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Standard Deviation about Mean

The coefficie...

Question

The coefficient of quartile deviation is calculated by the formula :

A

\frac{Q_{1} + Q_{2}}{4}

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B

\frac{Q_{3} + Q_{1}}{4}

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C

\frac{Q_{3} - Q_{1}}{Q_{3} + Q_{1}}

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D

\frac{Q_{2} + Q_{1}}{Q_{2} - Q_{1}}

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Solution

The correct option is C $\frac{Q_{3} - Q_{1}}{Q_{3} + Q_{1}}$
A relative measure of dispersion based on the quartile deviation is called the coefficient of quartile deviation.
Coefficient of Quartile Deviation= $\frac{\frac{Q_{3} - Q_{1}}{2}}{\frac{Q_{3} + Q_{1}}{2}}$
= $\frac{Q_{3} - Q_{1}}{Q_{3} + Q_{1}}$

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