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Question
The mean of the following data is 20.6. Find the value of p.
| x : | 10 | 15 | p | 25 | 35 |
| f : | 3 | 10 | 25 | 7 | 5 |
Solution
| x | f | fx |
| 10 | 3 | 30 |
| 15 | 10 | 150 |
| p | 25 | 25p |
| 25 | 7 | 175 |
| 35 | 5 | 175 |
| N = 50 | `sum = 25P + 530` |
It is given that
Mean = 20.6
⇒`(sumfx) /N = 20 .6`
⇒ `(25p + 530) /50= 20.6`
⇒ `25p + 530 = 20.6 (50) = 1030`
⇒ 25p = 1030 - 530
⇒ 25p = 500
⇒ `p = 500/25 = 20`
⇒ p= 20
∴ P = 20
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