Mathematics
Draw a frequency polygon to represent the following data:
| Weekly wages (in ₹) | No. of workers |
|---|---|
| 750 - 850 | 52 |
| 850 - 950 | 41 |
| 950 - 1050 | 65 |
| 1050 - 1150 | 54 |
| 1150 - 1250 | 38 |
Answer
Frequency distribution table :
| Weekly wages (in ₹) | Class mark | Frequency |
|---|---|---|
| 750 - 850 | 800 | 52 |
| 850 - 950 | 900 | 41 |
| 950 - 1050 | 1000 | 65 |
| 1050 - 1150 | 1100 | 54 |
| 1150 - 1250 | 1200 | 38 |
Steps to draw frequency polygon :
Take 2 cm along x-axis = ₹ 100.
Take 1 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 750.
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 650 - 750 with zero frequency and join the other end with mid-point of class 1250 - 1350 with zero frequency.
The required frequency polygon is shown below:
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