Central Tendency & DispersionMTP Nov 19Question 2889 of 473
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The average weight of 8 person increases by 1.5 kg, if a person weighing 65 kg replaced by a new person, what would be the weight of the new person?

Options

A76 kg
B80 kg
C77 kg
DNone of these
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Correct Answer

✅ Option c — 77 kg

All Options:

  • A76 kg
  • B80 kg
  • C77 kg
  • DNone of these

Detailed Solution & Explanation

**Step 1: Understand the effect of replacement on the average.** When the average of 8 persons increases by 1.5 kg, the total weight increases by 8×1.5=12\displaystyle 8 \times 1.5 = 12 kg. **Step 2: Compute the weight of the new person.** Total weight increase =\displaystyle = Weight of new person −\displaystyle - Weight of replaced person 12=Wnew−6512 = W_{new} - 65 Wnew=65+12=77 kgW_{new} = 65 + 12 = 77 \text{ kg} **Note:** The computed weight is 77 kg (Option C), not 76 kg (Option A). Let us verify: increase in average =1.5\displaystyle = 1.5 kg, n=8\displaystyle n = 8 persons, total increase =12\displaystyle = 12 kg. New person's weight =65+12=77\displaystyle = 65 + 12 = 77 kg. Hence, **Option C** is the correct answer.

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