The quartiles of a variable are 45, 52 and 75 respectively. Its quartile deviation is

Option a: 15. Solution: We are given the quartiles of a variable: - First quartile (Q1) = 45 - Second quartile (Median, Q2) = 52 - Third quartile (Q3) = 75 The quartile deviation (Q.D.) is calculated as: text{Q.D.} = Q3 - Q1/2 = 75 - 45/2 = 30/2 = 15 Hence, Option A is the correct answer.

The quartiles of a variable are $45$, $52$ and $75$ respectively. Its quartile deviation is

The correct answer is Option a: $15$. We are given the quartiles of a variable: - First quartile ($Q_1$) = $45$ - Second quartile (Median, $Q_2$) = $52$ - Third quartile ($Q_3$) = $75$ The quartile deviation (Q.D.) is calculated as: $$\text{Q.D.} = \frac{Q_3 - Q_1}{2} = \frac{75 - 45}{2} = \frac{30}{2} = 15$$ Hence, **Option A** is the correct answer.

Central Tendency & DispersionMTP May 20Question 3238 of 473

All Questions

The quartiles of a variable are $\displaystyle 45$ , $\displaystyle 52$ and $\displaystyle 75$ respectively. Its quartile deviation is

Options

\displaystyle 15

\displaystyle 20

\displaystyle 25

\displaystyle 8.30

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Correct Answer

✅ Option a — $\displaystyle 15$

All Options:

A $\displaystyle 15$
B $\displaystyle 20$
C $\displaystyle 25$
D $\displaystyle 8.30$

Detailed Solution & Explanation

We are given the quartiles of a variable: - First quartile (

\displaystyle Q_1

) =

\displaystyle 45

- Second quartile (Median,

\displaystyle Q_2

) =

\displaystyle 52

- Third quartile (

\displaystyle Q_3

) =

\displaystyle 75

The quartile deviation (Q.D.) is calculated as:

\text{Q.D.} = \frac{Q_3 - Q_1}{2} = \frac{75 - 45}{2} = \frac{30}{2} = 15

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

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The quartiles of a variable are 45\displaystyle 4545, 52\displaystyle 5252 and 75\displaystyle 7575 respectively. Its quartile deviation is