Question

question 4 (1 point) select all the distribution shapes for which the median could be much less than the mean. a bell - shaped b bimodal c symmetric d skewed right e skewed left

Explanation:

Step1: Recall properties of mean and median

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

Step2: Analyze bell - shaped distribution

In a bell - shaped (normal) distribution, mean = median. So option a is not correct.

Step3: Analyze bimodal distribution

A bimodal distribution can be symmetric or skewed. In general, there is no guarantee that the median is much less than the mean. So option b is not correct.

Step4: Analyze symmetric distribution

In a symmetric distribution, mean = median. So option c is not correct.

Step5: Analyze right - skewed distribution

In a right - skewed distribution, there are large extreme values on the right. These large values pull the mean to the right, making the mean larger than the median. So option d is correct.

Step6: Analyze left - skewed distribution

In a left - skewed distribution, the mean is pulled to the left by the small extreme values, and the mean is less than the median. So option e is not correct.

Answer:

d. skewed right