Question

When the outliers are removed, how does the mean change?

A. The mean increases by 2.

B. The mean decreases by 2.

C. The mean remains the same.

D. There are no outliers.

Answer 1

can you find the mean and identify the outlier for the sample set?

Answer 2

23, 24,26, and 27?

Answer 3

the points are symmetrical about the mean so ......

Answer 4

actually numbers apart from what you have mentioned are the outliers i.e (35,15)
Now find the mean with and without outliers to get your answer

Answer 5

there is no need to calculate anything - just look at the distribution of the numbers on the line

Answer 6

Just look at it?

Answer 7

yes

Answer 8

look at the positions of the points either side of the number 25

Answer 9

There's two numbers and points on two sides, 25's in the middle

Answer 10

and how do the distances of these numbers compare on aither side of the 25?

Answer 11

do you see a symmetry ?

Answer 12

there are 3 numbers each side

Answer 13

24 and 26 are 1 unit either side of 25
23 and 27 are 2 units either side of 15
15 and 35 are 10 units either side of 25

Answer 14

so 25 is the mean of all those numbers

Answer 15

But don't you have to remove the outliers?

Answer 16

yes but if you remove the outliers does the mean change?
is the 25 still the middle number?

Answer 17

the other numbers are still symmetrical about 25

Answer 18

Yeah it's still in the middle then so then the mean doesn't change

Answer 19

right