Calculate the median of any dataset with step-by-step sorting, odd/even length logic, middle position display, and robust comparison.

Calculate central tendency metrics, range, and frequency counts.

Calculate the inverse of 2×2 and 3×3 invertible square matrices via adjugate matrix and determinant division.

Find eigenvalues, trace, determinant, and characteristic polynomials det(A – λI) = 0 for 2×2 real square matrices.

Compute exact determinants for 2×2, 3×3, and 4×4 matrices with cofactor expansion steps and singularity testing.

Calculate discrete-time Markov chain stationary distributions, Chapman-Kolmogorov n-step transition matrices, absorbing state matrices, and mean recurrence times.

Calculate survey and polling margin of error (MoE) at 90%, 95%, or 99% confidence levels for proportions with sample size solver.

Perform the non-parametric Mann-Whitney U test for two independent continuous or ordinal groups with tie corrections and Z-approximation.

Compute Mean Absolute Deviation (MAD from mean) and Median Absolute Deviation with 1.4826 normal consistency scale factor.

Solve logarithmic equations step-by-step. Convert log_b(x) = y to exponential form b^y = x, apply product & quotient rules, and check extraneous roots.