Question

the descriptive statistics are shown.
measure annual salary ($)
mean 39,500
median 20,000
mode 23,000
minimum 15,000
maximum 255,000
compare the measures. describe what these measures indicate about the shape of the box - and - whisker plot.

Explanation:

Step1: Analyze mean - median relationship

The mean ($39,500$) is much larger than the median ($20,000$). This indicates a right - skewed distribution. In a right - skewed distribution, the tail on the right side (higher values) pulls the mean in that direction.

Step2: Consider mode position

The mode ($23,000$) is close to the median. In a right - skewed distribution, the mode is typically less than the mean and close to the median.

Step3: Analyze minimum and maximum

The minimum is $15,000$ and the maximum is $255,000$. The large difference between the maximum and the other measures (mean, median, mode) further supports the idea of a right - skewed distribution with a long right tail.

Answer:

The box - and - whisker plot is right - skewed. The long right tail is indicated by the large maximum value compared to the mean, median, and mode, and the fact that the mean is greater than the median.