Average Calculator – Mean, Median, and Mode
Calculate the mean, median, and mode for any set of numbers. Also computes range and standard deviation — essential statistics for data analysis.
Related Calculators
Mean, Median, and Mode — When to Use Each
The mean (arithmetic average) is sensitive to outliers. One extreme value can skew it significantly. The median (middle value when sorted) is more robust to outliers — used in income statistics where a few billionaires would distort the mean. The mode (most frequent value) is used for categorical data like most common shoe size.
Standard Deviation Explained
Standard deviation measures how spread out values are around the mean. A low SD means data points cluster close to the mean. A high SD means wide dispersion. In a normal distribution, 68% of values fall within 1 SD of the mean, 95% within 2 SD, 99.7% within 3 SD (the 68-95-99.7 rule).
Weighted Average
A weighted average gives different importance to different values. GPA calculation is a weighted average — a 4-credit course influences GPA more than a 1-credit course. To calculate: multiply each value by its weight, sum the products, divide by the sum of all weights.