To study the output of a machine that fills boxes with cereal, a quality control engineer weighed 150 boxes of Brand X cereal. The frequency distribution in the following table summarizes his findings. Find the standard deviation of the weight of the boxes of cereal. (Round your answer to three decimal places.) oz x = Weight (ounces) 15.3 ≤ x < 15.6 15.6 x 15.9 15.9 ≤ x < 16.2 16.2 ≤ x 16.5 16.5 x < 16.8 Number of boxes 11 26 88 16 9

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