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 properties of mean and median

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

Step2: Analyze symmetric and bell - shaped

In symmetric and bell - shaped distributions, mean and median are approximately equal.

Step3: Analyze skewed left

In a skewed left distribution, the mean is less than the median.

Step4: Analyze skewed right

In a skewed right distribution, there are large extreme values on the right. These pull the mean to the right, making the mean much larger than the median.

Step5: Analyze bimodal

A bimodal distribution can have various relationships between mean and median, but it doesn't necessarily have the median much less than the mean.

Answer:

D. skewed right