Central Tendency & DispersionMTP Mar 21Question 2894 of 473
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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

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.

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