Question

The distribution of salaries of professional basketball players is skewed to the right. Which measure of central tendency would be the best measure to determine the location of the center of the distribution?

A) mode
B) mean
C) frequency
D).median Frequency distributions that are skewed to the right, what is the relationship of the mean and median?

Answer 1

Median

mean>median

Explanation:

When the data is skewed to right the suitable average is median. Median is suitable because it is less effected by extreme values and thus locate the center of the distribution perfectly. Here the salaries of basket players are skewed to right and the best measure of central tendency to measure the center of distribution is median.

When the frequency distribution is rightly skewed then the relationship of mean and median is that mean is greater than median that is Mean>median.

Hence when the distribution is skewed to right the best choice to measure the center of distribution is median and when the data is skewed to right mean is greater than median.