The appropriate measure of dispersion for open-end classification is
Options
AStandard deviation
BMean deviation
CQuartile deviation
DAll these measures
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Measures of Central Tendency and DispersionMCQMTP May 20Question 3237 of 473
All Questions Correct Answer
✅ Option c — Quartile deviation
All Options:
- AStandard deviation
- BMean deviation
- CQuartile deviation
- DAll these measures
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Detailed Solution & Explanation
An open-end classification is a frequency distribution where the outer boundaries of the first and/or last class intervals are not defined. Because of this, we cannot compute the midpoints of these intervals, making it impossible to calculate the standard deviation or mean deviation. However, the first and third quartiles ( and ) lie inside the distribution and can be calculated, making **Quartile Deviation** the only appropriate measure of dispersion.
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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