Tuesday 24 April 2012

standard deviation

standard deviation is defined for the given set of data in which data is spread or it is also called as data is distributed in the data set .It is defined for the distributed data set for defining the diversity of the set of data .standard deviation is the part of statistics in which we can understand that how data is deviated from its mean value or sometimes it will be denoted as the average value. You can also find the standard deviation for the given probability distribution.
According to definition of standard deviation which is given in cbse text books, it will used for finding the deviation of the data in the data set from the standard average value or mean value for that set of data .It will defined the dispersion of the data in form of variance that is sometimes called as the populated standard deviation .
sigma symbol (s) is used for specify the standard deviation and it is known as known as the standard deviation and there is one more way for defining the standard deviation that is square root of variance and it will be define as the (s 2) .
We can understand the standard deviation by specific expression that helps to understand the standard deviation very effectively:
If there in the data set a random variable (a) , for that mean value is define as m and it is denoted as in form of average or mean E | a | = m .
Where E denotes the average value of a .
so the formula for standard deviation is that is based on the mean value E is defined as
( s ) = √ E (a - m ) 2 .
Standard deviation is also expressed by formula of variance that is defined as square root of the variance and In the next session we will discuss about mode and you can also take chemistry tutoring from our website.


No comments:

Post a Comment