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) Number of boxes 15.3 ≤ x < 15.6 11 15.6 ≤ x < 15.9 24 15.9 ≤ x < 16.2 85 16.2 ≤ x < 16.5 17 16.5 ≤ x < 16.8 13

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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)
Number of
boxes
15.3 ≤ x < 15.6 11
15.6 ≤ x < 15.9 24
15.9 ≤ x < 16.2 85
16.2 ≤ x < 16.5 17
16.5 ≤ x < 16.8 13
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