Measures of Central Tendency and DispersionMCQPYQ Dec. 21Question 3078 of 473
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The marks secured by 5\displaystyle 5 students in a subject are 82,73,69,84,66\displaystyle 82, 73, 69, 84, 66. What is the coefficient of Range?

Options

A0.12
B12
C120
D0.012
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Correct Answer

✅ Option b — 12

All Options:

  • A0.12
  • B12
  • C120
  • D0.012

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Detailed Solution & Explanation

**Step 1: Find maximum and minimum values.** Data: 82, 73, 69, 84, 66. - Max = 84, Min = 66 **Step 2: Calculate Range.** Range=84−66=18\text{Range} = 84 - 66 = 18 **Step 3: Calculate Coefficient of Range.** Coefficient of Range=Max−MinMax+Min×100\text{Coefficient of Range} = \frac{\text{Max} - \text{Min}}{\text{Max} + \text{Min}} \times 100 =84−6684+66×100=18150×100=12= \frac{84 - 66}{84 + 66} \times 100 = \frac{18}{150} \times 100 = 12 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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