LINE DIAGRAM IN STATISTICS
About "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".
Apart from the stuff given above, if you want to know more about "Line diagram in statistics", please click here
Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
