Question

The data set below has an outlier.

2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

Which value is changed the most by removing the outlier?

A: the range
B: the median
C: the lower quartile
D: the interquartile range

Answer 1

the value that changes the most is the range

Answer 2

2, 10, 10, 11, 11, 12, 12, 12, 13, 14, 14

range: 14 - 2 = 12
median: 12
lower quartile: 10
interquarile range: 14 - 10 = 4

10, 10, 11, 11, 12, 12, 12, 13, 14, 14
range: 14 - 10 = 4
median: 12
lower quartile: 10.5
interquartile range: 14 - 10.5 = 3.5


2 is the outlier.

the value that change is most is A. THE RANGE.
From 12, it became 4 when the outlier was removed from the data set.