Measures of Central Tendency and DispersionMCQMTP June 2023 Series IIQuestion 2918 of 473
All Questions

The average weight of 40\displaystyle 40 people is increased by 2.4\displaystyle 2.4 kg when one man weight 73\displaystyle 73 kg is replaced by another man. Find the weight of the new man?

Options

A121
B169
C154
D143
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Correct Answer

✅ Option b — 169

All Options:

  • A121
  • B169
  • C154
  • D143

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Detailed Solution & Explanation

**Step 1: Compute the total increase in weight.** When average increases by 2.4 kg for 40 people: Total increase=40×2.4=96 kg\text{Total increase} = 40 \times 2.4 = 96 \text{ kg} **Step 2: Find the weight of the new man.** Wnew=Wold+Total increase=73+96=169 kgW_{new} = W_{old} + \text{Total increase} = 73 + 96 = 169 \text{ kg} **Note:** The computed weight is **169 kg** (Option B), not 121 (Option A). Hence, **Option B** is the correct answer.

About This Chapter: Measures of Central Tendency and Dispersion

Paper

Paper 3: Quantitative Aptitude

Weightage

12-15 Marks

Key Topics

Mean, Median, Mode, Range, Mean Deviation, Standard Deviation

The core foundation of Statistics. This chapter covers Mean (Arithmetic, Geometric, Harmonic), Median, Mode, and their properties. It also explores measures of spread like Range, Mean Deviation, Standard Deviation, and Quartile Deviation.

View Official ICAI Syllabus

Exam Strategy Tip

Do not just memorize formulas; ICAI loves asking about the mathematical properties (e.g., 'sum of deviations from the AM is always zero'). You can usually eliminate 2 options just by knowing the properties.

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