Question

What happens to the mean, median and mode for the data shown if the outlier is eliminated?

14 , 15 , 22 , 15 , 2 , 16 , 17 , 13

Answer 1

2, 13, 14, 15, 15, 16, 17, 22
Let's try it and find out. What is the mean?

Answer 2

14.25??

Answer 3

That's what I got. What is the median?

Answer 4

15

Answer 5

Yes. And the mode?

Answer 6

15

Answer 7

Yes. Now:
13, 14, 15, 15, 16, 17, 22
What is the mean now?

Answer 8

16

Answer 9

Yes. And it was 14.25 so what happened to it?

Answer 10

it changed

Answer 11

Did it go up or down?

Answer 12

up from 14.25 to 16

Answer 13

How much did it go up?

Answer 14

1.75

Answer 15

So the answer to the question, "What happens to the mean when the outlier is removed?" is The mean increases 1.75

Answer 16

What is the median now?

Answer 17

15

Answer 18

Wat is the mode now?

Answer 19

15

Answer 20

So would you agree that we could say, "The median and mode stay the same but the mean increases 1.75."?

Answer 21

yes

Answer 22

Good job.

Answer 23

Thank you!!!!!!!!!!

Answer 24

yw