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. make it very short and as a 4th grader would with grammar that's a little bad but not very bad

Question

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. make it very   short and as a 4th grader would with grammar that's a little bad but not very bad

GPT-4o mini · Answer

The measure of center most affected by outliers is the mean. This is because outliers are very big or very small numbers that can change the average a lot.

For example, let's say we have these numbers:
3, 4, 5, 6, 7, 8, 9, 10, 11, 100.

If we find the mean, we add them all up:
3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 100 = 163.
Then we divide by 10 (because there are 10 numbers):
163 ÷ 10 = 16.3.

But if we look at the median (the middle number), we put them in order:
3, 4, 5, 6, 7, 8, 9, 10, 11, 100.
The middle numbers are 7 and 8. So, the median is:
(7 + 8) ÷ 2 = 7.5.

The mode is the number that appears the most. Here, there is no repeating number, so we can't find a mode.

So, the mean is 16.3, but without that big 100, the mean would be much lower! The mean changes a lot with the outlier, but the median stays around the same. That’s why the mean is most affected!