Question

select the outlier in the data set. 39 67 96 29 768 76 74 63 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 the other data - points. In the set {39, 67, 96, 29, 768, 76, 74, 63}, 768 is much larger than the other values.

Step2: Analyze the effect on the mean

The mean of a data set is $\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Since the outlier 768 is a very large value, it is pulling the mean upwards. When it is removed, the sum of the data - points will decrease by a large amount and the number of data - points will decrease by 1. The new mean will be smaller as the high - value outlier is no longer considered.

Answer:

768
decrease