Discuss the difference and similarity between percentile and standard score norms.

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FieniChoonin · Accepted Answer

Step 1  Difference between percentile and standard normal score:  Percentile:  The percentiles divide the given distribution into 100 equal parts. Hence, there are 99 cut points. Thus, the percentiles is known as 100-quantile.  Standard normal score:  A Standard normal score represents the number of standard deviations from the mean. It is also called standardized score.  -If the z-score takes positive value when it is above the mean.  -If the z-score takes negative value when it is below the mean.  Formula for z score for raw data is,  z=X−μσ  Here, z is a standard normal variable, X is a normal random variable with mean μandstan⁡darddeviationσ.  Step 2 Similarities:  Standard normal score measures how an observation is relative to the population mean using the population standard deviation in order to define a scale. In similar way, percentile uses median as the average.

Discuss the difference and similarity between percentile and standard score norms.

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