Central Tendency & DispersionMTP Apr 21Question 2898 of 473
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At ABC Ltd, the average age of employees is 36. Average age of male employees is 38 and that of female is 32. Find the ratio of female to male in the company.

Options

A1:3
B2:1
C1:2
D3:1
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Correct Answer

✅ Option c — 1:2

All Options:

  • A1:3
  • B2:1
  • C1:2
  • D3:1

Detailed Solution & Explanation

**Step 1: Set up the equation using the combined mean formula.** Let the number of females =f\displaystyle = f and males =m\displaystyle = m. 32f+38mf+m=36\frac{32f + 38m}{f + m} = 36 **Step 2: Solve.** 32f+38m=36f+36m32f + 38m = 36f + 36m 38m−36m=36f−32f38m - 36m = 36f - 32f 2m=4f2m = 4f fm=24=12\frac{f}{m} = \frac{2}{4} = \frac{1}{2} So female : male =1:2\displaystyle = 1 : 2 (Option C). **Note:** The computed ratio is 1:2 (Option C), not 2:1 (Option B). Verification: If f=1,m=2\displaystyle f = 1, m = 2: (32×1+38×2)/3=(32+76)/3=108/3=36\displaystyle (32 \times 1 + 38 \times 2)/3 = (32+76)/3 = 108/3 = 36 ✓ Hence, **Option C** is the correct answer.

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