Question

What is the effect of removing the outlier 11 from the following data set? (1 point)

{11, 85, 87, 88, 91, 91, 92, 93, 95}

A The mean would increase.
B The median would decrease.
C The interquartile range would increase.
D The median of the lower quartile would stay the same.

Answer 1

A The mean would increase.

Step-by-step Step-by-step explanation:

mean = sum of numbers ÷ how many numbers there are

the mean with the outlier 11:

(11 + 85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 9 = 81.4

the mean when removing the outlier 11:

(85 + 87 + 88 + 91 + 91 + 92 + 93 + 95) ÷ 8 = 90.25

the mean has now increased