Statistic of BMI Distribution

Sample

Male (4082)

LN Theory (M)

$\Lambda \left(m_W,m_H,s_W,s_H,r\right)$

Sample

Female (1986)

LN Theory (F)

$\Lambda \left(m_W,m_H,s_W,s_H,r\right)$

Log-Normal Parameters

Mean $m_W$

4.4351

4.2031

Mean $m_H$

0.5624

0.4869

SD $s_W$

0.1654

0.1604

SD $s_H$

0.0390

0.0394

Correlation of lnW & lnH $r_{WH}$

0.4716

0.5387

Correlation of W & H ${\rho }_{WH}$

0.4689

0.4689

0.5335

0.5359

BMI Statistics

Mean $\ln \left(B\right)$ Math_258#

3.3103

3.3099

3.2293

3.2292

SD $\ln \left(B\right)$ Math_260#

0.1458

0.1432

0.1354

0.1354

Mean

27.6863

27.6873

25.4960

25.4948

SE Mean

0.06322

0.0635

0.0783

0.0778

Variance

16.3133

16.4762

12.1856

12.0216

SE Variance

0.3711

0.3954

0.4306

0.4092

Skewness

0.3568

0.4430

0.5144

0.4105

SE Skewness

0.0643

0.0745

0.1112

0.1040

Kurtosis

3.1129

3.3509

3.4797

3.3011

SE Kurtosis

0.1724

0.2512

0.3670

0.3404