Question

determine the shape of the distribution for each boxplot below.
a) data
mostly symmetric skewed - right skewed - left
b) data
mostly symmetric skewed - right skewed - left
c) data
mostly symmetric skewed - right skewed - left

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Explanation:

Step1: Recall box - plot shape rules

If the median is in the middle of the box and the whiskers are approximately equal in length, the distribution is mostly symmetric. If the right - hand whisker is longer than the left - hand whisker, the distribution is skewed right. If the left - hand whisker is longer than the right - hand whisker, the distribution is skewed left.

Step2: Analyze box - plot a

The median is in the middle of the box and the whiskers are of approximately equal length. So, it is mostly symmetric.

Step3: Analyze box - plot b

The right - hand whisker is longer than the left - hand whisker. So, it is skewed right.

Step4: Analyze box - plot c

The left - hand whisker is longer than the right - hand whisker. So, it is skewed left.

Answer:

a) Mostly symmetric
b) Skewed - right
c) Skewed - left