Average Calculator
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Result
About Averages
Arithmetic Mean
The arithmetic mean is the sum of all numbers divided by the count of numbers.
Mean = (x₁ + x₂ + ... + xₙ) / n
Weighted Average
The weighted average takes into account the importance (weight) of each value.
Weighted Average = (x₁w₁ + x₂w₂ + ... + xₙwₙ) / (w₁ + w₂ + ... + wₙ)
Properties
- Arithmetic mean is sensitive to outliers
- Weighted average gives more importance to certain values
- Both methods are commonly used in statistics and data analysis
Example Problems
Example 1: Arithmetic Mean
Find the mean of: 5, 7, 9, 11
Mean = (5 + 7 + 9 + 11) / 4
Mean = 32 / 4 = 8
Example 2: Weighted Average
Test scores with weights:
Test 1: 85 (weight: 0.3)
Test 2: 90 (weight: 0.4)
Test 3: 95 (weight: 0.3)
Weighted Average = (85×0.3 + 90×0.4 + 95×0.3) / (0.3 + 0.4 + 0.3)
Weighted Average = 90
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