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select the outlier in the data set. 30 82 89 95 97 78 77 74 86 84 76 80…

Question

select the outlier in the data set. 30 82 89 95 97 78 77 74 86 84 76 80 87 69 56 96 if the outlier were removed from the data set, would the mean increase or decrease? increase decrease

Explanation:

Step1: Identify the outlier

The data set values mostly range from 50 - 90. The value 30 is much lower than the rest of the data points, so 30 is the outlier.

Step2: Analyze the effect on the mean

The mean is the sum of all data - points divided by the number of data - points. The outlier 30 is a low value. When we remove a low value from the data set, the sum of the remaining data - points will be higher relative to the number of remaining data - points. So the mean will increase.

Answer:

30
increase