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ICSE Class 10 Answered

Find the lower quartile, upper quartile and inter-quartile range for the data: 29, 12, 26, 19, 24, 36, 21, 33, 35
Asked by Topperlearning User | 07 Nov, 2017, 01:06: PM
answered-by-expert Expert Answer

Arranging data in ascending order, we get

12, 19, 21, 24, 26, 29, 33, 35, 36

 

Here, n = 9, which is an odd number.

Thus, Lower Quartile is given by

 

 

 

Upper Quartile is given by

begin mathsize 12px style straight Q subscript 3 equals open parentheses fraction numerator 3 open parentheses straight n plus 1 close parentheses over denominator 4 end fraction close parentheses to the power of th space term equals open parentheses 30 over 4 close parentheses to the power of th space term equals 7.5 to the power of th space term end style

 

Inter-quartile Range = Q3 - Q1 = 34 - 20 = 14

Answered by | 07 Nov, 2017, 03:06: PM

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