Central Tendency & DispersionMTP Mar 21Question 2895 of 473
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The mean salary for a group of 40 female workers is 5000 per month and that for a group of 60 male workers is 6000 per month. What is the combined mean salary?

Options

A6500
B6200
C6100
D5600
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Correct Answer

✅ Option d — 5600

All Options:

  • A6500
  • B6200
  • C6100
  • D5600

Detailed Solution & Explanation

**Step 1: Apply combined mean formula.** xˉcombined=nfxˉf+nmxˉmnf+nm\bar{x}_{combined} = \frac{n_f \bar{x}_f + n_m \bar{x}_m}{n_f + n_m} =40×5000+60×600040+60=200000+360000100=560000100=5600= \frac{40 \times 5000 + 60 \times 6000}{40 + 60} = \frac{200000 + 360000}{100} = \frac{560000}{100} = 5600 **Note:** The computed combined salary is **5600** (Option D), not 6500 (Option A). The correct calculation gives 5600. Hence, **Option D** is the correct answer.

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