What effect will the presence of the outlier in the data set below have on the mean of the data set?

{78, 99, 85, 92, 97, 90, 89, 27, 97, 72, 75, 83, 91, 96}

A. The outlier will make the mean significantly greater than it would have been without the outlier.

B. The outlier will make the mean significantly less than it would have been without the outlier.

C. The outlier will have no significant effect on the mean of the data set.

D. No outlier exists in this data set.

Question

Susie Q

Mathematics

20 July, 09:26

What effect will the presence of the outlier in the data set below have on the mean of the data set?

{78, 99, 85, 92, 97, 90, 89, 27, 97, 72, 75, 83, 91, 96}

A. The outlier will make the mean significantly greater than it would have been without the outlier.

B. The outlier will make the mean significantly less than it would have been without the outlier.

C. The outlier will have no significant effect on the mean of the data set.

D. No outlier exists in this data set.

+4

Answers (1)

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Micheal Yoder · Answer 1

The outlier clearly is the 27.

With it, the mean is 83,6; without it, it is greater: 88.

Is that a significant difference? I would say not, because there are values in the data set well below and above both averages.

Hence my answer would be C. If you think the difference is significant, the answer would obviously be A.