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Provide step by step calculation and interpretation of the values of range and interquartile range for...

Provide step by step calculation and interpretation of the values of range and interquartile range for the following subsample of respondents’ age in years:

24, 27, 35, 31, 21, 22, 28, 18, 25, 24, 36, 20.

Math   Statistics-And-Probability   
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Answer #1

Solution:- Given that samples 24,27,35,31,21,22,28,18,25,24,36,20.

Range : 18

Explanation

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

18 20 21 22 24 24 25 27 28 31 35 36   

The lowest value is 18.

The highest value is 36.

The range = 36 - 18 = 18.

=> interquartile range = 8

Explanation

The interquartile range is the difference between the third and first quartiles.

The third quartile is 29.5.

The first quartile is 21.5.

The interquartile range = 29.5 - 21.5 = 8.

  

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