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.

Method of Constructing a Frequency Polygon with the Help of a Histogram

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.




10th Grade Math

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.



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.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Addition of Mass | Word problems on Addition of Mass

    Nov 13, 24 10:24 AM

    Practice the third grade math worksheet on addition of mass/weight. This sheet provides different types of questions where you need to arrange the values of mass under different columns

    Read More

  2. Worksheet on Addition of Length | Word Problems on Addition of Length

    Nov 13, 24 09:23 AM

    Practice the third grade math worksheet on addition of length. This sheet provides different types of questions where you need to arrange the values of length under different columns to find their sum

    Read More

  3. Addition of Mass |Add the Different Units of Mass |Worked-out Examples

    Nov 12, 24 01:36 PM

    Adding Weight
    In addition of mass we will learn how to add the different units of mass or weight together. While adding we need to follow that the units of mass i.e., kilogram and gram are converted into grams

    Read More

  4. Measuring Mass | Addition and Subtraction of Mass | Measure of Mass

    Nov 12, 24 12:07 PM

    Standard Units to Measure Weight
    We will discuss about measuring mass. We know the vegetable seller is weighing potatoes in kilogram. The goldsmith is weighing a ring in grams. The wheat bags are weighing in quintals.

    Read More

  5. Subtraction of Length | Learn How the Values of Length are Arranged

    Nov 11, 24 02:08 PM

    Subtraction of Length
    The process of subtraction of units of length is exactly similar to that of subtraction of ordinary numbers. Learn how the values of length are arranged in different columns for the subtraction of len…

    Read More