Measures of Central Tendency and DispersionMCQMTP May 19/ RTP Sep 24Question 2967 of 473
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For open-end classification, which of the following is the best measure of central tendency?

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option c — Median

All Options:

  • AAM
  • BGM
  • CMedian
  • DMode

Detailed Solution & Explanation

In an open-end classification, the first and/or last class intervals do not have defined outer boundaries. Because of this, the arithmetic mean, geometric mean, and harmonic mean cannot be calculated because they require computing the midpoints of all class intervals. The median, being a positional average, only depends on identifying the class interval containing the middle-most observation, which is unaffected by the undefined boundaries of the extreme classes. Thus, median is the best measure of central tendency for open-end classification. 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 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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