Question

select the outlier in the data set. 9 68 70 73 76 82 86 96 if the outlier were removed from the data set, would the mean increase or decrease? increase decrease

Explanation:

Step1: Identify the outlier

The number 9 is much smaller than the other numbers in the set {9, 68, 70, 73, 76, 82, 86, 96}, so 9 is the outlier.

Step2: Analyze the effect on the mean

The mean of a data - set is the sum of all data points divided by the number of data points. The outlier 9 is a very small value. When it is removed, the sum of the remaining data points will be divided by a smaller number of data points, but the reduction in the sum is proportionally less significant than the reduction in the number of data points. So the mean will increase.

Answer:

1. 9
2. increase