Question

4 from unit 1, lesson 10 select all the distribution shapes for which the median could be much less than the mean. a. symmetric b. bell - shaped c. skewed left d. skewed right e. bimodal

Explanation:

Step1: Recall property of mean and median

The mean is affected by extreme values, while the median is the middle - value.

Step2: Analyze symmetric distribution

In symmetric (including bell - shaped) distributions, the mean and median are approximately equal.

Step3: Analyze skewed left distribution

In a skewed left distribution, the mean is less than the median because the long left - tail pulls the mean down.

Step4: Analyze skewed right distribution

In a skewed right distribution, the mean is greater than the median. The long right - tail with large values pulls the mean to the right.

Step5: Analyze bimodal distribution

A bimodal distribution can be symmetric or skewed in either direction. But in general, it doesn't necessarily have the median much less than the mean.

Answer:

D. skewed right