Mathematics
Draw an ogive for the following distribution :
| Marks obtained | No. of students |
|---|---|
| less than 10 | 8 |
| less than 20 | 25 |
| less than 30 | 38 |
| less than 40 | 50 |
| less than 50 | 67 |
Statistics
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Answer
Cumulative frequency distribution table :
| Marks obtained | Class interval | No. of students (Cumulative frequency) |
|---|---|---|
| less than 10 | 0 - 10 | 8 |
| less than 20 | 10 - 20 | 25 |
| less than 30 | 20 - 30 | 38 |
| less than 40 | 30 - 40 | 50 |
| less than 50 | 40 - 50 | 67 |
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, 8), (20, 25), (30, 38), (40, 50) and (50, 67).
Join the points marked by a free hand curve.
The required ogive is shown in the below figure:
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