The box and whisker plot represents the number of telemarketing calls received by households last month. Which statements are correct?

A)

The mean of the data is 49.

B)

The median of the data is 49.

The least number of calls is 35.

D)

The third quartile is represented by 42.

E)

The mean cannot be determined by the box and whisker plot.

Given:

Consider the below figure attached with this question.

To find:

The correct statements about the given box and whisker plot.

Solution:

In a box plot, the left end of the box is first quartile and the right end of the box is third quartile. The line inside the box represents the median.

Left end point represents the minimum value and the right end point represents the maximum value.

From the given box plot, it is clear that

Minimum value = 35

First quartile = 42

Median = 49

Third quartile = 54

Maximum value = 57

The median of the data is 49. The least number of calls is 35. So, options B and C are correct.

The third quartile is represented by 54. So, option D is incorrect.

The mean cannot be determined by the box and whisker plot. So, option E is correct and option A is incorrect.

Therefore, the correct options are B, C and E.