There are two ways(less than and more than) of ...



There are two ways(less than and more than) of constructing an ogive or cumulative frequency curve. The curve is usually of 'S' shape. We illustrate both methods by examples given below:

A 'less than' ogive curve for the following data:

[pic]

1)

We plot the points with coordinates having x-coordinate as actual limits and y-coordinate as the cumulative frequencies, (10, 2), (20, 10), (30, 22), (40, 40), (50, 68), (60, 90), (70, 96) and (80, 100) are the coordinates of the points.

2)

Join the points plotted by a smooth curve.

3)

An Ogive is connected to a point on the X-axis representing the actual lower limit of the first class.

[pic]

Using the data given below, construct a 'more than' cumulative frequency table and draw the Ogive.

[pic]

[pic]

1)

We plot the points with coordinates having x-coordinates as actual lower limits and y-coordinates as the cumulative frequencies,(70.5, 2), (60.5, 7), (50.5, 13), (40.5, 23), (30.5, 37), (20.5, 49),(10.5, 57), (0.5, 60) are the coordinates of the points.

2)

Join the points by a smooth curve.

3)

An Ogive is connected to a point on the X-axis representing the actual upper limit of the last class [in this case) i.e., point (80.5, 0)].

[pic]

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