Standardizing Normal Variables

Suppose we have a normal population. We can represent it by a normal variable X. Further, we can convert any value of X into a corresponding value Z of the standard normal variable, by using the formula 

Where,

         X       =    the value of any random variable

         m       =   the mean of the distribution of the random variable

         s       =    the standard deviation of the distribution

         Z       =   the number of standard deviations from X to the mean of the distribution and is 
                       known as the Z score or standard score.