Central Tendency & DispersionMTP Dec 23 Series IIQuestion 3065 of 473

The mode of data is $\displaystyle 18$ and mean is $\displaystyle 24$ , then median is

Options

A

\displaystyle 18

B

\displaystyle 24

C

\displaystyle 22

D

\displaystyle 21

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Correct Answer

✅ Option c — $\displaystyle 22$

All Options:

A $\displaystyle 18$
B $\displaystyle 24$
C $\displaystyle 22$
D $\displaystyle 21$

Detailed Solution & Explanation

**Step 1: Apply the empirical formula.**

\text{Mode} = 3\text{Median} - 2\text{Mean}

**Step 2: Substitute values.** - Mode = 18, Mean = 24

18 = 3\text{Median} - 48

3\text{Median} = 66

\text{Median} = 22

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

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