Central Tendency & DispersionMTP Apr 21Question 2899 of 473
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The mean height of girls in class in 162cm while for boys is 182cm. The ratio of no. of girls: boys is 1:2. Find the mean height of the whole class

Options

A170 cm
B180 cm
C154 cm
D175.33
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Correct Answer

✅ Option d — 175.33

All Options:

  • A170 cm
  • B180 cm
  • C154 cm
  • D175.33

Detailed Solution & Explanation

**Step 1: Set up variables.** Girls : Boys =1:2\displaystyle = 1 : 2. Let girls =1k\displaystyle = 1k, boys =2k\displaystyle = 2k. **Step 2: Apply combined mean formula.** xˉcombined=1k×162+2k×1821k+2k=162+3643=5263=175.33 cm\bar{x}_{combined} = \frac{1k \times 162 + 2k \times 182}{1k + 2k} = \frac{162 + 364}{3} = \frac{526}{3} = 175.33 \text{ cm} **Note:** The computed mean is **175.33 cm** (Option D), not 154 cm (Option C). The correct answer is 175.33. Hence, **Option D** is the correct answer.

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