medium · SAT Math

Data Set A consists of the values 12, 24, 30, 36, and 48. Data Set B consists of the values 26, 28, 30, 32, and 34. Both data sets have a mean of 30 and a median of 30.

Which of the following correctly compares the standard deviation of Data Set A with the standard deviation of Data Set B?

  1. The relationship between the two standard deviations cannot be determined from the information given.
  2. The standard deviation of Data Set A is equal to the standard deviation of Data Set B.
  3. The standard deviation of Data Set B is greater than the standard deviation of Data Set A.
  4. The standard deviation of Data Set A is greater than the standard deviation of Data Set B.

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