Which term describes a distribution obtained by transforming values to z-scores?

Which term describes a distribution obtained by transforming values to z-scores?

• A. Standardized Distribution
• B. Probability
• C. Normal Distribution
• D. Unit Normal Table

Answer: (A)

Standardizing data by converting to z-scores. When you compute z = (x − mean) / standard deviation, you shift the data so the center is at zero and rescale so the spread is one. The resulting collection of values is described as a standardized distribution. If the original data were drawn from a normal distribution, these standardized values follow the standard normal distribution, which has mean 0 and standard deviation 1. The standard normal table is a reference for probabilities of that standard distribution, not the distribution itself. The term standardized distribution captures the outcome of the transformation to a common scale.

Standardizing data by converting to z-scores. When you compute z = (x − mean) / standard deviation, you shift the data so the center is at zero and rescale so the spread is one. The resulting collection of values is described as a standardized distribution. If the original data were drawn from a normal distribution, these standardized values follow the standard normal distribution, which has mean 0 and standard deviation 1. The standard normal table is a reference for probabilities of that standard distribution, not the distribution itself. The term standardized distribution captures the outcome of the transformation to a common scale.