Question
Construct a frequency polygon without using a histogram for the following frequency distribution :
Class Mark 10 15 20 25 30 35 40
Frequency 4 20 40 45 30 25 5

Answer

Steps:
1. On the $x$-axis, take $1 \mathrm{~cm}$ as 5 units and plot class interval.
2. On the $y$-axis, take $1 \mathrm{~cm}$ as 5 units and plot frequency.
3. Mark the given data on the graph. $(10,4),(15,20),(20,40),(25,45),(30,30),(35,25),(40,5)$
4. Mark two more midpoints of zero frequency on $x$-axis at the start and at the end.
5. Now connect the points using staright lines.
Class Mark Frequency
10 4
15 20
20 40
25 45
30 30
35 25
40 5

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