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 > next question

Explanation:

Step1: Recall box - plot shape rules

If the median is in the middle of the box and the whiskers are approximately the same 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 closer to the left side of the box and the right - hand whisker is longer. So it is skewed right.

Step3: Analyze box - plot b

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

Step4: Analyze box - plot c

The median is closer to the right side of the box and the left - hand whisker is longer. So it is skewed left.

Answer:

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