Math & Education

Average Calculator

Calculate mean, median, and mode

Calculator

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How to Use

Calculate mean, median, and mode

1

Enter values

Input your list of numbers

2

Add weights

Optionally add weights for weighted average

3

View results

See mean, median, and mode

4

See statistics

View range, sum, and count

Average Formulas

Mean = Σx / n
Median = middle value (or avg of middle two)
Mode = most frequent value

Mean is arithmetic average, median is middle when sorted, mode is most common.

Frequently Asked Questions

Mean is the arithmetic average (sum ÷ count). Median is the middle value when sorted. Mode is the most frequent value. For [1,2,2,3,10]: mean=3.6, median=2, mode=2. Median is better when outliers exist.

Multiply each value by its weight, sum results, divide by sum of weights. Values [80, 90, 70] with weights [3, 2, 1]: (80×3 + 90×2 + 70×1) / (3+2+1) = (240+180+70)/6 = 81.67.

Use median when data has outliers or is skewed. Example: incomes of $30K, $40K, $50K, $60K, $1M. Mean = $236K (misleading), Median = $50K (representative). Median is robust to extreme values.

Geometric mean = nth root of the product of n values. Used for growth rates and ratios. If investment returns were 10%, -5%, 15%: geometric mean = ³√(1.1×0.95×1.15) - 1 = 6.3%, not arithmetic 6.67%.

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