Mathematics
Draw an ogive for the following distribution :
| Age in years (less than) | Cumulative frequency |
|---|---|
| 10 | 0 |
| 20 | 17 |
| 30 | 32 |
| 40 | 37 |
| 50 | 53 |
| 60 | 58 |
| 70 | 65 |
Statistics
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Answer
Cumulative frequency distribution table :
| Age in years (less than) | Cumulative frequency |
|---|---|
| 10 | 0 |
| 20 | 17 |
| 30 | 32 |
| 40 | 37 |
| 50 | 53 |
| 60 | 58 |
| 70 | 65 |
Steps of construction of ogive :
Take 2 cm = 10 units along x-axis.
Take 1 cm = 10 units along y-axis.
Ogive always starts from a point on x-axis representing the lowest limit. Mark point (0, 0).
Take upper class limits along x-axis corresponding cumulative frequencies along y-axis, mark the points (10, 0), (20, 17), (30, 32), (40, 37), (50, 53), (60, 58) and (70, 65).
Join the points marked by a free hand curve.
The required ogive is shown in the adjoining figure.
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