values pull the mean below the median, making choice C, “The mean is less than the median because the data is skewed to the left,” correct.

AI-written and checked against the verified answer.

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