Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8
-
\(\sqrt{2}\)
- \(\sqrt{3}\)
- 2
- 3
The correct answer is: A
Explanation
mean = \(\frac{ 4 + 5 + 6 + 7 + 8}{5}\) = 6
| x | x - mean | (x - mean)\(^2\) |
| 4 | 4 - 6 = -2 | 4 |
| 5 | 5 - 6 = -1 | 1 |
| 6 | 6 - 6 = 0 | 0 |
| 7 | 7 - 6 = 1 | 1 |
| 8 | 8 - 6 = 2 | 4 |
Variance = \(\frac{10}{5}\)
S.D = \(\sqrt{variance}\) = \(\sqrt{2}\)
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