Central Tendency & DispersionPYQ Nov 18Question 3026 of 473
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If in a moderately skewed distribution, the values of mode and mean are 32.1\displaystyle 32.1 and 35.4\displaystyle 35.4 respectively, then the value of the median is

Options

A34.3
B33.3
C34
D33
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Correct Answer

✅ Option a — 34.3

All Options:

  • A34.3
  • B33.3
  • C34
  • D33

Detailed Solution & Explanation

**Step 1: Apply the empirical formula.** Mode=3×Median−2×Mean\text{Mode} = 3 \times \text{Median} - 2 \times \text{Mean} **Step 2: Substitute known values.** - Mode = 32.1 - Mean = 35.4 32.1=3×Median−2×35.432.1 = 3 \times \text{Median} - 2 \times 35.4 32.1=3×Median−70.832.1 = 3 \times \text{Median} - 70.8 3×Median=32.1+70.8=102.93 \times \text{Median} = 32.1 + 70.8 = 102.9 Median=102.93=34.3\text{Median} = \frac{102.9}{3} = 34.3 Hence, **Option A** is the correct answer.

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