Central Tendency & DispersionMTP June 24 Series IIQuestion 3068 of 473
All Questions

Which of the following result hold for a set of distinct positive observations?

Options

AA.M. >\displaystyle > G.M. >\displaystyle > H.M.
BG.M. >\displaystyle > A.M. >\displaystyle > H.M.
CG.M. >\displaystyle > H.M. >\displaystyle > A.M.
DG.M. >\displaystyle > A.M. >\displaystyle > H.M.
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Correct Answer

✅ Option a — A.M. >\displaystyle > G.M. >\displaystyle > H.M.

All Options:

  • AA.M. >\displaystyle > G.M. >\displaystyle > H.M.
  • BG.M. >\displaystyle > A.M. >\displaystyle > H.M.
  • CG.M. >\displaystyle > H.M. >\displaystyle > A.M.
  • DG.M. >\displaystyle > A.M. >\displaystyle > H.M.

Detailed Solution & Explanation

**Step 1: Recall the inequality of means.** For a set of distinct positive numbers: AM>GM>HM\text{AM} > \text{GM} > \text{HM} (Equality holds only when all numbers are equal; for distinct numbers, strict inequality.) **Step 2: Match with options.** - **Option A:** A.M. > G.M. > H.M. ✓ — This is the correct inequality. Hence, **Option A** is the correct answer.

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