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What effect does standardizing into z-scores have on the center (mean) of a variable?
Expert Answer
What is Z-score and standardized variables:
Z-score:
The Z-score measures a particular value’s relationship to the mean in a group of values. It gives the number of standard deviation from the mean for the particular data point.
The general formula to obtain Z-score is,
Z = (x – population mean) / population standard deviation.
Standardized variables:
Standardized variables are the variables which are rescaled using the Z-score and these variables will have mean 0 and standard deviation 1.
Find the effect of standardizing into z-scores on the centre of a variable:
From the definition of z-score and standardized variables, it is known that the mean of the standardized variable will be equal to “0”.
That is, standardizing into z-sc...
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