Answer to Question #256927 in Statistics and Probability for HelloWorld

Question

The distribution of exam scores (ranging from 0 - 100%) where the mean score is 75%, the standard deviation is 12%, and the median is 78% is most likely

left skewed

right skewed

symmetric

uniform

?

Answer 1

Skewed right distribution by definition is "one in which the tail is on the right side".Or on simple words when we have the following property: $mode<median<mean.$

A skewed left distribution by definition is "one in which the tail is on the left side". Or on simple words when we have the following property: $mode>median>mean.$

For this case we can see that $mean<median.$

So on this case the best description for this distribution is right skewed.