Find the standard deviation of the numbers 3,6,2,1,7 and 5.
-
A.
2.00 -
B.
2.16 -
C.
2.50 -
D.
2.56
Correct Answer: Option B
Explanation
| (x) | 3 | 6 | 2 | 1 | 7 | 5 | Total = 24 |
| (x – bar{x}) | -1 | 2 | -2 | -3 | 3 | 1 | |
| ((x – bar{x})^{2}) | 1 | 4 | 4 | 9 | 9 | 1 | 28 |
(bar{x} = frac{24}{6} = 4)
(S.D = sqrt{frac{sum (x – bar{x})^{2}}{n}})
= (sqrt{frac{28}{6}} = sqrt{4.667} = 2.16)