Mathematics
Draw a frequency polygon for the following data :
| Class intervals | Frequency |
|---|---|
| 40 - 50 | 15 |
| 50 - 60 | 28 |
| 60 - 70 | 45 |
| 70 - 80 | 32 |
| 80 - 90 | 41 |
| 90 - 100 | 18 |
Statistics
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Answer
Frequency distribution table :
| Class intervals | Class marks | Frequency |
|---|---|---|
| 40 - 50 | 45 | 15 |
| 50 - 60 | 55 | 28 |
| 60 - 70 | 65 | 45 |
| 70 - 80 | 75 | 32 |
| 80 - 90 | 85 | 41 |
| 90 - 100 | 95 | 18 |
Steps to draw frequency polygon :
Since, the scale on x-axis starts at 30, a kink is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 30.
Take 1 cm along x-axis = 10 units.
Take 1 cm along y-axis = 5 units.
Find the mid-points of class-intervals.
Find points corresponding to given frequencies of classes and the mid-points of class-intervals, and plot them.
Join consecutive points by line segments.
Join first end point with mid-point of class 30 - 40 with zero frequency and join the other end with mid-point of class 100 - 110 with zero frequency.
The required frequency polygon is shown below:
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