Measures of Central Tendency and DispersionMCQPYQ Nov. 18Question 3074 of 473
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If the range of a set of values is 65\displaystyle 65 and maximum value in the set is 83\displaystyle 83, then the minimum value in the set is

Options

A74\displaystyle 74
B9\displaystyle 9
C18\displaystyle 18
DNone of these
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Correct Answer

✅ Option c — 18\displaystyle 18

All Options:

  • A74\displaystyle 74
  • B9\displaystyle 9
  • C18\displaystyle 18
  • DNone of these

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Detailed Solution & Explanation

**Step 1: Recall the formula for Range.** Range=Maximum value−Minimum value\text{Range} = \text{Maximum value} - \text{Minimum value} **Step 2: Substitute values.** - Range = 65, Maximum = 83 65=83−Minimum65 = 83 - \text{Minimum} Minimum=83−65=18\text{Minimum} = 83 - 65 = 18 The minimum value is 18\displaystyle 18 = **Option C**. Note: The exam key says B (9\displaystyle 9) but 83−65=18\displaystyle 83 - 65 = 18 = Option C. The correct answer is **C**. Hence, **Option C** 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.

Key Concepts to Understand

Set

A well-defined collection of distinct objects (called elements or members). Sets are denoted by capital letters and elements are listed within curly braces. Key operations include Union (∪), Intersection (∩), and Complement.

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