Measures of Central Tendency and DispersionMCQMTP Mar 21Question 2894 of 473
All Questions

Which of the following measures of central tendency cannot be calculated by graphical method?

Options

AMean
BMode
CMedian
DQuartile
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Correct Answer

✅ Option a — Mean

All Options:

  • AMean
  • BMode
  • CMedian
  • DQuartile

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Detailed Solution & Explanation

**Step 1: Check graphical methods for each measure.** - **Median**: Can be read from the ogive (cumulative frequency curve) by locating N/2\displaystyle N/2 on the y-axis. - **Mode**: Can be determined graphically from a histogram (by drawing lines from the highest bar to adjacent bars). - **Quartiles**: Can be read from the ogive by locating N/4\displaystyle N/4 and 3N/4\displaystyle 3N/4. - **Mean**: Cannot be directly read from a graph; it requires computation from raw data or frequency table. **Step 2: Conclusion.** **Mean** cannot be calculated by graphical methods. **Note:** The `correct_option` is C (Median), but this is incorrect. Median IS obtainable graphically from an ogive. Mean cannot be obtained graphically. The correct answer is **Mean (Option A)**. Hence, **Option A** 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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