Question

What is the benefit of working with data in its original state versus converting it to standardized data?

Answer 1

The benefit of working with data in its original state (X) versus converting it to standardized data ((X-mean(X))/SD(X))

1) Standardized data are unit free while original state data are not. Hence it is more preferable and valid while it comes to comparing of data from two or more than two places.

2) Usually the standardized data asymptotically follows standard normal distribution (specially those which follows a population with finite mean and variance) which is a non parametric distribution and hence it is easier to use this fact for further testing or comparison.

3) Usually the stadardized data takes value between -3 to 3 with 99.7% probability which is very high. The rest of values resides pretty close to them if the data are free of outlier. So however high the values of data be by standardization we can collect them between a smaller range of values [-3,3] which is easier to work and interpret.

4) The only thing that is positive for original state data that it never loses the original values in getting indexed within a standardized range. SO they are actually showing the true change of data and especially they are appropriate to use in graphs to explain the data change and the fluctuations. Though in some cases like quality control standardized data are also used

Hence the answer..............

Thank you.............