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Question

# Find the inter quartile range for the data: 9,11,15,19,17,13,7.

A
7
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B
6
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C
8
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D
None of the above
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Solution

## The correct option is C 8Interquartlie is the difference between upper quartile and lower quartile.Lower quartile is the median of the lower half of the data set.Upper quartile is the median of the upper half of the data set.Given data set is 9,11,15,19,17,13,7Arranging the data set in ascending order we get 7,9,11,13,15,17,19Number of values in the data set is n=7Lower quartile is given by Q1=n+14=7+14=84=2ndvalueTherefore, the lower quartile is Q1=9Upper quartile is given by Q3=34(n+1)=34(7+1)=34(8)=6thvalueTherefore, the upper quartile is Q3=17Therefore, the inter quartile is given by Q3−Q1=17−9=8

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