Find the variance of 1, 2, 0, -3, 5, -2, 4.
-
A.
(frac{52}{7}) -
B.
(frac{40}{7}) -
C.
(frac{32}{7}) -
D.
(frac{27}{7})
Correct Answer: Option A
Explanation
Mean, (bar{x} = frac{1+2+0+(-3)+5+(-2)+4}{7} = frac{7}{7} = 1)
| (x) | ((x – bar{x})) | ((x – bar{x})^{2}) |
| 1 | 0 | 0 |
| 2 | 1 | 1 |
| 0 | -1 | 1 |
| -3 | -4 | 16 |
| 5 | 4 | 16 |
| -2 | -3 | 9 |
| 4 | 3 | 9 |
| Total (n) = 7 |
52 |
Variance = (frac{sum (x – bar{x)^{2}}{n})
= (frac{52}{7})