Average Calculator

Average Calculator – Quick Cheat Sheet

Mean (average): (x₁ + x₂ + … + xₙ) / n.
Median: middle value after sorting; if even n, average the two middle values.
Mode: most frequent value(s). If no repeats occur, there’s technically no mode.
Range: max − min.
Population variance: Σ(x − μ)² / n; Population std dev: square root of that.
Sample variance: Σ(x − x̄)² / (n − 1); Sample std dev: square root of that.
Parsing tips: Commas, spaces, tabs, and new lines are all fine. Non-numeric tokens are ignored.

Edge cases & notes

Scientific notation (e.g., 1e3, -2.4E-2) is supported.
“Mode” compares rounded values (6 decimal places) to avoid floating-point quirks.
Precision changes the display only—calculations use full precision internally.
Large inputs are fine; the cleaned list preview is hidden above 200 values for speed/readability.