Mathematics
Draw a cumulative frequency curve (ogive) for the following distributions :
| Class Interval | Frequency |
|---|---|
| 10 - 15 | 10 |
| 15 - 20 | 15 |
| 20 - 25 | 17 |
| 25 - 30 | 12 |
| 30 - 35 | 10 |
| 35 - 40 | 8 |
Statistics
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Answer
The cumulative frequency distribution :
| Class Interval | Frequency | Cumulative frequency |
|---|---|---|
| 10 - 15 | 10 | 10 |
| 15 - 20 | 15 | 25 (10 + 15) |
| 20 - 25 | 17 | 42 (25 + 17) |
| 25 - 30 | 12 | 54 (42 + 12) |
| 30 - 35 | 10 | 64 (54 + 10) |
| 35 - 40 | 8 | 72 (64 + 8) |
Steps of construction of ogive :
Take 2 cm = 5 units along x-axis.
Take 1 cm = 10 units along y-axis.
Ogive always starts from a point on x-axis representing the lower limit of the first class. Mark point (10, 0).
Take upper class limits along x-axis and corresponding cumulative frequencies along y-axis, mark the points (15, 10), (20, 25), (25, 42), (30, 54), (35, 64) and (40, 72).
Join the points marked by a free hand curve.
The required ogive is shown in the below figure:
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