Question

Compare the box plots for two data sets.

Which statement is true?

-

Set A

Set A

TI

Set B

20

22

24 26 28

30

32 34

36

38 40

The range for Set B is greater than the range for

Set A

The median for Set A is greater than the median

for Set B.

The ranges for both sets are equal

The medians for both sets are equal.

Answer 1

The median for Set A is greater than the median

for Set B.

Explanation:

From the boxplot attached, we can deduce the following :

Median (vertical line in between the box on a boxplot).

Median, set A = 30

Median, set B = 29

Range = (Maximum - Minimum. Value)

Set A :

Maximum = 35 ; Minimum = 21

Range = 35 - 21 = 14

Set B :

Maximum = 37 ; Minimum = 24

Range = 37 - 34 = 3

Hence, from the options, the only correct statement is The median for Set A is greater than the median for Set B.