Question

fast pax annual salaries (thousands of dollars) analysts determined that the $255,000 salary is an outlier. the box - and - whisker plot for the remaining data is shown. describe the shape of the graph and the most appropriate measure of center. what would you tell a friend about fast pax now?

Explanation:

• Shape of the graph: The box - and - whisker plot is skewed to the right. This is because the whisker on the right side (after the box) is longer than the whisker on the left side (before the box).
• Appropriate measure of center: When the data is skewed, the median is a more appropriate measure of center than the mean. The mean is affected by extreme values (even though the outlier of $255,000$ is removed, the remaining data still has some right - skewness). The median represents the middle value of the ordered data set and is not as influenced by the skewness.
• What to tell a friend: "Fast Pax has salaries that are skewed to the higher end (right - skewed). The typical salary (median) is a better representation of what a'middle' employee earns compared to the average (mean). Most employees earn salaries in the range shown by the box (inter - quartile range), with some on the lower end (left whisker) and a few on the higher end (right whisker) of the non - outlier data."

Answer:

The graph is right - skewed. The median is the most appropriate measure of center. You could tell a friend that Fast Pax has a right - skewed salary distribution and the median is a better indicator of a typical salary than the mean.