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.

Explanation:

In a box - and - whisker plot, when the distance from the minimum value to the first quartile is greater than the distance between the third quartile and the maximum value, the data is skewed to the left. In left - skewed data, the mean is pulled in the direction of the tail (left side), so the mean is less than the median.

Answer:

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