Mathematics
The following table shows the marks obtained by the students of a class in an examination.
| Marks | No. of students |
|---|---|
| 0 - 10 | 15 |
| 10 - 20 | 32 |
| 20 - 30 | 55 |
| 30 - 40 | 35 |
| 40 - 50 | 13 |
Draw a frequency polygon.
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Answer
Frequency distribution table :
| Marks | Class mark | Number of students (Frequency) |
|---|---|---|
| 0 - 10 | 5 | 15 |
| 10 - 20 | 15 | 32 |
| 20 - 30 | 25 | 55 |
| 30 - 40 | 35 | 35 |
| 40 - 50 | 45 | 13 |
Steps to draw frequency polygon :
Take 2 cm along x-axis = 10 marks.
Take 2 cm along y-axis = 10 students.
Find the mid-point 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 (-10) - 0 with zero frequency and join the other end with mid-point of class 50 - 60 with zero frequency.
The required frequency polygon is shown below:

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