Carlin's Median Skew Simulator: Mean vs Median Cognitive Distributions

DISTRIBUTION CONTROLS & SAMPLING

Skewness (γ1) 1.8

Std Dev (σ) 15.0

Bimodal Mix Weight 0.00

Cohort Draw Size 250

CARLIN MEAN EVALUATION

FALSE FOR ARITHMETIC MEAN

Under positive skew, 58.3% of people are below the mean, not 50%.

Mean (Arithmetic) 100.0

Median (50th Pct) 96.4

Mode (Peak Density) 91.2

Pop Below Mean 58.3%

Pop Below Median 50.0%

Std Deviation (σ) 15.0

Gini Inequality Coeff 0.084

carlins-median-skew-simulator-45

Pct Below Mean: 58.3% | Mean: 100.0