Question

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?
The mean is greater than the median because the data is skewed to the right.
The mean is greater than the median because the data is skewed to the left. The mean is less than the median because the data is skewed to the right
The mean is less than the median because the data is skewed to the left.

Answer 1

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?

The mean is less than the median because the data is skewed to the left.


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Answer 2

The description of the data distribution in Indira's box-and-whisker plot shows that the data is skewed to the left, therefore, the statement that is most likely true is: D. The mean of the data distribution is less than the median because the data is skewed to the left.

Skewed Data in a Box-and-whisker Plot

• A data distribution whereby the data is skewed to the left, the mean of the data would be less than the median.
• If the data distribution is skewed to the right, the mean is greater than the median.

Thus, the description of the data distribution in Indira's box-and-whisker plot shows that the data is skewed to the left, therefore, the statement that is most likely true is: D. The mean of the data distribution is less than the median because the data is skewed to the left.

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