Karnataka SSLC Karnataka Secondary Education Examination Board
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Graphical Representation of Cumulative Frequency Distribution

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In this concept we will study about Relation of Ogive and Median. These graphical representation of the frequency distribution are called Ogives. Actual limits are on the x-axis and cumulative frequencies on the y-axis.

Ogive is also known as cumulative frequency distribution.

You will be asked to draw either a less than frequency ogive or more than frequency ogive.

Example: The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution :

Convert the distribution above to a less than type cumulative frequency distribution and also to a more than type cumulative frequency distribution, and draw its ogive.

1) Less than type cumulative frequency table

Classes

cf

Less than 10

2

Less than 15

14

Less than 20

16

Less than 25

20

Less than 30

23

Less than 35

27

Less than 40

30

 

2) More than type cumulative frequency table

Classes

cf

More than 5

30

More than 10

28

More than 15

16

More than 20

14

More than 25

10

More than 30

7

More than 35

3

The graphical representation of both the ogives will be

Here, `N/2= 30/2= 15`

 

Now, we will take 15 on y axis and draw a perpendicular line that touches the curve, and from the point where the perpendicular touches the curve draw a perpendicular that touches the x axis, the point at which the perpendicular touches the x axis is the median.

Thus, here the Median is 17.5

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