2017 · Q58
Consider the following frequency distribution:
| X | Frequency | Cumulative frequency |
| 1 | 8 | 8 |
| 2 | 10 | 18 |
| 3 | f₁ | 29 |
| 4 | f₂ | 45 |
What are the values of f₁ and f₂ respectively ?
Elementary MathematicsStatistics
- A10 and 17
- B17 and 10
- C11 and 16
- D16 and 11
Explanation
This tests reading cumulative frequencies. The cumulative frequency at X = 3 is 29 and at X = 2 it is 18, so f₁ = 29 - 18 = 11. At X = 4 the cumulative is 45, so f₂ = 45 - 29 = 16. Option (d) swaps them (16 and 11) — the trap for reading the rows in the wrong order. Hence option (c).