Central Tendency & DispersionMTP Dec 22 Series IQuestion 3063 of 473
All Questions

If the mode of a data is 18\displaystyle 18 and mean is 24\displaystyle 24, then median is

Options

A18\displaystyle 18
B24\displaystyle 24
C22\displaystyle 22
D21\displaystyle 21
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Correct Answer

✅ Option c — 22\displaystyle 22

All Options:

  • A18\displaystyle 18
  • B24\displaystyle 24
  • C22\displaystyle 22
  • D21\displaystyle 21

Detailed Solution & Explanation

**Step 1: Apply the empirical formula.** Mode=3Median−2Mean\text{Mode} = 3\text{Median} - 2\text{Mean} **Step 2: Substitute values.** - Mode = 18, Mean = 24 18=3Median−2(24)18 = 3\text{Median} - 2(24) 18=3Median−4818 = 3\text{Median} - 48 3Median=663\text{Median} = 66 Median=22\text{Median} = 22 The Median = 22\displaystyle 22 = **Option C**. Note: The exam key says A (18\displaystyle 18), but the formula gives Median = 22\displaystyle 22 (Option C). Hence, **Option C** is the correct answer.

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