Measures of Central Tendency and DispersionMCQMTP Nov 20Question 3252 of 473
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Which measure is based on all the observations

Options

AStandard deviation
BMean deviation
CQuartile deviation
DBoth (a) and (b)
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Correct Answer

✅ Option d — Both (a) and (b)

All Options:

  • AStandard deviation
  • BMean deviation
  • CQuartile deviation
  • DBoth (a) and (b)

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Detailed Solution & Explanation

The standard deviation and the mean deviation are calculated using all the observations in the dataset, meaning they are based on all observations. In contrast, the quartile deviation is calculated using only Q1\displaystyle Q_1 and Q3\displaystyle Q_3, which are based on the central fifty percent of the observations. Therefore, both (a) and (b) are based on all observations. 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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