Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

A data set is standardized by subtracting the mean and dividing by the standard deviation.

Standardized Distribution −1 0 1 μ = ?, σ = ?

What are the mean and SD of the standardized data?

  • A

    Mean 0, SD 1

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  • B

    Both equal to original mean

  • C

    Mean 1, SD 0

  • D

    Mean original, SD 1

Explanation

Standardizing always produces a distribution with mean 0 and SD 1, regardless of the original data.

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