Question

given the following box plot, choose the best description of the distribution. the distribution of the data is symmetric. the distribution of the data is skewed right. the distribution of the data is skewed left.

Explanation:

Step1: Recall box - plot skewness rules

If the median is closer to the lower quartile and the right - whisker is longer than the left - whisker, the distribution is skewed right. If the median is closer to the upper quartile and the left - whisker is longer than the right - whisker, the distribution is skewed left. If the median is in the middle of the box and the whiskers are approximately the same length, the distribution is symmetric.

Step2: Analyze the given box - plot

In the given box - plot, the median (78) is closer to the lower quartile (65) and the right - whisker (from 86 to 94) is longer than the left - whisker (from 51 to 65).

Answer:

The distribution of the data is skewed right.