Question

Which of the following statements is correct about the data set 2,4,6,8,10,12,14,16?

A. The data set has a median that is not in the data set
B. The data set has a mode that is not in the data set
C. The data set has an interquartile range of 9
D. The data set has the same median and mode

Answer 1

A. The data set has a median that is not in the data set

Explanation:

The given data is:

2,4,6,8,10,12,14,16

The median for the data set is:

(8+10)/2 = 9

The data set has no mode as no number is repeated in the data set.

The IQR is:

= [(12+14)/2-(4+6)/2)]

=[26/2 - 10/2]

=13-5

=8

By looking at the options, we can see that the correct answer is:

A. The data set has a median that is not in the data set

as 9 is not a member of the data set ..