Question

For a positively skewed distribution with a mean of m = 20, what is the most probable value for the median?

Answer 1

Solution: For a positively skewed distribution with a mean of m=20, the most probable value for the median is less than 20.

Explanation:

We know that in a symmetric distribution, the relationship between mean, median and mode is:

$Mean =Median =Mode$

In case of negatively skewed distribution, the relationship between mean,median and mode is:

$Mean<Median <Mode$

In case of positively skewed distribution, the relationship between mean,median and mode is:

$Mean>Median >Mode$

Therefore, for a positively skewed distribution with a mean of m = 20, the median would be less than Mean. Hence the probable value of median is less than 20