Find the mean and variance for the data 6,7,10,12,13,4,8,12
Given date is, 6,7,10,12,13,4,8,12
Mean ¯x=∑8i=1xin=6+7+10+12+13+4+8+128=728=9
Now,
xi
| (xi−¯x) | (xi−¯x)2 |
6
| -3 | 9 |
7 | -2 | 4 |
10 | -1 | 1 |
12
| 3 | 9 |
13 | 4 | 16 |
4 | -5 | 25 |
8 | -1 | 1 |
12 | 3 | 9 |
|
| 74 |
∴ Variance (σ2)=1n8∑i=l(xi−¯x)2=18×74=9.25