ACT Math · Statistics and data analysis
What is the population standard deviation of the data set 4, 8, 6, 10, 12? (Round to the nearest hundredth.)
What is the population standard deviation of the data set 4, 8, 6, 10, 12? (Round to the nearest hundredth.)
Answer and explanation
Answer: G: 2.83
First find the mean: . The squared deviations from the mean are , which sum to and average to . The standard deviation is , choice G. Choice H () is the variance, not its square root. Choice J () divides the sum of squares by instead of , which is the sample standard deviation formula. Choice F () is not the result of either calculation. The ACT treats a data set given in full as the population.
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