A shift of origin has no impact on
Options
AMean deviation
BStandard deviation
CQuartile deviation
DAll of these
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Measures of Central Tendency and DispersionMCQMTP Nov 20Question 3251 of 473
All Questions Correct Answer
✅ Option d — All of these
All Options:
- AMean deviation
- BStandard deviation
- CQuartile deviation
- DAll of these
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Detailed Solution & Explanation
A shift of origin occurs when a constant is added to or subtracted from all observations in a dataset. Since all measures of dispersion (Mean Deviation, Standard Deviation, and Quartile Deviation) are independent of change of origin, a shift of origin has no impact on any of them.
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 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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