SOCR Data BMI Regression

Summary

This is a comprehensive dataset that lists estimates of the percentage of body fat determined by underwater weighing and various body circumference measurements for 252 men.

Classroom use of this data set

Body Mass Index

This data set can be used to illustrate multiple regression techniques. Accurate measurement of body fat is inconvenient/costly and it is desirable to have easy methods of estimating body fat that are cost-effective and convenient.

References to the BMI index by country/region and per capita food consumption and undernourishment (calories) may be appropriate when discussing BMI.

Siri's Equation

A variety of popular health books suggest that the readers assess their health, at least in part, by estimating their percentage of body fat. In Bailey (1994), for instance, the reader can estimate body fat from tables using their age and various skin-fold measurements obtained by using a caliper. Other texts give predictive equations for body fat using body circumference measurements (e.g. abdominal circumference) and/or skin-fold measurements ( Behnke and Wilmore, 1974, pp. 66-67; Wilmore, 1976, p. 247; or Katch and McArdle, 1977, pp. 120-132).

Percentage of body fat for an individual can be estimated once body density has been determined. Siri (1956) assumes that the body consists of two components - lean body tissue and fat tissue.

• Suppose we let:
  • D = Body Density (gm/cm³)
  • A = proportion of lean body tissue
  • B = proportion of fat tissue (A+B=1)
  • a = density of lean body tissue (gm/cm³)
  • b = density of fat tissue (gm/cm³)
• Then, we have \(D = {1 \over {A \over a} + {B\over b}}\) and solving for B we find

\(B = {1\over D}\times{a b\over a-b} - {b\over a-b}\). Using the estimates a=1.10 gm/cm³ and b=0.90 gm/cm³ ( Katch and McArdle, 1977, p. 111 or Wilmore, 1976, p. 123) we come up with Siri's equation: Percentage of Body Fat \(PBF = 100\times B = {495\over D} - 450\).

Estimation of Body Density (BD)

Volume, and hence body density, can be accurately measured a variety of ways. The technique of underwater weighing computes body volume as the difference between body weight measured in air and weight measured during water submersion. In other words, body volume is equal to the loss of weight in water with the appropriate temperature correction for the water's density (Katch and McArdle, 1977, p. 113). Using this technique, \(BD = {WA\over {WA-WW\over CF} - LV}\), where

• WA = Weight in air (kg)
• WW = Weight in water (kg)
• CF = Water correction factor. CF=1 at 4^o C (Celsius) as one-gram of water occupies exactly one cm³ of space, and CF=0.997 at 25^o C)
• LV = Residual Lung Volume (liters) Katch and McArdle (1977), p. 115.

Other methods of determining body volume are given in Behnke and Wilmore, 1974, p. 22.

BMI Calculators

There are many body-mass-index calculators. Here are some examples:

• This BMI calculator allows data in various formats and includes interpretations of the results.
• This is a complex BMI calculator that also computes your daily burned calories (based on your life-style) and estimates your daily calorie intake.

Data Description

The body density dataset includes the following 15 variables listed from left to right:

• Density determined from underwater weighing
• Percent body fat from Siri's (1956) equation
• Age (years)
• Weight (kg)
• Height (cm)
• Neck circumference (cm)
• Chest circumference (cm)
• Abdomen 2 circumference (cm)
• Hip circumference (cm)
• Thigh circumference (cm)
• Knee circumference (cm)
• Ankle circumference (cm)
• Biceps (extended) circumference (cm)
• Forearm circumference (cm)
• Wrist circumference (cm)
• Notes
  • The measurement standards are listed in Benhke and Wilmore, 1974, pp. 45-48, where, for instance, the abdomen 2 circumference is measured laterally, at the level of the iliac crests, and anteriorly, at the umbilicus.
  • These data are used to produce the predictive equations for lean body weight given in the abstract Generalized body composition prediction equation for men using simple measurement techniques, K.W. Penrose, A.G. Nelson, A.G. Fisher, FACSM, Human Performance Research Center, Brigham Young University, Provo, Utah 84602 as listed in Medicine and Science in Sports and Exercise, vol. 17, no. 2, April 1985, p. 189.
  • The predictive equations were obtained from training data (the first 143 of the 252 cases that are listed in the spreadsheet below). The remaining 109 cases may be used for testing.
  • These data were generously supplied by Dr. A. Garth Fisher who gave permission to freely distribute the data and use for non-commercial purposes.
  • The data is also available in PDF format.
  • The body-mass-index is defined by\[BMI = {Weight(kg)\over Height^2(m)}\].

