Weighted Averages AMDM NIX

Front

What is a weighted average?

Back

A weighted average is an average that takes into account the relative importance or weight of each value in a dataset.

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How do you calculate a weighted average?

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Multiply each value by its corresponding weight, sum up the results, and then divide by the sum of the weights.

Front

If a student's test scores are weighted 40% for tests, 30% for quizzes, and 30% for homework, and the student scores 80% on tests, 90% on quizzes, and 95% on homework, what is the student's weighted average?

Back

87.5

Front

A student's final grade is calculated based on tests, projects, and homework. Tests are weighted 50%, projects are weighted 30%, and homework is weighted 20%. If a student scores 80% on tests, 90% on projects, and 95% on homework, what is the student's weighted average grade?

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86

Front

What is the formula for calculating the weighted average?

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Weighted Average = (Value1 * Weight1 + Value2 * Weight2 + ... + ValueN * WeightN) / (Weight1 + Weight2 + ... + WeightN)

Front

A student's final grade is calculated based on tests, assignments, and class participation. Tests are weighted 50%, assignments are weighted 30%, and class participation is weighted 20%. If a student scores 90% on tests, 85% on assignments, and 80% on class participation, what is the student's weighted average grade?

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86.5

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What is the significance of weights in a weighted average?

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Weights determine the influence of each value on the overall average, allowing for a more accurate representation of the data.

Front

A company produces three products: product A, product B, and product C. The profit margins for these products are 10%, 15%, and 20% respectively. If the company sells 100 units of product A, 200 units of product B, and 150 units of product C, what is the weighted average profit margin?

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15.56

Front

What is the weight of a component in a weighted average?

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The weight of a component is the proportion of that component's contribution to the total, often expressed as a percentage.

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Why is it important to use weighted averages in real-world applications?

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Weighted averages provide a more accurate measure of central tendency when data points have different levels of significance.