Question

Consider the two box plots below.

Which of the following statements is true?
A. The median of box plot A is greater than the median of box plot B.

B. Both the box plots A and B have the same median.

C. The interquartile range of box plot A is greater than the interquartile range of box plot B.

D. The median of box plot B is greater than the median of box plot A.

Answer 1

the answer is D: the median of box plot B is greater than the median of box plot A.

Explanation:

Answer 2

Answer: D. The median of box plot B is greater than the median of box plot A.

Explanation:

We know that in a box-whisker plot, the vertical present in the box represents the median value of data and the length of box along the number line represents the interquartile range.

In the given picture, it can be seen that the box B is longer than box A.

It mean that the interquartile range of box plot B is greater than the interquartile range of box plot A.

Also, the vertical line in box A is present between 15 and 20 on number line but in box B it is present between 25 and 30.

It means that the median of box plot B is greater than the median of box plot A.