** Definition of Frequency Polygon**

- In a Frequency Polygon, a line graph is drawn by joining all the midpoints of the top of the bars of a histogram.

**More about Frequency Polygon**

- A frequency polygon gives the idea about the shape of the data distribution.
- The two end points of a frequency polygon always lie on the x-axis.

**Example of Frequency Polygon**

- The frequency polygon shown above represents the number of vehicles that passes through a particular route in different hours. To draw the above diagram first a histogram is drawn and then a line graph is drawn through the midpoints of the top of the bars.

**Solved Example on Frequency Polygon **

The number of hours each student of a class spends for studying are 5, 8, 7, 6, 8, 8, 5, 5, 6, 5, 6, and 5 hours. Identify the frequency polygon for the given data.

Choices:

A. Figure 1

B. Figure 2

C. Figure 3

D. Figure 4

Correct Answer: A

Solution:

Step 1:The heights of the bars in the histograms indicate the number of hours that the students of a class spend.

Step 2:Observe the heights of the bars in the histograms to match with the given values.

Step 3:Compute the midpoints of the bars and draw the lines along these midpoints.

Step 4:Frequency polygon of this data will be as follows.

Step 5:So, Figure 1 represents the frequency polygon for the given data.

**Related Terms for Frequency Polygon **

- Bar Graph
- Histogram
- Line Graph