Measures of Central Tendency and DispersionMCQMTP Nov 21Question 2900 of 473
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The average of 10 observations is 14.4. If the average of first four observations is 16.5. The average of remaining 6 observations is:

Options

A13.6
B13.0
C13.2
D12.5
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Correct Answer

✅ Option b — 13.0

All Options:

  • A13.6
  • B13.0
  • C13.2
  • D12.5

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Detailed Solution & Explanation

**Step 1: Compute total sum.** Total sum=10×14.4=144\text{Total sum} = 10 \times 14.4 = 144 **Step 2: Compute sum of first 4 observations.** Sum of first 4=4×16.5=66\text{Sum of first 4} = 4 \times 16.5 = 66 **Step 3: Find sum of remaining 6.** Sum of remaining 6=144−66=78\text{Sum of remaining 6} = 144 - 66 = 78 **Step 4: Compute average of remaining 6.** xˉremaining=786=13\bar{x}_{remaining} = \frac{78}{6} = 13 **Note:** The computed average is **13** (Option B), not 13.6 (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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