Question

the descriptive statistics are shown. compare the measures. describe what these measures indicate about the shape of the box - and - whisker plot.

Explanation:

Step1: Analyze the relationship between mean, median and mode

In a symmetric distribution, mean = median = mode. Here, mean ($39500$) > mode ($23000$) > median ($20000$).

Step2: Recall the property of skewed distribution

In a positively - skewed distribution, the mean is pulled towards the tail (higher values). The tail is on the right side. The median is less than the mean, and the mode is also less than the mean.

Answer:

The distribution is positively skewed. In a box - and - whisker plot, this would mean that the right whisker (representing the higher values) is longer than the left whisker. The median is closer to the left side of the box (lower values), and the mean is greater than the median, indicating the influence of the higher - value outliers (as seen from the maximum value of $255000$) on the mean.