If the SD of a variable X is sigma then Quartile Deviation (QD) is

Option c: 2/3 sigma. Solution: For a normal distribution, the Quartile Deviation (Q.D.) is related to the standard deviation (sigma) by the approximation: text{Q.D.} approx 0.675 sigma approx 2/3 sigma Hence, Option C is the correct answer.

If the SD of a variable $X$ is $\sigma$ then Quartile Deviation (QD) is

The correct answer is Option c: $\frac{2}{3} \sigma$. For a normal distribution, the Quartile Deviation (Q.D.) is related to the standard deviation ($\sigma$) by the approximation: $$\text{Q.D.} \approx 0.675 \sigma \approx \frac{2}{3} \sigma$$ Hence, **Option C** is the correct answer.

Central Tendency & DispersionMTP Nov 18Question 3249 of 473

All Questions

If the SD of a variable $\displaystyle X$ is $\displaystyle \sigma$ then Quartile Deviation (QD) is

Options

\displaystyle \frac{4}{5} \sigma

\displaystyle \frac{3}{2} \sigma

\displaystyle \frac{2}{3} \sigma

\displaystyle \frac{5}{4} \sigma

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Correct Answer

✅ Option c — $\displaystyle \frac{2}{3} \sigma$

All Options:

A $\displaystyle \frac{4}{5} \sigma$
B $\displaystyle \frac{3}{2} \sigma$
C $\displaystyle \frac{2}{3} \sigma$
D $\displaystyle \frac{5}{4} \sigma$

Detailed Solution & Explanation

For a normal distribution, the Quartile Deviation (Q.D.) is related to the standard deviation (

\displaystyle \sigma

) by the approximation:

\text{Q.D.} \approx 0.675 \sigma \approx \frac{2}{3} \sigma

Hence, **Option C** is the correct answer.

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If the SD of a variable X\displaystyle XX is σ\displaystyle \sigmaσ then Quartile Deviation (QD) is