Question

A distribution has mean=8.7, median =8.5 and mode =7.3.The distribution is

• A. Positively skewed
• B. negatively skewed
• C. symmetrical
• D. none of these

Answer 1

The correct option is A Positively skewed

We know that for a distribution ,
(I) Mean = Median=Mode , then the skewness is 0 i.e. the shape of distribution is symmetric.
(ii) Mean > median>mode, the skewness is positive i.e. the distribution is skewed right.
(ii) Mean < median<mode , the skewness is negative i.e. the distribution is skewed left.
Here, we have
Mean =8.7, Median =8.5, mode =7.3
So the distribution is skewed right. and skewness is positive .