Question:
The mean deviation of the numbers 3, 10, 10, 4, 7, 10 and 5 from the mean is:
The mean deviation of the numbers 3, 10, 10, 4, 7, 10 and 5 from the mean is:
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To calculate the mean deviation, first find the mean of the numbers, then calculate the absolute deviation from the mean and find the average.
Updated On: Apr 7, 2026
- 2
- 2.5
- 2.57
- 3
- 3.75
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The Correct Option is C
Solution and Explanation
The mean of the numbers is calculated as:
\[
{Mean} = \frac{3 + 10 + 10 + 4 + 7 + 10 + 5}{7} = \frac{49}{7} = 7
\]
Now, calculate the deviations from the mean:
\[
|3 - 7| = 4, \quad |10 - 7| = 3, \quad |10 - 7| = 3, \quad |4 - 7| = 3, \quad |7 - 7| = 0, \quad |10 - 7| = 3, \quad |5 - 7| = 2
\]
The mean deviation is the average of these deviations:
\[
{Mean deviation} = \frac{4 + 3 + 3 + 3 + 0 + 3 + 2}{7} = \frac{18}{7} \approx 2.57
\]
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