The marks obtained by 10 students in a test are as follow...
The marks obtained by 10 students in a test are as follows: 3, 7, 6, 2, 8, 5, 9, 1, 4 and 10. Find the variance.
8.25
8.50
9.00
9.17
Correct answer is A
Mean ˉx = 3+7+6+2+8+5+9+1+4+1010
= 5510=5.50
| x | 3 | 7 | 6 | 2 | 8 | 5 | 9 | 1 | 4 | 10 | Total |
| x−ˉx | -2.5 | 1.5 | 0.5 | -3.5 | 2.5 | -0.5 | 3.5 | -4.5 | -1.5 | 4.5 | |
| (x−ˉx)2 | 6.25 | 2.25 | 0.25 | 12.25 | 6.25 | 0.25 | 12.25 | 20.25 | 2.25 | 20.25 | 82.5 |
Variance = ∑(x−ˉx)2n
= 82.510
= 8.25
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