Question

Which of the following box plots best represents the set of data below?23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47A. Box plot BB. Box plot CC. Box plot DD. Box plot A

Answer 1

Minimum value of the data = 20, Maximum value of the data = 66, Median = 45, First quartile = 36, Third quartile = 59.

Explanation:

The given data set is

23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47

Arrange the data in ascending order.

20, 23, 32, 36, 41, 43, 44, 45, 47, 54, 55, 59, 61, 63, 66

Minimum value of the data = 20

Maximum value of the data = 66

Divide the data in two equal parts.

(20, 23, 32, 36, 41, 43, 44,) 45,( 47, 54, 55, 59, 61, 63, 66)

Median = 45

Divide each parenthesis in two equal parts.

(20, 23, 32,) 36,( 41, 43, 44,) 45,( 47, 54, 55,) 59,( 61, 63, 66)

First quartile = 36

Third quartile = 59

The box plot of the data is shown below.

Answer 2

From the data given, the boxplot will be given by the figure shown:
23, 32, 20, 43, 41, 66, 63, 59, 54, 36, 45, 61, 55, 44, 47
summary of the data will be:
1st quartile=20
Median=45
Mean=45.93
3rd quartile=57