select the outlier in the data set. 8 95 77 87 80 97 70 76 if the outlier were removed from the data set…

select the outlier in the data set. 8 95 77 87 80 97 70 76 if the outlier were removed from the data set, would the mean increase or decrease? increase decrease

select the outlier in the data set. 8 95 77 87 80 97 70 76 if the outlier were removed from the data set, would the mean increase or decrease? increase decrease

Answer

Explanation:

Step1: Identify the outlier

The number 8 is much smaller than the other values in the set {8, 95, 77, 87, 80, 97, 70, 76}, so 8 is the outlier.

Step2: Analyze the effect on the mean

The mean is the sum of all values divided by the number of values. The outlier 8 is a very small value. When it is removed, the sum of the remaining values will be less affected by this small - value, and the mean of the remaining values will be larger. So the mean will increase.

Answer:

The outlier is 8. increase