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 mean weight of the boxes of cereal. (Round your answer to three decimal places

x =

Weight (ounces) Number of Boxes

15.3 x <15.6 12

15.6 x <15.9 22

15.9 x <16.2 83

16.2 x <16.5 19

16.5 x <16.8 14