A practitioner uses PROC STDIZE with METHOD=RANGE to standardize a variable with min=10 and max=90. After standardization, a raw value of 50 maps to what standardized value?
Select an answer to reveal the explanation.
Short Explanation
Here's the deal — you get 0.5 because PROC STDIZE with METHOD=RANGE uses (raw value - min) / (max - min), which maps values to [0,1]. For 50, (50-10)/(90-10) = 40/80 = 0.5.
Full Explanation
The standardized value 0.5 is correct because PROC STDIZE with METHOD=RANGE uses (raw value - min) / (max - min), mapping values to [0,1]. For 50: (50-10)/(90-10) = 40/80 = 0.5. The option giving 0.625 by dividing the midpoint by the range is wrong; METHOD=RANGE does not divide the midpoint by the range. The option giving 0.0 by centering with the mean and dividing by the range is wrong; centering by the mean is METHOD=MEAN, and 0.0 occurs only at the minimum under METHOD=RANGE. The option giving 1.0 because 50 is the median is wrong; METHOD=RANGE does not normalize to the median, and 1.0 occurs only at the maximum.