1. Calculate Mean from the following mixed data
| Class | Frequency |
| 1 | 3 |
| 2 | 4 |
| 5 | 10 |
| 6 - 10 | 23 |
| 10 - 20 | 20 |
| 20 - 30 | 20 |
| 30 - 50 | 15 |
| 50 - 70 | 3 |
| 70 - 100 | 2 |
Solution:Class
`(1)` | Frequency `(f)`
`(2)` | Mid value `(x)`
`(3)` | `f*x`
`(4)=(2)xx(3)` |
| 1 | 3 | 1 | 3 |
| 2 | 4 | 2 | 8 |
| 5 | 10 | 5 | 50 |
| 6 - 10 | 23 | 8 | 184 |
| 10 - 20 | 20 | 15 | 300 |
| 20 - 30 | 20 | 25 | 500 |
| 30 - 50 | 15 | 40 | 600 |
| 50 - 70 | 3 | 60 | 180 |
| 70 - 100 | 2 | 85 | 170 |
| --- | --- | --- | --- |
| `n = 100` | ----- | `sum f*x=1995` |
Mean `bar x = (sum fx)/n`
`=1995/100`
`=19.95`
2. Calculate Mean from the following mixed data
| Class | Frequency |
| 2 | 1 |
| 3 | 2 |
| 4 | 2 |
| 5 - 9 | 8 |
| 10 - 14 | 15 |
| 15 - 19 | 8 |
| 20 - 29 | 4 |
Solution:Class
`(1)` | Frequency `(f)`
`(2)` | Mid value `(x)`
`(3)` | `f*x`
`(4)=(2)xx(3)` |
| 2 | 1 | 2 | 2 |
| 3 | 2 | 3 | 6 |
| 4 | 2 | 4 | 8 |
| 5 - 9 | 8 | 7 | 56 |
| 10 - 14 | 15 | 12 | 180 |
| 15 - 19 | 8 | 17 | 136 |
| 20 - 29 | 4 | 24.5 | 98 |
| --- | --- | --- | --- |
| `n = 40` | ----- | `sum f*x=486` |
Mean `bar x = (sum fx)/n`
`=486/40`
`=12.15`
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