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Worksheet with four statistics problems focusing on weighted mean, average balance, average salary, and mean grade point score.

A worksheet titled "Intro to Statistics Weighted Mean Worksheet 1" with four problems involving weighted mean calculations, average balance, average salary, and mean grade point score.

A worksheet titled "Intro to Statistics Weighted Mean Worksheet 1" with four problems involving weighted mean calculations, average balance, average salary, and mean grade point score.

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Show Answer Key & Explanations Step-by-step solution for: Weighted Means Worksheet 1
1. Weighted Mean = (60 * 0.05) + (75 * 0.35) + (80 * 0.20) + (70 * 0.15) + (62 * 0.25) = 3 + 26.25 + 16 + 10.5 + 15.5 = 71.25

2. Total days in April = 30. Weighted Mean Balance = (700 * 24 + 1215 * 2 + 375 * 4) / 30 = (16800 + 2430 + 1500) / 30 = 20730 / 30 = $691

3. Total employees = 25. Weighted Mean Salary = (8 * 55500 + 17 * 33000) / 25 = (444000 + 561000) / 25 = 1005000 / 25 = $40,200

4. Total credits = (2 * 3) + (1 * 2) + (1 * 3) + (1 * 4) = 6 + 2 + 3 + 4 = 15. Weighted Mean GPA = (2 * 3 * 4 + 1 * 2 * 3 + 1 * 3 * 1 + 1 * 4 * 2) / 15 = (24 + 6 + 3 + 8) / 15 = 41 / 15 ≈ 2.73
Parent Tip: Review the logic above to help your child master the concept of weighted average worksheet with answers.
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