medium · SAT Math

Data set A consists of the values 4, 5, 6, 7, 8. Data set B consists of the values 2, 4, 6, 8, 10. Both data sets have a mean of 6 and contain 5 values.

Which statement correctly compares the standard deviations of the two data sets?

  1. The standard deviations are equal because the two data sets have the same number of values.
  2. The standard deviation of data set B is greater than that of data set A.
  3. The standard deviations are equal because the two data sets have the same mean.
  4. The standard deviation of data set A is greater than that of data set B.

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