If Mean (X) is = 10 and mode (Z) is = 7, then find out the value of median (M).

Option a: 9. Solution: Step 1: Apply the empirical formula. text{Mode} = 3 x text{Median} - 2 x text{Mean} Step 2: Substitute values. - Mode (Z) = 7, Mean (X) = 10 7 = 3M - 2(10) = 3M - 20 3M = 27 M = 9 Hence, Option A is the correct answer.

Central Tendency & DispersionPYQ Dec 22Question 3034 of 473

All Questions

If Mean ( $\displaystyle X$ ) is = 10 and mode ( $\displaystyle Z$ ) is = 7, then find out the value of median ( $\displaystyle M$ ).

Options

B17

D4.33

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Correct Answer

✅ Option a — 9

All Options:

A9
B17
C3
D4.33

Detailed Solution & Explanation

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

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

**Step 2: Substitute values.** - Mode (Z) = 7, Mean (X) = 10

7 = 3M - 2(10) = 3M - 20

3M = 27

M = 9

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

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If Mean (X\displaystyle XX) is = 10 and mode (Z\displaystyle ZZ) is = 7, then find out the value of median (M\displaystyle MM).