For a distribution, the sum of lower and upper qualities is 50 and their difference is 10.
Find the coefficient of Q.D.
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Given :- For a distribution, the sum of lower and upper quartiles is 50 and their difference is 10.
To Find :- Find the coefficient of Q.D. ?
Solution :-
we know that,
- Lower quartiles = Q1
- Upper quartiles = Q3
- Coefficient of quartile deviation = Difference between upper quartile and lower quartile / sum of upper quartile and lower quartile = (Q3 - Q1)/(Q3 + Q1) .
given that,
→ Q3 + Q1 = 50
→ Q3 - Q1 = 10 .
then,
→ coefficient of Q.D = (Q3 - Q1)/(Q3 + Q1)
→ coefficient of Q.D = 10 / 50
→ coefficient of Q.D = 1/5
→ coefficient of Q.D = 0.2 (Ans.)
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