Web Analytics

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

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

AMode because there is an outlier

BMean because there is an outlier

CMedian because there is an outlier

DMean or median because there is no outlier

Verified Answer :

CMedian as median do not factor in outliers

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

Answer:

(C)

Step-by-step 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.