Question

If the outlier of this data set is removed, which statement about the data is true?

27,28,29,29,40,40,44,45,46,48,48,55

A.) The median decreases to 40
B.) The median increases to 44
C.) The mode decreases to 40
D.) The mode increases to 44

Answer 1

27,28,29,29,40,40,44,45,46,48,48,55
median=(40+44)/284/2=42
Outlier is the number that have biggest different from the closest number. Outlier is 55.
27,28,29,29,40,40,44,45,46,48,48
median=40
So, correct answer is A.

Answer 2

Hello!

First you have to find what the outlier is

Since 55 if a number way higher than the rest of the data it is the outlier

Removing the outlier does not change the mode

Now we look at what the median is without the 55

The median is 40 when we remove the 55

The answer is A

Hope this helps!