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Question

Find the inter quartile range, quartile deviation and coefficient of quartile deviation from the following data:

Marks28182024273015

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Solution

First arrange the data in ascending order:

S.NoMarks115218320424527628730N=7

Q1= Size of (N+14)th item = Size of (7+14)th item

= Size of 2nd item = 18 marks

Q3= Size of 3(N+14)th item = Size of 3(7+14)th item.

= Size of 6th item = 28 marks.

Inter Quartile Range =Q3Q1=2818=10

Quartile Deviation =Q3Q12=28182=5

Coefficient of Quartile Deviation =Q3Q1Q3+Q1=281828+18=1046=0.217


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