Question:
The mean deviation about the mean of the dataset \( \{22, 24, 30, 27, 29, 31, 25, 28, 41, 43, 30\} \) is:
The mean deviation about the mean of the dataset \( \{22, 24, 30, 27, 29, 31, 25, 28, 41, 43, 30\} \) is:
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To compute mean deviation, use absolute differences from mean and divide their sum by total number of elements.
Updated On: Apr 24, 2025
- 4.5
- 4.9
- 5.3
- 5.5
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The Correct Option is A
Solution and Explanation
Step 1: Calculate the mean
\[
\text{Mean} = \frac{\text{Sum of elements}}{11} = \frac{330}{11} = 30
\]
Step 2: Mean deviation
\[
MD = \frac{1}{11} \sum |x_i - 30| = \frac{49.5}{11} = 4.5
\]
Correct value: 4.5
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