The sales of five salesgirls on a certain day are as follows; GH¢ 26.00, GH¢ 39.00, GH¢ 33.00, GH¢ 25.00 and GH¢ 37.00. Calculate the standard deviation if the mean sale is GH¢ 32.00.
-
A.
GH¢ 5.65 -
B.
GH¢ 5.66 -
C.
GH¢ 6.5 -
D.
GH¢ 6.56
Correct Answer: Option B
Explanation
| (x) | (x – bar{x}) | ((x – bar{x})^{2}) |
|
26.00 |
-6 | 36 |
| 39.00 | 7 | 49 |
| 33.00 | 1 | 1 |
| 25.00 | -7 | 49 |
| 37.00 | 5 | 25 |
| (sum (x – bar{x})^{2})=160 |
(S.D = sqrt{frac{(x – bar{x})^{2}}{n}})
(S.D = sqrt{frac{160}{5}} = sqrt{32})
= (GH¢ 5.656 approxeq GH¢ 5.66)