if median is 5 quartile deviation is 2.5 then the coefficient of quartile deviation is
Answers
Given : median is 5 quartile deviation is 2.5
To Find : coefficient of quartile deviation
Solution:
coefficient of quartile deviation = (Q₃ - Q₁)/(Q₃ + Q₁)
median is 5
quartile deviation is 2.5
=> Q₁ = Median - quartile deviation
=> Q₁ = 5 - 2.5
=> Q₁ = 2.5
=> Q₃ = Median - quartile deviation
=> Q₃= 5 + 2.5
=> Q₃ = 7.5
coefficient of quartile deviation = (Q₃ - Q₁)/(Q₃ + Q₁)
= ( 7.5 - 2.5) / ( 7.5 + 2.5)
= 5 /10
= 1/2
coefficient of quartile deviation is 1/2
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