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Comparing Distributions of a Quantitative Variable

AP Statistics· difficulty 3/5

Histograms A and B both have the same mean.

Two Histograms A B

Comparing the two distributions, which has a smaller standard deviation?

  • A

    A (more concentrated near center)

  • B

    B (more concentrated near center)

    check_circle
  • C

    Cannot tell

  • D

    Both have equal SD

Explanation

Distribution B has more mass piled at the center with thinner tails, indicating less spread and a smaller SD.

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