Central Tendency & DispersionPYQ Dec 23Question 3040 of 473

If mode of a grouped data is 10 and median is 6, then what is the value of mean?

Options

A2

B4

C6

D8

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Correct Answer

✅ Option b — 4

All Options:

A2
B4
C6
D8

Detailed Solution & Explanation

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

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

**Step 2: Substitute known values.** - Mode = 10, Median = 6

10 = 3(6) - 2 \times \text{Mean}

10 = 18 - 2 \times \text{Mean}

2 \times \text{Mean} = 18 - 10 = 8

\text{Mean} = 4

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

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