Q. 30. The median of the following data is 52.5. Find the values of x and y if the total frequency is 100.
Class Interval |
Frequency |
| 0 -1 | 2 |
| 10 – 20 | 5 |
| 20 – 30 | x |
| 30 – 40 | 12 |
| 40 – 50 | 17 |
| 50 – 60 | 20 |
| 60 – 70 | y |
| 70 – 80 | 9 |
| 80 – 90 | 7 |
| 90 – 100 | 4 |
Sol.
Class Interval |
Freq. (fi) | cfi |
| 0 - 10 | 2 | 2 |
| 10 - 20 | 5 | 7 |
| 20 - 30 | x | 7 + x |
| 30 – 40 | 12 | 19 + x |
| 40 - 50 | 17 | 36 +x |
| 50 – 60 | 20 | 56 + x |
| 60 – 70 | Y | 56 + x + y |
| 70 – 80 | 9 | 65 + x + y |
| 80 - 90 | 7 | 72 + x + y |
| 90 – 100 | 4 | 76 + x + y |
| 100 (Same) |
| Mathematics 2008 Question Papers Class X | |||||||
| Delhi | Outside Delhi | Compartment Delhi | Compartment Outside Delhi | ||||
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