| Score (x) | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
| Freq (f) | 5 | 7 | 3 | 7 | 11 | 6 | 7 |
Find the variance
- 3.42
- 4.69
- 4.85
-
3.72
The correct answer is: D
Explanation
| x | f | fx | (x - \(\bar{x}\)) | (x - \(\bar{x}\))\(^2\) | f(x - \(\bar{x}\))\(^2\) |
| 0 | 5 | 0 | -3.26 | 10.628 | 53.14 |
| 1 | 7 | 7 | -2.26 | 5.108 | 35.756 |
| 2 | 3 | 6 | -1.26 | 1.588 | 4.764 |
| 3 | 7 | 21 | -0.26 | 0.068 | 0.476 |
| 4 | 11 | 44 | 0.74 | 0.548 | 6.028 |
| 5 | 6 | 30 | 1.74 | 3.028 | 18.168 |
| 6 | 7 | 42 | 2.74 | 7.508 | 52.556 |
| 46 | 150 | 170.888 |
Variance = \(\frac{\sum f(x - \bar{x})}{\sum f}\)
= \(\frac{170.888}{46}\)
= 3.72
There is an explanation video available .