Of the three data measurements, which of them are "greatly" affected by outliers? For example, consider the data

{0, 5, 7, 9, 3, 5, 2, 4, 5}

and now imagine you take the same data and you add 52 to the set:

{0, 5, 7, 9, 3, 5, 2, 4, 5, 52}

Which of the three measurements changes by the biggest percent? What does this tell you when considering data that contains outliers?

This is my answer so far...

The original data set-

1. put the data in numerical order (0,2,3,4,5,5,5,7,9)
2. mode-5
3. mean 4.44
4. median - 5

The second set - ( 0,2,3,4,5,5,5,7,9,52)

1. put the data into numerical order
2. mode-5
3. mean-9.2
4. median is 5

The biggest measurement change is mean and that was over a 200 % increase

It is slightly more than twice the difference from the original set to the second set.

Can you explain the outlierspart . Thank you in advance