9
QuizMultiple Choice

N/A — Exam

Question 9 • Mathematics I

Which statement explains the best measure of variability to use to compare the data sets?

Answer
A
The range is the best measure because the distribution of zucchini weights is skewed left.
B
The median is the best measure because the data sets have different medians.
C
The standard deviation is the best measure because both data distributions are symmetric.
D
The mean is the best measure because the data sets have the same minimum weight.

Explanation

Standard deviation measures how spread out data values are around the mean, and it is appropriate when distributions are symmetric. The median and mean describe center, not variability, while the range depends only on the two extreme values. So the statement favoring standard deviation because both distributions are symmetric is the best choice.

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