Question:
The mean deviation about the median for the following data: \(6,3,4,9,2,7,11\) is:
The mean deviation about the median for the following data: \(6,3,4,9,2,7,11\) is:
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For mean deviation about median, sum absolute differences from median and divide by total number of data points.
Updated On: Jul 18, 2026
- 1.89
- 2.57
- 3.14
- 6.23
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The Correct Option is B
Solution and Explanation
Step 1: Arrange data.
\[ 2, 3, 4, 6, 7, 9, 11 \]
Step 2: Find median.
\[ \text{Median} = 6 \]
Step 3: Compute absolute deviations.
\[ |2-6|=4, \quad |3-6|=3, \quad |4-6|=2, \quad |6-6|=0, \quad |7-6|=1, \quad |9-6|=3, \quad |11-6|=5 \]
Step 4: Sum deviations.
\[ 4+3+2+0+1+3+5 = 18 \]
Step 5: Divide by number of observations.
\[ \text{Mean deviation about median} = \frac{18}{7} \approx 2.57 \]
Step 6: Final conclusion.
\[ \boxed{2.57} \]
\[ 2, 3, 4, 6, 7, 9, 11 \]
Step 2: Find median.
\[ \text{Median} = 6 \]
Step 3: Compute absolute deviations.
\[ |2-6|=4, \quad |3-6|=3, \quad |4-6|=2, \quad |6-6|=0, \quad |7-6|=1, \quad |9-6|=3, \quad |11-6|=5 \]
Step 4: Sum deviations.
\[ 4+3+2+0+1+3+5 = 18 \]
Step 5: Divide by number of observations.
\[ \text{Mean deviation about median} = \frac{18}{7} \approx 2.57 \]
Step 6: Final conclusion.
\[ \boxed{2.57} \]
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