Question

select the outlier in the data set. 60 84 15 95 91 88 93 78 98 86 if the outlier were removed from the data set, would the mean increase or decrease? increase decrease

Explanation:

Step1: Identify the outlier

An outlier is a data - point that is significantly different from other data - points. In the set {60, 84, 15, 95, 91, 88, 93, 78, 98, 86}, 15 is much smaller than the other values. So the outlier is 15.

Step2: Analyze the effect on the mean

The mean of a data - set is $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. The outlier 15 is a very small value. When it is removed, the sum of the remaining data - points will be larger relative to the number of data - points. So the mean will increase.

Answer:

The outlier is 15.
increase