Wednesday 25 April 2012

dispersion

Dispersion, according to Gujarat education board, is the name of the method that is used for finding the difference between the maximum and minimum value that is also defined in terms of range, means if we want to define the range of set of values then it can be denoted as:

range = maximum value - minimum value that is also explained through the example as if there is variable that is denoted as v and it has three different values that are 50 , 51 and 53 then the range for the variable v is defined as the range = maximum value - minimum value
Range = 53 – 51
Range = 2 .
There is one another example in which value of variable v are randomly chosen that are 45 , 76 , 95 then the range defined for the variable v = maximum value - minimum value
Range = 95 – 45
Range = 50
So by using the above two examples we can define dispersion as in the very first example there is little dispersion in the values but in the later example dispersion is bigger in the values.
If we talk about the different types of dispersion than there are basically three types are defined that are IQR (Interquartile range) that defined as IQR = Q3-Q1 that is a process for elimination .IQR is come in existence to overcome the effect of outliers on the range.
Another method of dispersion is Standard Deviation that is more use than any other of dispersion method. Standard deviation is calculated by the variance and it is denoted by sigma (σ2) and the expression is denoted as σ2 = ∑ (X – μ )/ N and Standard deviation ( σ ) is σ = ∑ [(X - μ)/ N ]1/2

In upcoming posts we will discuss about Correlation coefficient and area of an ellipse calculator. Visit our website for information on Binomial Probability Formula

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