Central Tendency & DispersionMTP June 2023 Series IQuestion 2913 of 473
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The mean of 100\displaystyle 100 observations is 50\displaystyle 50. If one of the observations which was 50\displaystyle 50 is replaced by 40\displaystyle 40, the resulting mean will be:

Options

A40
B49.90
C30
DNone of these
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Correct Answer

✅ Option b — 49.90

All Options:

  • A40
  • B49.90
  • C30
  • DNone of these

Detailed Solution & Explanation

**Step 1: Original total sum.** Sum=100×50=5000\text{Sum} = 100 \times 50 = 5000 **Step 2: New sum after replacement.** New sum=5000−50+40=4990\text{New sum} = 5000 - 50 + 40 = 4990 **Step 3: New mean.** New mean=4990100=49.90\text{New mean} = \frac{4990}{100} = 49.90 **Note:** The computed new mean is **49.90** (Option B), not 40 (Option A). Hence, **Option B** is the correct answer.

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