A statistics calculator turns raw data into summary numbers — mean, standard deviation, and the best-fit model. Ours covers single-variable statistics and seven regression types in STAT mode. Here's the full workflow.
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Entering data (1-VAR)
Switch to STAT mode and pick 1-VAR. Type your values separated by commas or spaces:
4, 8, 15, 16, 23, 42Mean, sum & spread
The calculator reports n, Σx, Σx², the mean x̄, min and max together.
For the data above: n = 6, Σx = 108, x̄ = 18, min = 4, max = 42.
Population vs sample SD
Two standard deviations are shown, and choosing the right one matters:
| Symbol | Divides by | Use when |
|---|---|---|
| σ (population) | n | Your data is the whole population |
| s (sample) | n − 1 | Your data is a sample of a bigger group |
For the data above: σ ≈ 12.32, s ≈ 13.49.
The full hand calculation is in standard deviation by hand vs calculator.
The 7 regression types
Choose a paired (x, y) regression and enter the two columns. The available models:
| Type | Model | Shape |
|---|---|---|
| Linear | y = A + Bx | Straight line |
| Quadratic | y = A + Bx + Cx² | Parabola |
| Logarithmic | y = A + B·ln x | Fast then flattening |
| Exponential | y = A·e^(Bx) | Constant growth rate |
| A·Bˣ | y = A·Bˣ | Constant growth rate |
| Power | y = A·xᴮ | Scaling law |
| Inverse | y = A + B/x | Decay to asymptote |
Data (1,3), (2,5), (3,7) → A = 1, B = 2 (i.e. y = 2x + 1), with r = 1 (perfect fit).
Choosing among them is covered in choosing the right regression model and linear vs nonlinear regression explained.
Reading r and r²
Each regression reports the correlation coefficient r (−1 to 1) and r². The closer |r| is to 1, the better the model matches your data; r² is the proportion of variation the model explains. Use them to compare candidate models on the same data.
Frequently asked questions
How do I enter data?
STAT mode → 1-VAR → type values separated by commas or spaces. You get n, mean, and both SDs.
Population vs sample SD?
σ divides by n (whole population); s divides by n−1 (a sample). Both are shown.
How many regression types?
Seven paired regressions plus 1-VAR, each reporting coefficients and correlation r.
What does r mean?
It's how well the model fits, from −1 to 1; r² is the fraction of variation explained.
Crunch your data
Open STAT mode, pick 1-VAR or a regression, and paste your numbers.
Open the statistics calculator →