Central Tendency & DispersionMTP Nov 18Question 3048 of 473
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When the mean is 3.57 and mode is 2.13, then the value of median is ______.

Options

A3.09
B5.01
C5.01
DNone of these
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Correct Answer

✅ Option a — 3.09

All Options:

  • A3.09
  • B5.01
  • C5.01
  • DNone of these

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 values.** - Mean = 3.57, Mode = 2.13 2.13=3×Median−2×3.572.13 = 3 \times \text{Median} - 2 \times 3.57 2.13=3×Median−7.142.13 = 3 \times \text{Median} - 7.14 3×Median=2.13+7.14=9.273 \times \text{Median} = 2.13 + 7.14 = 9.27 Median=9.273=3.09\text{Median} = \frac{9.27}{3} = 3.09 Hence, **Option A** is the correct answer.

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