define measures of central tendency name 3 and give their re

define measures of central tendency. name 3 and give their relation to one another according to skewness.

Solution

Three measures of central tendency are:

Mode, Median and Mean

For a right (positively) skewed distribution, measures of central tendency follow following order (highest to lowest):

Mean, median and mode

If the distribution if right skewed , the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (assuming that the distribution has only one mode).

And for left (negatively) skewed distributions, the mean will be the lowest and the mode will be the highest. The order between the measures in negatively skewed distribution will be as follows (highest to lowest):

Mode, median and mean