Mathematics
In a class of 60 students, the marks obtained in a monthly test were as under :
| Marks | Students |
|---|---|
| 10 - 20 | 10 |
| 20 - 30 | 25 |
| 30 - 40 | 12 |
| 40 - 50 | 08 |
| 50 - 60 | 05 |
Statistics
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Answer
Frequency distribution table :
| Marks | Class marks | Students |
|---|---|---|
| 10 - 20 | 15 | 10 |
| 20 - 30 | 25 | 25 |
| 30 - 40 | 35 | 12 |
| 40 - 50 | 45 | 08 |
| 50 - 60 | 55 | 05 |
Steps to draw frequency polygon :
Take 2 cm along x-axis = 10 marks.
Take 1 cm along y-axis = 5 students.
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 0 - 10 with zero frequency and join the other end with mid-point of class 60 - 70 with zero frequency.
The required frequency polygon is shown below:
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