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PAGE THREE

A Basic Guide to Statistics

by Jonathan Dolhenty, Ph.D.

 

Graphic Representation

Graphic representation is often of great help in enabling us to understand the essential features of frequency distributions and in comparing one frequency distribution with another.

A graph is a geometrical image of a set of data, a mathematical picture if you will. We can think about a problem in visual terms. Many problems can be reduced to visual form. These visual forms are often presented to us in the media to help us in understanding a set of measurements, a group of statistical data.

We will consider here only a few of the more common types of graphic representations.

The Histogram

The histogram is a graph in which the frequencies are represented by area in the form of bars. The diagram below shows you an example of one such histogram and explains its parts.

The Frequency Polygon

The frequency polygon is a graph in which the frequencies are represented by straight lines connecting points located above the midpoints of the intervals at heights corresponding to the frequencies. The diagram below shows you an example of one such frequency polygon and explains its parts.

The Cumulative Frequency Polygon

The drawing of a cumulative frequency polygon differs from that of a frequency polygon in two respects.

First, instead of plotting points corresponding to frequencies, we plot points corresponding to cumulative frequencies.

Second, instead of plotting points above the midpoint of each interval, we plot our points above the top of the exact limits of the interval.

This is done because we want our graph to visually represent the number of observations falling above or below particular values.

The diagram below shows you an example of a cumulative frequency polygon and explains its parts.

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