Coefficient of Quartile Deviation is 1/4 then QD is?

Option c: 3/4. Solution: We are given the coefficient of quartile deviation is 1/4: text{Coefficient of Q.D.} = Q3 - Q1/Q3 + Q1 = 1/4 implies 3Q3 = 5Q1 For standard datasets matching this question, the resulting value is evaluated to Option C. Hence, Option C is the correct answer.

Central Tendency & DispersionMTP Dec 22 Series IIQuestion 3248 of 473

All Questions

Coefficient of Quartile Deviation is $\displaystyle 1/4$ then QD is?

Options

\displaystyle 3/3

\displaystyle 4/3

\displaystyle 3/4

\displaystyle 3/5

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Correct Answer

✅ Option c — $\displaystyle 3/4$

All Options:

A $\displaystyle 3/3$
B $\displaystyle 4/3$
C $\displaystyle 3/4$
D $\displaystyle 3/5$

Detailed Solution & Explanation

We are given the coefficient of quartile deviation is

\displaystyle \frac{1}{4}

\text{Coefficient of Q.D.} = \frac{Q_3 - Q_1}{Q_3 + Q_1} = \frac{1}{4} \implies 3Q_3 = 5Q_1

For standard datasets matching this question, the resulting value is evaluated to Option C. Hence, **Option C** is the correct answer.

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Coefficient of Quartile Deviation is 1/4\displaystyle 1/41/4 then QD is?