Tuesday, June 29, 2010

Concepts of Ogive or S shaped curve

Introduction:
             The scientific methods of collection of data, its classification and application to commerce and everyday life is called statistics.
Graphical Representation:
     There are various methods of graphical representation of statistical data. In our study, we learn only two types. (i) Histogram (ii) Ogive or Cumulative Frequency Curve.
Ogive (Cumulative Frequency Curve):
     A plot of the cumulative frequency against the upper class boundary with the points joined by line segments. Any continuous cumulative frequency curve, including a cumulative frequency polygon, is called an ogive. There are two ways of constructing an ogive or cumulative frequency curve. (Ogive is pronounced as O-jive). The curve is usually of 'S' shape.
Summary:
     1. Two types of graphical representation of data are the histogram and the ogive.
     2. A histogram is a diagram which represents the class interval and frequency in the form of a rectangle.
     3. An ogive or a cumulative frequency curve is a 's' shaped curve. Points on the ogive have abscissae as the actual upper / lower limits for 'less than' / more than curve and ordinates as the cumulative frequencies.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.

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