By A shooter missed his target in the last 10 trials
by the following distance (mm) during the practice session..
20,32,24,41,18,27, 15, 36, 35,25
Find the quartile deviation and coefficient of quartile
deviation of such distance missed by the shooter.
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Given : A shooter missed his target in the last 10 trials by the following distance (mm) during the practice session..
20,32,24,41,18,27, 15, 36, 35,25
To Find : quartile deviation and coefficient of quartile deviation
Solution
20,32,24,41,18,27, 15, 36, 35,25
arranging in Order
15 , 18 , 20 , 24 , 25 , 27 , 32 , 35 , 36 , 41
Q₁ = 20
Q₃ = 35
Q₂ = ( 25 + 27)/2 = 26
quartile deviation = (Q₃ - Q₁)/2
= ( 35 - 20)/2
= 15/2
= 7.5
coefficient of quartile deviation = (Q₃ - Q₁)/(Q₃ + Q₁)
= ( 35 - 20)/(35 + 20)
= 15/55
= 3/11
quartile deviation = 7.5
coefficient of quartile deviation = 3/11
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