Method of Constructing a Frequency Polygon with the Help of a Histogram
We will discuss about the method of constructing a frequency polygon with the help of a histogram.
Step I: Draw the histogram for the frequency distribution as explained above.
Step II: Locate the midpoint of the top horizontal side of each rectangle in the histogram.
Step III: Locate the middle points on the horizontal axis of two imaginary intervals of common size, one before the first class interval and the other after the last class interval.
Step IV: Join all the above midpoints by line segments one after the other in order.
Example: Draw the frequency polygon for the following frequency distribution.
Marks Obtained
Under 20
Under 40
Under 60
Under 80
Under 100
Number of Students
6
10
20
36
50
Solution: Changing the distribution into a continuous distribution of overlapping intervals, we have the following table.
Marks Obtained
0 - 20
20 - 40
40 - 60
60 - 80
80 - 100
Number of Students
6
4
(10 - 6)
10
(20 - 10)
16
(36 - 20)
14
(50 - 36)
The histogram of the distribution is shown in the adjacent figure.
Following steps II, III and IV, the frequency polygon will be as shown alongside.
Scale: On the x-axis, 1 cm = 20 marks.
On the y-axis, 2 mm = 1 student.
From Method of Constructing a Frequency Polygon with the Help of a Histogram to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Word Problems on Area and Perimeter | Free Worksheet with Answers
Jul 26, 24 04:58 PM
word problems on area and perimeter -
Worksheet on Perimeter | Perimeter of Squares and Rectangle | Answers
Jul 26, 24 04:37 PM
Practice the questions given in the worksheet on perimeter. The questions are based on finding the perimeter of the triangle, perimeter of the square, perimeter of rectangle and word problems. I. Find… -
Perimeter and Area of Irregular Figures | Solved Example Problems
Jul 26, 24 02:20 PM
Here we will get the ideas how to solve the problems on finding the perimeter and area of irregular figures. The figure PQRSTU is a hexagon. PS is a diagonal and QY, RO, TX and UZ are the respective d… -
Perimeter and Area of Plane Figures | Definition of Perimeter and Area
Jul 26, 24 11:50 AM
A plane figure is made of line segments or arcs of curves in a plane. It is a closed figure if the figure begins and ends at the same point. We are familiar with plane figures like squares, rectangles… -
5th Grade Math Problems | Table of Contents | Worksheets |Free Answers
Jul 26, 24 01:35 AM
In 5th grade math problems you will get all types of examples on different topics along with the solutions. Keeping in mind the mental level of child in Grade 5, every efforts has been made to introdu…
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.