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Mathematics

Draw a frequency polygon to represent the following data :

Weight (in kg)No. of workers
35 - 406
40 - 4517
45 - 5030
50 - 558
55 - 603

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Answer

Frequency distribution table :

Weight (in kg)Class markFrequency
35 - 4037.56
40 - 4542.517
45 - 5047.530
50 - 5552.58
55 - 6057.53

Steps to draw frequency polygon :

  1. Take 2 cm along x-axis = 5 kg.

  2. Take 2 cm along y-axis = 5 workers.

  3. Find the mid-point of class intervals.

  4. A kink is drawn near x-axis to show that the scale begins at 35.

  5. Find points corresponding to given frequencies of classes and the mid-points of class-intervals, and plot them.

  6. Join consecutive points by line segments.

  7. 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 :

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. ARC Properties of Circle, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

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