Question

Which measure remain the same if 102 is removed from the data set below

{19,20,23,23,25,28,32,33,33,102}

Answer 1

interquartile range.

Explanation:

The given data set is

{19,20,23,23,25,28,32,33,33,102}

The median is 28

The mean is 33.7

The range is 83

The first quartile is 23

The third quartile is 33.

The interquartile range is 33-23=10.

When 102 is removed from the data set, we have

{19,20,23,23,25,28,32,33,33}

The median is 26.5

The mean is 26.9

The range is 14

The first quartile is 23

The third quartile is 33.

The interquartile range is 33-23=10.

The interquartile range is not affected.