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प्रश्न
If the mean of the following data is 20.2, then find the value of p.
| xi | 10 | 15 | 20 | 25 | 30 |
| fi | 6 | 8 | p | 10 | 6 |
उत्तर
We have,
| `bb(x_i)` | `bb(f_i)` | `bb(x_i f_i)` |
| 10 | 6 | 60 |
| 15 | 8 | 120 |
| 20 | p | 20p |
| 25 | 10 | 250 |
| 30 | 6 | 180 |
| Total N = (30 + p) | Total sum = (610 + 20 p) |
since, mean = 20.2
⇒ `(610 + 20"p")/(30 + "p")` = 20.2
⇒ 610 + 20p = 20.2 (30 + p)
⇒ 610 + 20p = 606 + 20.2p
⇒ 20.2p - 20p = 610 - 606
⇒ 0.2p = 4
⇒ p = `4/0.2`
⇒ p = 20
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