3
QuizMultiple Choice

Representing Data

Question 3 • AZ-Common Core Algebra II B

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

Explanation

The distance from the minimum to the first quartile is the left whisker, and it is longer than the right whisker from the third quartile to the maximum. This suggests the data has a longer tail on the left, so it is skewed to the left. The mean is pulled toward that low-value tail, making it less than the median; therefore, choice C is correct.

AI-written and checked against the verified answer.

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