Question

select the outlier in the data set. 932 615 580 809 748 762 787 6128 769 778 717 711 827 659 757 904 792 867 756 579 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 given data set, most of the values are in the range of 500 - 900. The value 6128 is much larger than the rest of the values, so it 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 6128 is a very large value. When we calculate the mean with this outlier, it pulls the mean upwards. When we remove this outlier, the sum of the remaining data - points will be smaller, and since the number of data - points also decreases by 1, but the reduction in the sum is more significant. So the mean will decrease.

Answer:

The outlier is 6128.
decrease