For continuous numerical unimodal data,the mean is usually less than the median in a skewed-left distribution,and greater than the median in a skewed-right distribution.

Question

Quizplus · Accepted Answer

This statement is true. In a skewed-left distribution, the tail of the distribution is longer on the left side, which pulls the mean towards the left and results in a smaller mean compared to the median. Conversely, in a skewed-right distribution, the tail of the distribution is longer on the right side, which pulls the mean towards the right and results in a larger mean compared to the median.

For Continuous Numerical Unimodal Data,the Mean Is Usually Less Than