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प्रश्न
Find the value of p for the following distribution whose mean is 16.6
| x: | 8 | 12 | 15 | p | 20 | 25 | 30 |
| f : | 12 | 16 | 20 | 24 | 16 | 8 | 4 |
उत्तर
| x | f | fx |
| 8 | 12 | 96 |
| 12 | 16 | 192 |
| 15 | 20 | 300 |
| p | 24 | 24p |
| 20 | 16 | 320 |
| 25 | 8 | 200 |
| 30 | 4 | 120 |
| N = 100 | `sumfx = 24P + `1228` | |
Given mean = 16.6
⇒ `(sumfx)/N = 16.6`
⇒ `24p + 1228 / 100 = 16.6`
⇒ 24p = 1660 - 1228
⇒ 24p = 1660 - 1228
⇒ 24p = 432
⇒ `p = 432/24 = 18`
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