Measures of Central Tendency and DispersionMCQMTP Mar 22Question 3107 of 473
All Questions

The deviations are minimum when taken from

Options

AMean
BMedian
CMode
DGM
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Correct Answer

✅ Option b — Median

All Options:

  • AMean
  • BMedian
  • CMode
  • DGM

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Detailed Solution & Explanation

The sum of the absolute deviations of a set of observations from any central value is minimized when the central value chosen is the **Median**. Mathematically, for a set of values x1,x2,…,xn\displaystyle x_1, x_2, \dots, x_n: ∑i=1n∣xi−A∣ is minimized when A=Median\sum_{i=1}^n |x_i - A| \text{ is minimized when } A = \text{Median} 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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