Question

{29, 29, 29, 28, 28, 27}

What is the best measure of center for this data set?

A. mode because there is an outlier
B. mean because there is an outlier
C. median because there is an outlier
D. mean or median because there is no outlier

Answer 1

mean or median because there is no outlier

Answer 2

(D)

Explanation:

The given data set is:

{29, 29, 29, 28, 28, 27}

The outlier is the data point which differs highly from the rest of the data points, since in the given data there is no such data point, thus there is no outlier present in the given data.

Mode is the number which occurs frequently in the data set but it cannot help to determine the center of the data, thus Mode cannot be used.

Mean helps to determine the center of the given data set, thus Mean can be used.

Median is the middle value of the given set, thus median can also be used to determine the center of the given data set.

Mean=
`(29+29+29+28+28+27)/(6)=(170)/(6)=28.33=28`

and median=
`(29+28)/(2)=(57)/(2)=28.5`