Measures of Central Tendency and DispersionMCQPYQ Dec 23Question 2876 of 473
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The mean of the first three terms is 17 and mean of next four terms is 21. Calculate the mean of seven terms.

Options

A18.28\displaystyle 18.28
B19.78\displaystyle 19.78
C19.58\displaystyle 19.58
D19.28\displaystyle 19.28
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Correct Answer

✅ Option d — 19.28\displaystyle 19.28

All Options:

  • A18.28\displaystyle 18.28
  • B19.78\displaystyle 19.78
  • C19.58\displaystyle 19.58
  • D19.28\displaystyle 19.28

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Detailed Solution & Explanation

**Step 1: Compute sum of first 3 terms.** Sum1=3×17=51\text{Sum}_1 = 3 \times 17 = 51 **Step 2: Compute sum of next 4 terms.** Sum2=4×21=84\text{Sum}_2 = 4 \times 21 = 84 **Step 3: Compute the combined mean of all 7 terms.** Mean=51+847=1357=19.2857...≈19.28\text{Mean} = \frac{51 + 84}{7} = \frac{135}{7} = 19.2857... \approx 19.28 Hence, **Option D** 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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