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What is the interquartile range of this data set?

1, 5, 27, 29, 34, 46, 48, 61, 64, 84, 96

A. 46

B. 37

C. 19

D. 73

Answer :

The interquartile range is found by subtracting the 1st quartile from the third quartile.

Median: 46

First Quartile: 27
Third Quartile: 64
Interquartile Range: 37(64 - 27)

Answer: B) 37

The interquartile range of the given data is adequate 37 which is option B.

What is interquartile range?

The interquartile range tells you the spread of the center 1/2 your distribution. The interquartile range contains the second and third quartiles, or the center 1/2 your data set. it's capable the difference between third quartile and first quartile.

How to calculate interquartile range?

We have been given the subsequent data:

1,5,27,29,34,46,48,61,64,84,96.

We know that interquartile range is adequate the difference between third quartile and first quartile.

First quartile=(n+1)/4 th term

Total numbers=11

First quartile=(11+1)/4

=12/4

=3 rd term which is 27.

Third quartile=3(n+1)/4th term

=3(11+1)/4 th term

=3*3

=9th term which is 64.

Interquartile range=Third quartile-first quartile

=64-27

=37

Hence the interquartile range of the info is 37.

Learn more about interquartile range at https://brainly.com/question/447161

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