Calculate the mean deviation of 1, 2, 3, 4, 5, 5, 6, 7, 8, 9.
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Correct Answer: Option A
Explanation:
Mean (\(\bar{x}\)) = \(\frac{1+2+3+4+5+5+6+7+8+9}{10} = \frac{50}{10} = 5\)
\(MD = \frac{\sum |x - \bar{x}|}{n} = \frac{20}{10} = 2\)
| x | 1 | 2 | 3 | 4 | 5 | 5 | 6 | 7 | 8 | 9 | Total |
| \(x - \bar{x}\) | -4 | -3 | -2 | -1 | 0 | 0 | 1 | 2 | 3 | 4 | |
| \(|x - \bar{x}|\) | 4 | 3 | 2 | 1 | 0 | 0 | 1 | 2 | 3 | 4 | 20 |
Mean (\(\bar{x}\)) = \(\frac{1+2+3+4+5+5+6+7+8+9}{10} = \frac{50}{10} = 5\)
\(MD = \frac{\sum |x - \bar{x}|}{n} = \frac{20}{10} = 2\)