Measures of Central Tendency and DispersionMCQMTP May 19Question 2969 of 473
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Quartiles are the values dividing a given set of observations into

Options

ATwo equal parts
BFour equal parts
CFive equal parts
DNone of these
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Correct Answer

✅ Option b — Four equal parts

All Options:

  • ATwo equal parts
  • BFour equal parts
  • CFive equal parts
  • DNone of these

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Detailed Solution & Explanation

Quartiles are partition values that divide a given set of observations, when arranged in ascending or descending order, into **four equal parts**. The first quartile (Q1\displaystyle Q_1) divides the first 25%\displaystyle 25\% of the data, the second quartile (Q2\displaystyle Q_2, which is the median) divides the data at 50%\displaystyle 50\%, and the third quartile (Q3\displaystyle Q_3) divides the first 75%\displaystyle 75\% of the data. 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.

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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