Which measure of dispersion is based on the absolute deviation only?
Options
ARange
BStandard Deviation
CMean Deviation
DQuartile Deviation
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Measures of Central Tendency and DispersionMCQMTP Dec 22 - Series IQuestion 3109 of 473
All Questions Correct Answer
✅ Option c — Mean Deviation
All Options:
- ARange
- BStandard Deviation
- CMean Deviation
- DQuartile Deviation
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Detailed Solution & Explanation
Among the measures of dispersion, the Range is based on the difference of extreme values, the Standard Deviation is based on squared deviations, and the Quartile Deviation is based on partition values. The **Mean Deviation** is the only measure of dispersion that is calculated as the mean of the absolute values of the deviations. Therefore, it is based on absolute deviations only.
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 SyllabusExam 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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