Frequency Curve – Diagrammatic and Graphical Representation of Data

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Reference Notes
Unit: Statistics | Economics
Frequency Curve
Graphs of Frequency Distribution
Management: Class 11

Frequency Curve
If we join the vertices of the frequency polygon by freehand, then the curve so drawn is called frequency curve. It is a smooth and regular curve without any sharp turns. The area under the frequency curve, frequency polygon and histogram should be equal. It should be carefully drawn.

Example:

Marks5 – 1010 – 1515 – 2020 – 2525 – 30
No. of students25483

Ogive or cumulative frequency curve:
There are two types of cumulative frequency curves.

a) “Less than” cumulative frequency curve: these curves are drawn by using the “less than” values of the variable and their corresponding frequencies in “less than” cumulative distribution of data.

Example:
Draw the “less than” frequency curve of the following data:

Price of shares (Rs.)50 – 100100 – 150150 – 200200 – 250250 – 300300 – 350
No. of shares15202221105

Solution:
Converting the data into “less than” frequency

Price of share (Rs.)Cumulative frequency
Less than 10015
Less than 15035
Less than 20057
Less than 25078
Less than 30088
Less than 35093

b) “More than” cumulative frequency curve: These curves are drawn by using the more than values of the variables and their corresponding frequencies in “more than” cumulative distribution of data.

Example:
“More than” frequency of the above share data is

Price of share (Rs.)Cumulative frequency
More than 5093
More than 10078
More than 15058
More than 20036
More than 25015
More than 3005

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