Arithmetic Mean (Average) Calculator
Calculate statistical mean with outlier detection. Supports copy-paste from Excel and generates dynamic distribution charts.
Mean-
Median-
Min-
Max-
Count (n)-
Sum-
Distribution Histogram
About
The arithmetic mean is the most common measure of central tendency, but it is highly susceptible to outliers (extreme values). A single mistake in data entry, like typing 1000 instead of 100, can skew the average significantly.
This calculator is designed for data health checks. It cleans inputs by filtering out non-numeric text, calculates the standard mean, and automatically flags potential outliers using the Interquartile Range (IQR) method. It is optimized for copy-pasting raw columns directly from spreadsheet software.
statistics
average
mean
data-analysis
math-tool
Formulas
The arithmetic mean is calculated by summing all data points xi and dividing by the count n:
= 1n n∑i=1 xi
Reference Data
| Metric | Symbol | Formula | Description |
|---|---|---|---|
| Mean | ∑xn | The "average" value | |
| Count | n | - | Number of valid samples |
| Sum | ∑ | - | Total of all values |
| Min | xmin | - | Smallest value |
| Max | xmax | - | Largest value |
| Range | R | xmax − xmin | Spread of data |
| Median | M | - | Middle value (sorted) |
| Outlier | - | > Q3 + 1.5*IQR | Statistical anomaly |
Frequently Asked Questions
The tool uses a robust parsing engine that ignores non-numeric characters (like "$", "kg", or words). It extracts only the numbers, making it safe to paste mixed data from emails or PDFs.
An outlier is a data point that differs significantly from other observations. We use the 1.5 * IQR (Interquartile Range) rule to detect values that might be errors or anomalies.
No, this is a Simple Arithmetic Mean calculator. For weighted averages (where some numbers count more than others), you would need a different formula.
The tool processes data client-side (in your browser). It is tested to handle datasets of up to 10,000 items instantly without lag.