Answer:
Options D and E. See explanation for more understanding.
Explanation:
Select all the distribution shapes for which the median could be much less than the mean.
OPTIONS:
(A) NOT APPLICABLE
In a symmetric distribution (a perfectly symmetric distribution), the median is equal to the mean.
(B) NOT APPLICABLE
A bell-shaped distribution is same as the standard normal distribution. The median here is equal to the mean.
(C) NOT APPLICABLE
In a left-skewed distribution, the median is greater than the mean.
(D) APPLICABLE
In a right-skewed distribution, the median is much less than the mean.
(E) SELDOM APPLICABLE
A bimodal distribution is one with two modes; in other words, two observations with the same frequency of occurrence. A bimodal distribution has its mean equal to its median if it is a symmetric distribution and otherwise if it is an asymmetrical distribution.