Question:
The mean deviation about the mean for the data: $5, 6, 14, 15$ is
The mean deviation about the mean for the data: $5, 6, 14, 15$ is
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Always take absolute values while calculating mean deviation.
Updated On: Apr 24, 2026
- $3.5$
- $4.5$
- $4.2$
- $3.8$
- $4.0$
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The Correct Option is B
Solution and Explanation
Concept:
• Mean deviation about mean: \[ \frac{\sum |x_i - \bar{x}|}{n} \]
Step 1: Find mean
\[ \bar{x} = \frac{5+6+14+15}{4} = 10 \]
Step 2: Find deviations
\[ |5-10|=5,\; |6-10|=4,\; |14-10|=4,\; |15-10|=5 \]
Step 3: Compute mean deviation
\[ \frac{5+4+4+5}{4} = \frac{18}{4} = 4.5 \] Final Conclusion:
\[ = 4.5 \]
• Mean deviation about mean: \[ \frac{\sum |x_i - \bar{x}|}{n} \]
Step 1: Find mean
\[ \bar{x} = \frac{5+6+14+15}{4} = 10 \]
Step 2: Find deviations
\[ |5-10|=5,\; |6-10|=4,\; |14-10|=4,\; |15-10|=5 \]
Step 3: Compute mean deviation
\[ \frac{5+4+4+5}{4} = \frac{18}{4} = 4.5 \] Final Conclusion:
\[ = 4.5 \]
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