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प्रश्न
Marks of 5 students of a group are 8, 12, 13, 15 and 22, then find the variance.
विकल्प
22.1
23
20.2
21.2
MCQ
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उत्तर
21.2
Explanation:
`barx = (8 + 12 + 13 + 15 + 22)/5 = 14`
Calculation of variance
| `bb(x_i)` | `bb(x_i - barx)` | `bb((x_i - barx)^2)` |
| 8 | −6 | 36 |
| 12 | −2 | 4 |
| 13 | −1 | 1 |
| 15 | 1 | 1 |
| 22 | 8 | 64 |
n = 5, `sum(x_i - barx)^2 = 106`
Var(x) = `1/n sum (x_i - barx)^2 = 106/5`
= 21.2
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