Frequency Polygon: Definition, Steps & Examples

Frequency Polygon: A frequency polygon is a great topic in the subject of Mathematics. A frequency polygon is the graphical representation of data that is arranged in a distribution. It is quite similar to that of a histogram. However, students should be able to differentiate between the two. Students appearing for the CBSE 10th board examinations will undoubtedly find this article on frequency polygon very helpful.

They will learn the concept of creating frequency polygons early to enhance their ability to visualise data. Embibe offers solution sets, mock tests, and previous year question papers. Candidates can practice these study materials prepared by the Embibe experts while preparing for their board examinations. Check out the entire article to understand the basic concepts of frequency polygon and score well in the exam. Students can also bookmark the Embibe page to receive the latest update and instant notifications about the 2022 exam.

The Definition of Frequency Polygon

Frequency polygons are the pictorial or graphical representation of the data set. It is widely used in statistics, where the data needs to be collected and organised systematically. It is easier to interpret the data with the help of a frequency polygon. When the data is represented visually, it makes it easier for students to understand and draw relevant conclusions.

We can say that frequency polygon depicts the shapes and trends of data. It can be drawn with or without a histogram.

Frequency Polygon: Steps to Draw

The steps to draw frequency polygon are mentioned below:

Mark the class interval values on the horizontal axis.
Mark frequencies corresponding to the class interval on the vertical axis but not on the upper or lower limit.
Mark the mid-value on the horizontal axis.
Mark the frequency of the class intervals.
Join all the points making a line segment.
The curve formed is called a frequency polygon.

Frequency Polygon: Formula

To calculate the class mark in a frequency polygon, the formula used is as follows:

Class Mark= Upper Limit + Lower Limit/ 2

Frequency Polygon: Example

An example of a frequency polygon is given below:

Example 1: In a city, the weekly observations made in a study on the cost of a living index are given in the following table: Draw a frequency polygon for the data above (without constructing a histogram).

Solution: To draw a frequency polygon without a histogram, first let us find the class marks of the classes given above, that is, 140 – 150, 150 – 160,

For 140 – 150, the upper limit = 150, and the lower limit = 140

So, the class-mark = 150 + 140 /2 = 290/ 2 = 145.

Download NCERT Solutions for Class 9 Maths Chapter 14 PDF

FAQs On Frequency Polygon

The frequently asked questions on frequency polygon are given below:

Q. What is the formula used to calculate class marks?
A. To calculate the class mark, you can use the following formula.
Class Mark= Upper Limit + Lower Limit/ 2

Q. What is frequency polygon?
A. Frequency polygons are the pictorial or graphical representation of data set.

Q. Is frequency polygon drawn with histogram?
A. No, frequency polygons can be drawn with or without histogram

Now you are provided with the detailed information on frequency polygons in this article.

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