Friday, 27 April 2012

Standard distributions

Standard Distributions is defined as a value, which is greater than mean of whole distribution in the given data set and we use following formula for evaluation of Standard Distribution, for more information try this
 Standard Distribution = (X – μ) / σ,
Here ‘X’ refers to score value, which is produce by normal distribution, ‘μ’ is the mean value of the original normal distribution and ‘σ’ is the standard deviation of original normal distribution.
This standard distribution of group value sometimes called as a z score distribution like we have a group of students and they all give a math test. Also you can try Z Score Table Normal Distribution
One person get 70 score in that math test with a mean of 50 and standard deviation of 10, then question arises that what is standard distribution of these group of students. So, for standard distribution or z distribution, we use above formula –
Standard Distribution = (X – μ) / σ
= > S = (70 – 50) / 10,
= > S = 20 / 10,
= > S = 2,
So, standard or z distribution of this group of class is 2 and this standard distribution score suggest that there are 2 standard deviation, whose value are greater than mean value of original distribution. Z distribution or standard distributions are called as a normal distribution, if value of original distribution is normal.
Therefore for calculation of standard distribution, we use following steps–
Step 1: First we calculate original score means value of X, like value of X is equals to 60.
Step 2: After evaluation of original score, now we calculate mean of original distribution mean value of μ.
Step 3: After first 2 steps, now calculate standard deviation of original distribution mean value of σ.
Step 4: after first 3 steps, now we apply following formula–
Standard Distribution = (X – μ) / σ,
This formula produces the value of standard distribution.


In upcoming posts we will discuss about Methods of data representation and Justify the Pythagorean identities. Visit our website for information on secondary education Karnataka

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