Question

Sora was given two data sets, one without an outlier and one with an outlier.

Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 41

How is the mean affected by an outlier?
The outlier did not affect the mean at all.
The outlier made the mean higher than all the other values.
The outlier made the mean lower than all the other values.
The mean is centered around all the other numbers in both sets of data.

Answer 1

The outlier made the mean lower than all the other values.

Explanation:

Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Mean of numbers without the outlier = (108 + 113 +105 + 118 + 124 + 121 +109) / 7 = 114

Mean of numbers with the outlier = (108 + 113 +105 + 118 + 124 + 121 +109 + 41) / 8 = 104.9

the mean with the outlier is lower than any of the numbers