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Coefficient of quartile deviation is 1/4 then Q3 / Q1 is?
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Coefficient of quartile deviation is 1/4 then Q3 / Q1 is?
Calculation of Q3 / Q1 when Coefficient of quartile deviation is 1/4
- Given: Coefficient of quartile deviation = 1/4
- Formula for Quartile Deviation:
Quartile Deviation = (Q3 - Q1) / (Q3 + Q1)
- Given Coefficient of quartile deviation = 1/4:
1/4 = (Q3 - Q1) / (Q3 + Q1)
- Solving for Q3 / Q1:
Cross multiplying, we get:
4(Q3 - Q1) = Q3 + Q1
4Q3 - 4Q1 = Q3 + Q1
4Q3 - Q3 = 4Q1 + Q1
3Q3 = 5Q1
Q3 / Q1 = 5/3
- Conclusion:
When the coefficient of quartile deviation is 1/4, the ratio of Q3 to Q1 is 5/3.
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Coefficient of quartile deviation is 1/4 then Q3 / Q1 is?
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