Mathematics
Draw a frequency polygon to represent the following data :
| Weight (in kg) | No. of workers |
|---|---|
| 35 - 40 | 6 |
| 40 - 45 | 17 |
| 45 - 50 | 30 |
| 50 - 55 | 8 |
| 55 - 60 | 3 |
Statistics
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Answer
Frequency distribution table :
| Weight (in kg) | Class mark | Frequency |
|---|---|---|
| 35 - 40 | 37.5 | 6 |
| 40 - 45 | 42.5 | 17 |
| 45 - 50 | 47.5 | 30 |
| 50 - 55 | 52.5 | 8 |
| 55 - 60 | 57.5 | 3 |
Steps to draw frequency polygon :
Take 2 cm along x-axis = 5 kg.
Take 2 cm along y-axis = 5 workers.
Find the mid-point of class intervals.
A kink is drawn near x-axis to show that the scale begins at 35.
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 - 35 with zero frequency and join the other end with mid-point of class 60 - 65 with zero frequency.
The required frequency polygon is shown below :

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