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

SAT Math· difficulty 5/5

Of these data sets (each 10 values, all with mean 50), which has the smallest standard deviation?

  • A

    {0,10,25,40,50,50,60,75,90,100}\{0, 10, 25, 40, 50, 50, 60, 75, 90, 100\}

  • B

    {20,30,40,45,50,50,55,60,70,80}\{20, 30, 40, 45, 50, 50, 55, 60, 70, 80\}

  • C

    {40,45,48,49,50,50,51,52,55,60}\{40, 45, 48, 49, 50, 50, 51, 52, 55, 60\}

  • D

    {49,49,49,49,50,50,51,51,51,51}\{49, 49, 49, 49, 50, 50, 51, 51, 51, 51\}

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Explanation

Set C has values clustered tightly around 50 (range 49-51), giving the smallest spread.

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