medium · SAT Math

Data set A consists of the values 10, 20, 30, 40, 50. Data set B consists of the values 28, 29, 30, 31, 32. Both data sets have a mean of 30.

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

  1. Data set A has a greater standard deviation than data set B.
  2. The two data sets have the same standard deviation because they have the same mean.
  3. There is not enough information to compare the standard deviations.
  4. Data set B has a greater standard deviation than data set A.

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