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Construct a Frequency Polygon for the Following Data: - Mathematics

Graph
Sum

Construct a frequency polygon for the following data:

Class-Intervals

10 - 14

15 - 19

20 - 24

25 - 29

30 - 34

Frequency

5

8

12

9

4

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Solution

The class intervals are inclusive. We will first convert them into the exclusive form.

Class-Interval

Frequency

9.5 - 14.5

5

14.5 - 19.5

8

19.5 - 24.5

12

24.5 - 29.5

9

29.5 - 34.5

4

Steps:

  1. Draw a histogram for the given data.
  2. Mark the mid-point at the top of each rectangle of the histogram drawn.
  3. Also, mark the mid-point of the immediately lower class-interval and mid-point of the immediately higher class-interval.
  4. Join the consecutive mid-points marked by straight lines to obtain the required frequency polygon. 

The required frequency polygon is as follows:

Concept: Graphical Representation of Data
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 18 Statistics
Exercise 18 (B) | Q 3 | Page 233
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