Question

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

{101, 2, 108, 104, 102, 107, 109, 102}

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

C. Median as median do not factor in outliers

Mode is not a measure of centre
Mean is dramatically changed with the outlier (2)

Answer 2

(C)

Explanation:

The given data set is:

{101, 2, 108, 104, 102, 107, 109, 102}

since, an outlier is the data point which differs frequently from the other data points, thus in the given data set, only 2 is the data point which differs frequently from the other data points.

Thus, 2 is an outlier.

Mean in this cannot be used because there is an outlier and it will change with outlier.

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

Therefore, option C is correct.