Weighted Average
Calculate the weighted average of two values
Interactive Sandbox
Adjust values in real-time and observe mathematical cause-and-effect
Central Tendency & Dispersion: Measures the central average (mean) and spread of variability (standard deviation).
Variable Mechanics
Roles, constraints & impacts
First Value
Formula Parameter
First Weight
Formula Parameter
Second Value
Formula Parameter
Second Weight
Formula Parameter
At a Glance
Gotchas, units & real-world use
Formula Nature & Mechanics
Central Tendency & Dispersion: Measures the central average (mean) and spread of variability (standard deviation).
Common Mistakes & Traps
- Confusing Population Standard Deviation (divide by N) with Sample Standard Deviation (divide by n - 1 for Bessel correction).
- Assuming all distributions are normal (skewed distributions make the median more reliable than mean).
- Outliers disproportionately distort the mean and variance.
Dimensional Analysis & Units
Mean & SD share the same unit as original data; Variance is in [Unit]².
Real-World & Industry Application
Quality control tolerances in manufacturing, stock market volatility metrics, clinical medical trials, and academic grading curves.
Worked Example: Weighted Average
Given:
- v1 = 80
- w1 = 2
- v2 = 90
- w2 = 3
- = (80×2 + 90×3) / (2 + 3)
- = (160 + 270) / 5
- = 430 / 5
- = 86
Answer: 86
Frequently Asked Questions
What is the Weighted Average formula?
Weighted Average = (v₁w₁ + v₂w₂) / (w₁ + w₂). Calculate the weighted average of two values.
How do I calculate Weighted Average?
Enter First Value (v1), First Weight (w1), Second Value (v2), Second Weight (w2) into the calculator. It applies Weighted Average = (v₁w₁ + v₂w₂) / (w₁ + w₂) and shows every step of the working.
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