Central Tendency & DispersionMTP June 24 Series IQuestion 3067 of 473
All Questions

If the difference between mean and mode is 69\displaystyle 69, then the difference between Mean and Median will be _______.

Options

A63\displaystyle 63
B31.5\displaystyle 31.5
C23\displaystyle 23
DNone of these
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Correct Answer

✅ Option c — 23\displaystyle 23

All Options:

  • A63\displaystyle 63
  • B31.5\displaystyle 31.5
  • C23\displaystyle 23
  • DNone of these

Detailed Solution & Explanation

**Step 1: Apply the empirical formula.** Mean−Mode=3(Mean−Median)\text{Mean} - \text{Mode} = 3(\text{Mean} - \text{Median}) **Step 2: Substitute given value.** - Mean - Mode = 69 69=3(Mean−Median)69 = 3(\text{Mean} - \text{Median}) Mean−Median=693=23\text{Mean} - \text{Median} = \frac{69}{3} = 23 Hence, **Option C** is the correct answer.

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