Comparing Distributions of a Quantitative Variable

AP Statistics· difficulty 3/5

Two boxplots show data sets X and Y with the same median.

Boxplots X Y

Which has greater IQR?

  • A

    Y (longer box)

    check_circle
  • B

    Cannot tell

  • C

    X (longer box)

  • D

    Equal

Explanation

The IQR equals the length of the box. Y's box is wider than X's, so Y has the larger IQR.

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