Comparing Distributions of a Quantitative Variable

AP Statistics· difficulty 4/5

Boxplots compare reaction times of younger (Y) and older (O) participants.

Boxplots: Reaction Times Y O

Which statement is best supported?

  • A

    Younger participants are slower on average

  • B

    Older participants are slower on average and more variable

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  • C

    Older participants are faster but more variable

  • D

    Both groups have identical centers

Explanation

O's median is to the right (slower) of Y's, and O's box and whiskers span more — slower and more variable.

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