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# In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 25% of your total grade, each major test is worth 22.5%, and the final exam is worth 30%. Compute the weighted average for the following scores: 92 on the lab, 81 on the first major test, 93 on the second major test, and 85 on the final exam.

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The weighted mean is the sum of the products of the values and their weights, divided by the sum of the weights.

The weights are the given percentages (rewritten as decimals).

$\overline{x}=\dfrac{\sum x\cdot w}{\sum w}=\dfrac{92(0.25)+81(0.225)+93(0.225)+85(0.30)}{0.25+0.225+0.225+0.30}=87.65$

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