Of the mean, median, and mode, which measure of center is most affected by outliers? Explain your reasoning including an example with at least 10 data points write it like a 4th grader make it short

Answer 1

The mean is most affected by outliers because it depends on all the data points to calculate.

For example, let's say we have these 10 data points: 10, 11, 12, 13, 14, 15, 16, 17, 18, 90. The mean is (10+11+12+13+14+15+16+17+18+90) / 10 = 21.6. If we add an outlier like 200, the mean becomes (10+11+12+13+14+15+16+17+18+90+200) / 11 = 43.1. The mean changed a lot because of the outlier 200.

Answer 2

make it shorter 2 sentences

Answer 3

The mean is most affected by outliers because it includes all the data points in its calculation. For example, in the data set 10, 11, 12, 13, 14, 15, 16, 17, 18, 90, adding the outlier 200 greatly changes the mean from 21.6 to 43.1.