Measures of Central Tendency and DispersionMCQPYQ Dec 22Question 3224 of 473
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_________ is based on all the observations and _________ is based on the central fifty percent of the observations.

Options

AMean deviation, Range
BMean deviation, quartile deviation
CRange, Standard deviation
DQuartile deviation, standard deviation
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Correct Answer

✅ Option b — Mean deviation, quartile deviation

All Options:

  • AMean deviation, Range
  • BMean deviation, quartile deviation
  • CRange, Standard deviation
  • DQuartile deviation, standard deviation

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Detailed Solution & Explanation

The mean deviation (or standard deviation) is calculated using every observation in the dataset, meaning it is based on all the observations. In contrast, the quartile deviation is calculated using only the first and third quartiles (Q1\displaystyle Q_1 and Q3\displaystyle Q_3), which enclose the middle 50%\displaystyle 50\% of the data. Thus, it is based on the central fifty percent of the observations. 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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