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Construction of a Histogram of a Continuous Grouped Frequency Distribution with Unequal Class Interval.

Procedure to Construct :-
1. Take a graph and draw two perpendicular lines. Mark them as OX and OY.

2. Take horizontal line OX as x-axis and vertical line OY as y-axis.

3. Choose suitable scale for class intervals on x-axis and represent class limits.

 

4. Choose a suitable scale along y-axis to represent frequencies.

5. Construct rectangle with class intervals as base and heights proportional to the frequencies

 

Example
 

Following are the ages of 180 patients getting medical treatment in a hospital on a day.
 

Age (in years)

0-5

5-10

10-20

20-30

30-40

40-60

60-80

No of patients

25

25

20

30

20

40

20


Represent the above datas by histograms.
 

Solution

In this example the class intervals are not equal. The minimum class interval is 5-0 = 5. The maximum class size is 20. We shall find the adjustable frequency by the formula as follows.

Adjusted frequency of a class =  × class frequency

Adjusted frequencies of the data will be :
 

Age of (in years)

No. of patients

Adjusted frequency

0 - 5

25

× 25 = 25

5 - 10

25

× 25 = 25

10 - 20

20

× 20 = 10

20 - 30

30

× 30 = 15

30 - 40

20

× 20 = 10

40 - 60

40

× 40 = 10

60 - 80

20

× 20 = 5

 

 

 

 





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