Question

Help...

Answer 1

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


The mean decreases by 2.75.

The mean increases by 2.75.

The mean increases by 3.25.

There are no outliers.

Answer 2

what are the outliers?

Answer 3

I guess ur supposed to figure if it does then what is it or if it doesnt

Answer 4

Well to figure out an outlier...we need to find out the IQR

Median = 44
Q1 = 38
Q3 = 45
IQR = Q3 - Q1 = 7

An outlier is any number that is more than \(\large Q_3 + 1.5 \times IQR\) or less than \(\large Q_1 - 1.5 \times IQR\)

So any number that is above \(\large 45 + (1.5 \times 7) = 55.5\) or below \(\large 38 - (1.5 \times 7) = 27.5\)

It looks like we have 1 number that satisfies that data...which would be 18

Answer 5

Now if we were to remove that 18...how would the mean change?

The mean before would be \(\large 18 + 38 + 38 + 40 + 44 + 44 + 44 + 46 + 48 = 40\)

The mean after removing that 18 would be \(\large 38 + 38 + 40 + 44 + 44 + 44 + 46 + 48 = 42.75\)

So the mean would increase by 2.75 by removing that outlier

Answer 6

Thank You @johnweldon1993

Answer 7

No problem :)