Average & Statistics Calculator
Calculate arithmetic mean, median, mode, range, sample & population standard deviation, variance, and geometric mean for any dataset with zero server transfer.
Accepts commas, spaces, tabs, semicolons, and line breaks. Negative numbers and decimals are fully supported.
Statistical Summary
Awaiting inputEnter numbers separated by commas, spaces, or newlines to calculate statistical averages
Results, statistical ratios, and detailed amortization ledgers will appear here once values are provided.
Calculation Methodology & Formula
Mean = Σx / N. Median = middle value of sorted set. Sample Std Dev s = sqrt(Σ(x - mean)² / (N - 1)). Population Std Dev σ = sqrt(Σ(x - mean)² / N).
Mean x̄ = (1/N) Σ x_i | s = √[ (1/(N-1)) Σ (x_i - x̄)² ]Worked Example: Class Exam Performance Analysis
Calculate statistical dispersion and central tendency for test scores: 85, 92, 78, 88, 92, 70, 95.
Sum = 600, N = 7. Sorted: 70, 78, 85, 88, 92, 92, 95. Median is 88, mode is 92 (frequency 2).
Technical Constraints & Limitations
- Geometric mean requires all input numbers to be strictly positive (> 0).
- Arithmetic calculations preserve up to 4 decimal places of floating-point precision.