Question:
The sum of absolute deviations is minimum when taken from:
The sum of absolute deviations is minimum when taken from:
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Exam Tip:
• Mean: Minimizes sum of squared deviations.
• Median: Minimizes sum of absolute deviations.
• Mode: Maximizes frequency.
• Mean: Minimizes sum of squared deviations.
• Median: Minimizes sum of absolute deviations.
• Mode: Maximizes frequency.
Updated On: Aug 27, 2026
- Mean
- Median
- Mode
- Geometric mean
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept:
The sum of absolute deviations is a measure of dispersion.
It is minimized when deviations are taken from the median.
Step 2: Key Property:
• The sum of squared deviations is minimum when taken from the mean.
• The sum of absolute deviations is minimum when taken from the median.
Step 3: Final Answer:
Therefore, option (B) is correct.
The sum of absolute deviations is a measure of dispersion.
It is minimized when deviations are taken from the median.
Step 2: Key Property:
• The sum of squared deviations is minimum when taken from the mean.
• The sum of absolute deviations is minimum when taken from the median.
Step 3: Final Answer:
Therefore, option (B) is correct.
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