Average & Weighted Mean Calculator
Calculate arithmetic mean, median, mode, standard deviation, and weighted averages.
Examples:
Detailed Statistical Metrics
Median
25
Mode
25
Range (Max-Min)
50
Std Dev (σ)
16.48
Sum / Total
195
Count (N)
7
Minimum
10
Maximum
60
Calculated Average
Arithmetic Mean (Average)
27.86
Sum: 195 ÷ Count: 7
Related Math Tools
Average Formulas & Concepts
Arithmetic Mean
Calculated by adding all values and dividing by the total count:
x̄ = (x₁ + x₂ + ... + xₙ) / n
Weighted Average
When some numbers hold more importance or weight than others:
x̄_w = (w₁x₁ + w₂x₂ + ... + wₙxₙ) / (w₁ + w₂ + ... + wₙ)
Frequently Asked Questions (FAQs)
When should I use median instead of mean?
The median is preferred when a dataset contains extreme outliers or is heavily skewed (such as real estate house prices or household incomes), because a few very large numbers can distort the mean.
Can a dataset have more than one mode?
Yes, if two or more values share the highest frequency, the dataset is bimodal or multimodal. If every number appears only once, there is no mode.