Sports Category Statistical Distribution & Division Audit Explorer D3 Engine v7

Gaussian density performance modeling, standard deviation separation analysis, and empirical benchmark audit.

Model Parameters

Benchmark Discipline

Female Mean (s) 11.40

Female Standard Dev (SD) 0.38

Male Mean (s) 10.20

Male Standard Dev (SD) 0.35

Policy Cutoff Line (SD) 3.00

Simulated Population Size 1000

SD Separation Distance

3.28 σ

Standard Deviation Gap

Distribution Overlap

0.05%

Statistical Curve Area

Displacement Index

99.80%

Percentile Shift Impact

Comparative Division Gaussian Density Curves

Female Division

Male Division

Empirical Discipline Record & Audit Dataset

Cross-division benchmark averages, elite thresholds, and calculated distribution separation across sports disciplines.

Discipline	Female Mean	Female SD	Male Mean	Male SD	SD Distance (Z)	Overlap Area	Displacement Index