A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.

Following is the frequency distribution of total marks obtained by the students of different sections of Class VIII.
Marks 100 - 150 150 - 200 200 - 300 300 - 500 500 - 800
Number of students 60 100 100 80 180
Draw a histogram for the distribution above.

Solution:

Given, the table represents the frequency distribution of total marks obtained by the students of different selections of Class VIII.

We have to draw a histogram for the above distribution.

We observe that the class intervals of the frequency distribution are not of equal width.

We have to make modifications in the lengths of the rectangles in the histogram, so that the areas of rectangles are proportional to the frequencies.

Adjusted frequency of a class=(Minimum class size / Class size of that class) × Frequency of the class

Minimum class size = minimum class interval = 50

Marks Frequency Class interval Length of the rectangle
100 - 150 60 50 (50/50) × 60 = 60
150 - 200 100 50 (50/50) × 100 = 100
200 - 300 100 100 (50/100) × 100 = 50
300 - 500 80 200 (50/200) × 80 = 20
500 - 800 180 300 (50/300) × 180 = 30

Now, draw the histogram with the following data

Marks Length of the rectangle
100 - 150 60
150 - 200 100
200 - 300 50
300 - 500 20
500 - 800 30

Following is the frequency distribution of total marks obtained by the students of different sections of Class VIII. Marks 100 - 150 150 - 200 200 - 300 300 - 500 500 - 800 Number of students 60 100 100 80 180. Draw a histogram for the distribution above

Therefore, the histogram for the distribution is shown above.

✦ Try This: Following is the frequency distribution of total marks obtained by the students of different sections of Class X.

Marks 100 - 150 150 - 200 200 - 300 300 - 500 500 - 800
Number of students 80 200 200 90 150

Draw a histogram for the distribution above.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.4 Sample Problem 1

Following is the frequency distribution of total marks obtained by the students of different sections of Class VIII. Marks 100 - 150 150 - 200 200 - 300 300 - 500 500 - 800 Number of students 60 100 100 80 180. Draw a histogram for the distribution above.

Summary:

The frequency distribution of total marks obtained by the students of different sections of Class VIII is given in the table. The histogram for the given distribution is shown above

☛ Related Questions:

Math worksheets and
visual curriculum