Statistics Calculator

Paste or type a list of numbers to instantly compute 13 descriptive statistics: count, sum, mean, median, mode, population and sample standard deviation, min, max, range, Q1, Q3, and interquartile range.

Key Formulas
Mean (μ) = Σx / n Variance = Σ(x − μ)² / n (population) Std Dev (σ) = √variance (population) Std Dev (s) = √(Σ(x−μ)² / (n−1)) (sample, Bessel corrected) IQR = Q3 − Q1 Outlier if x < Q1 − 1.5×IQR or x > Q3 + 1.5×IQR

Use sample standard deviation (s) when your data is a sample from a larger population. Use population standard deviation (σ) when you have data for the entire group. The sample version divides by n−1 (Bessel's correction) to reduce bias.

How to use
Entering data

Separate numbers with spaces, commas, or semicolons. You can paste directly from a spreadsheet column — each cell value will be parsed automatically.

Mean vs Median

The mean is the arithmetic average. The median is the middle value when sorted — it's more robust to outliers. If they differ significantly, your data is likely skewed.

Standard deviation

Population std dev (σ) is used when you have data for the entire group. Sample std dev (s) is used when your data is a sample from a larger population — it applies a Bessel correction (divides by n−1).

Quartiles & IQR

Q1 is the 25th percentile, Q3 is the 75th. The interquartile range (IQR = Q3 − Q1) covers the middle 50% of values and is used to detect outliers: values beyond Q1 − 1.5×IQR or Q3 + 1.5×IQR are considered outliers.

Tips
  • •For normally distributed data, about 68% of values fall within 1 standard deviation of the mean.
  • •If you have multiple modes, all of them will be shown.
  • •Copy your data from Excel or Google Sheets and paste directly into the text area.