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प्रश्न
A batsman scores runs in 10 innings as 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44. The mean deviation about mean is
विकल्प
8.6
6.4
10.6
7.6
None of these
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उत्तर
None of these
\[N = 10\]
\[X = \frac{38 + 70 + 48 + 34 + 42 + 55 + 63 + 46 + 54 + 44}{10} \]
\[ = \frac{494}{10}\]
\[ = 49 . 4\]
| xi | di = \[\left| x_i - 49 . 4 \right|\] |
| 34 | 15.4 |
| 38 | 11.4 |
| 42 | 7.4 |
| 44 | 5.4 |
| 46 | 3.4 |
| 48 | 1.4 |
| 54 | 4.6 |
| 55 | 5.6 |
| 63 | 13.6 |
| 70 | 20.6 |
|
\[\sum^n_{i =} d_i = 88 . 8\]
|
\[\text{ Mean deviation from the mean } = \frac{88 . 8}{10}\]
\[ = 8 . 88\]
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