State the type of skewness for a frequency distribution whose three quartiles are 21, 18 and 20.

Left skew

Explanation:

Given the quartiles of a distribution :

21, 18 and 20

Lower quartile, Q1 = 18

Median, Q2 = 20

Upper quartile, Q3 = 21

Representing the quartiles of the distribution as box plot, we can see that the median, Q2 is much closer to the third quartile, Q3, Than it is to the first quartile, Q1. Hence, we have a left skew or a negatively skewed distribution.

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