Mathematics
For the following distribution, the upper quartile is :
| Number | Frequency |
|---|---|
| 20 | 1 |
| 25 | 2 |
| 30 | 5 |
| 35 | 6 |
| 40 | 3 |
| 45 | 2 |
| 50 | 1 |
35
30
45
40
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Answer
Cumulative frequency distribution table :
| Number | Frequency | Cumulative frequency |
|---|---|---|
| 20 | 1 | 1 |
| 25 | 2 | 3 (1 + 2) |
| 30 | 5 | 8 (3 + 5) |
| 35 | 6 | 14 (8 + 6) |
| 40 | 3 | 17 (14 + 3) |
| 45 | 2 | 19 (17 + 2) |
| 50 | 1 | 20 (19 + 1) |
Here, n = 20, which is even.
By formula,
Upper quartile = th term = = 15th term.
Number related to 15th to 17th term is 40.
∴ Upper quartile = 40.
Hence, Option 4 is the correct option.
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