LINE DIAGRAM IN STATISTICS

Line diagram in statistics :

When the data vary over time, we take recourse to line diagram. In a simple line diagram, we plot each pair of values of (t, y), "y" representing the time series at the time point t in the "t–y" plane.

The plotted points are then joined successively by line segments and the resulting chart is known as line-diagram.

Line diagram

When the time series exhibit a wide range of fluctuations, we may think of logarithmic or ratio chart where "Log y" and not "y" is plotted against "t".

We use Multiple line chart for representing two or more related time series data expressed in the same unit and multiple – axis chart in somewhat similar situations, if the variables are expressed in different units.

Line diagram - Examples

Example 1 :

The profits in thousand of dollars of an industrial house for 2002, 2003, 2004, 2005, 2006, 2007 and 2008 are 5, 8, 9, 6, 12, 15 and 24 respectively. Represent these data using a suitable diagram.

Solution :

We can represent the profits for 7 consecutive years by drawing either a line diagram as given below.

Let us consider years on horizontal axis and profits on vertical axis.

For the year 2002, the profit is 5 thousand dollars. It can be written as a point (2002, 5)

In the same manner, we can write the following points for the succeeding years.

(2003, 8), (2004, 9), (2005, 6), (2006, 12), (2007, 15) and (2008, 24)

Now, plotting all these point and joining them using ruler, we can get the line diagram.

Showing line diagram for the profit of an Industrial House during 2002 to 2008. Example 2 :

The production of wheat and rice of a region are given below : Represent the information given using a suitable diagram.

Solution :

We can represent this information by drawing a multiple line chart. Alternately, a multiple bar diagram may be considered. These are depicted in the figure given below.

Multiple line chart showing production of wheat and rice of a region during 2005–2008.

(Dotted line represent production of rice and continuous line that of wheat). After having gone through the stuff given above, we hope that the students would have understood "Line diagram in statistics".

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