A variable is standardized in the sample:
A)by multiplying by its mean.
B)by subtracting off its mean and multiplying by its standard deviation.
C)by subtracting off its mean and dividing by its standard deviation.
D)by multiplying by its standard deviation.

Question

Quizplus · Accepted Answer

Standardizing a variable in a sample means converting it to a z-score, which measures the number of standard deviations a value is from the mean of the distribution. This is done by subtracting off the mean of the variable and dividing by its standard deviation. Option C is the only choice that accurately describes this process. Option A multiplies by the mean instead of subtracting it, which would not standardize the variable. Option B subtracts off the mean but does not divide by the standard deviation. Option D only multiplies by the standard deviation, which would not adjust the values relative to the mean.

A Variable Is Standardized in the Sample