Central Tendency & DispersionMTP Apr 21Question 3056 of 473
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When mean is 3.57 and mode is 2.13 then the value of the median is

Options

A3.09
B5.01
C4.01
DNone of these
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Correct Answer

✅ Option a — 3.09

All Options:

  • A3.09
  • B5.01
  • C4.01
  • DNone of these

Detailed Solution & Explanation

**Step 1: Apply the empirical formula.** Mode=3Median−2Mean\text{Mode} = 3\text{Median} - 2\text{Mean} **Step 2: Substitute values.** - Mean = 3.57, Mode = 2.13 2.13=3Median−2×3.572.13 = 3\text{Median} - 2 \times 3.57 2.13=3Median−7.142.13 = 3\text{Median} - 7.14 3Median=9.273\text{Median} = 9.27 Median=3.09\text{Median} = 3.09 This matches **Option A** (3.09\displaystyle 3.09). Note: The exam key says B (5.01\displaystyle 5.01), but the calculation gives 3.09\displaystyle 3.09 (Option A). Hence, **Option A** is the correct answer.

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