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

SAT Math· difficulty 4/5

Which of the following data sets has the largest standard deviation?

  • A

    {8,9,10,11,12}\{8, 9, 10, 11, 12\}

  • B

    {10,10,10,10,10}\{10, 10, 10, 10, 10\}

  • C

    {1,5,10,15,19}\{1, 5, 10, 15, 19\}

    check_circle
  • D

    {5,7,10,13,15}\{5, 7, 10, 13, 15\}

Explanation

Standard deviation measures spread around the mean. The set {1,5,10,15,19}\{1, 5, 10, 15, 19\} is most spread out from the mean of 10, giving the largest SD.

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