One-Variable Data: Distributions and Measures of Center and Spread

SAT Math· difficulty 5/5

A data set has mean 20 and SD 4. If every value is multiplied by 3, what are the new mean and SD?

  • A

    Mean 20, SD 12

  • B

    Mean 60, SD 4

  • C

    Mean 60, SD 36

  • D

    Mean 60, SD 12

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Explanation

Multiplying by kk multiplies both mean and SD by k|k|. Mean: 20×3=6020 \times 3 = 60; SD: 4×3=124 \times 3 = 12.

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