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Mathematics

The following table shows the marks obtained by the students of a class in an examination.

MarksNo. of students
0 - 1015
10 - 2032
20 - 3055
30 - 4035
40 - 5013

Draw a frequency polygon.

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Answer

Frequency distribution table :

MarksClass markNumber of students (Frequency)
0 - 10515
10 - 201532
20 - 302555
30 - 403535
40 - 504513

Steps to draw frequency polygon :

  1. Take 2 cm along x-axis = 10 marks.

  2. Take 2 cm along y-axis = 10 students.

  3. Find the mid-point of class intervals.

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

  5. Join consecutive points by line segments.

  6. 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:

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

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