medium · SAT Math
Two data sets each contain five values. Set A is 10, 12, 14, 16, 18 and Set B is 4, 9, 14, 19, 24. Both sets have a mean of 14.
Which statement correctly compares the standard deviations of the two sets?
- Set A has the greater standard deviation because its values are packed closer together.
- Set B has the greater standard deviation because its values lie farther from the mean.
- The standard deviations are equal because the two sets have equal means.
- The comparison cannot be made without computing each standard deviation with the formula.
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