Question
Download Solution PDFIf the mean deviation of a set of observations is 15, then the value of quartile deviation is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe mean deviation of a set of observations (MD) is 15.
MD = \({4 \over 5} σ\) , where \(σ\) is the standard deviation
Or, \(σ = {4 \over 5} \times MD\) ______ (1)
The value of quartile deviation (QD) = \({2 \over 3} σ\) ________ (2)
Combining (1) and (2), QD \(= {2 \over 3} \times {5 \over 4} \times 15\), as MD = 15
Or, QD = 12.5
Hence, the value of the quartile deviation is 12.5.
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