Subject: Mathematics
Book: Maths Mastery
A weighted average accounts for varying importance (weights) of different data points. The formula is Σ(value × weight) ÷ Σ(weight). For example, if exam 1 is worth 30% and exam 2 is worth 70%, with scores of 80 and 90, respectively, the weighted average is (80×0.3 + 90×0.7) = 24 + 63 = 87. Weighted averages are prevalent in GPA calculations, composite ratings, and financial indexes. They allow more significant or influential components to sway the overall average accurately. Proficiency with weighting data fosters a fair representation of complex datasets in real-world analysis.
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