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

SAT Math· difficulty 4/5

A list of 7 values has median 18. The values 12 and 24 are added. What is true about the new median?

  • A

    It must increase.

  • B

    Cannot be determined without more info.

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  • C

    It stays at 18.

  • D

    It must decrease.

Explanation

Adding one value below and one above the median (12 < 18 < 24) shifts surrounding positions but the new median's specific value depends on adjacent values. Cannot pinpoint without more data.

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