Data Table

UnderwaterDensity	BodyFatSiriEqu	Age	Height	Weight(kg)	NeckCircumf	ChestCircumf	Abdomen2Circumf	HipCircumf	ThighCircumf	KneeCircumf	AnkleCircumf	ExtendBicepsCircumf	ForearmCircumf	WristCircumf
1.0708	12.3	23	172.085	69.96662	36.2	93.1	85.2	94.5	59	37.3	21.9	32	27.4	17.1
1.0853	6.1	22	183.515	78.58488	38.5	93.6	83	98.7	58.7	37.3	23.4	30.5	28.9	18.2
1.0414	25.3	22	168.275	69.85322	34	95.8	87.9	99.2	59.6	38.9	24	28.8	25.2	16.6
1.0751	10.4	26	183.515	83.80119	37.4	101.8	86.4	101.2	60.1	37.3	22.8	32.4	29.4	18.2
1.034	28.7	24	180.975	83.57439	34.4	97.3	100	101.9	63.2	42.2	24	32.2	27.7	17.7
1.0502	20.9	24	189.865	95.3678	39	104.5	94.4	107.8	66	42	25.6	35.7	30.6	18.8
1.0549	19.2	26	177.165	82.10022	36.4	105.1	90.7	100.3	58.4	38.3	22.9	31.9	27.8	17.7
1.0704	12.4	25	184.15	79.83226	37.8	99.6	88.5	97.1	60	39.4	23.2	30.5	29	18.8
1.09	4.1	25	187.96	86.63614	38.1	100.9	82.5	99.9	62.9	38.3	23.8	35.9	31.1	18.2
1.0722	11.7	23	186.69	89.92469	42.1	99.6	88.6	104.1	63.1	41.7	25	35.6	30	19.2
1.083	7.1	26	189.23	84.48158	38.5	101.5	83.6	98.2	59.7	39.7	25.2	32.8	29.4	18.5
1.0812	7.8	27	193.04	97.97595	39.4	103.6	90.9	107.7	66.2	39.2	25.9	37.2	30.2	19
1.0513	20.8	32	176.53	81.87342	38.4	102	91.6	103.9	63.4	38.3	21.5	32.5	28.6	17.7
1.0505	21.2	30	180.975	93.09983	39.4	104.1	101.8	108.6	66	41.5	23.7	36.9	31.6	18.8
1.0484	22.1	35	176.53	85.16197	40.5	101.3	96.4	100.1	69	39	23.1	36.1	30.5	18.2
1.0512	20.9	35	167.64	73.82216	36.4	99.1	92.8	99.2	63.1	38.7	21.7	31.1	26.4	16.9
1.0333	29	34	180.34	88.79071	38.9	101.9	96.4	105.2	64.8	40.8	23.1	36.2	30.8	17.3
1.0468	22.9	32	180.34	94.9142	42.1	107.6	97.5	107	66.9	40	24.4	38.2	31.6	19.3
1.0622	16	28	172.085	83.3476	38	106.8	89.6	102.4	64.2	38.7	22.9	37.2	30.5	18.5
1.061	16.5	33	186.69	96.04818	40	106.2	100.5	109	65.8	40.6	24	37.1	30.1	18.2
1.0551	19.1	28	172.72	81.19303	39.1	103.3	95.9	104.9	63.5	38	22.1	32.5	30.3	18.4
1.064	15.2	28	177.165	90.94527	41.3	111.4	98.8	104.8	63.4	40.6	24.6	33	32.8	19.9
1.0631	15.6	31	173.355	63.61633	33.9	86	76.4	94.6	57.4	35.3	22.2	27.9	25.9	16.7
1.0584	17.7	32	177.8	67.47187	35.5	86.7	80	93.4	54.9	36.2	22.1	29.8	26.7	17.1
1.0668	14	28	172.085	68.60585	34.5	90.2	76.3	95.8	58.4	35.5	22.9	31.1	28	17.6
1.0911	3.7	27	181.61	72.23458	35.7	89.6	79.7	96.5	55	36.7	22.5	29.9	28.2	17.7
1.0811	7.9	34	171.45	59.6474	36.2	88.6	74.6	85.3	51.7	34.7	21.4	28.7	27	16.5
1.0468	22.9	31	171.45	67.13167	38.8	97.4	88.7	94.7	57.5	36	21	29.2	26.6	17
1.091	3.7	27	164.465	60.44118	36.4	93.5	73.9	88.5	50.1	34.5	21.3	30.5	27.9	17.2
1.079	8.8	29	175.26	72.91497	36.7	97.4	83.5	98.7	58.9	35.3	22.6	30.1	26.7	17.6
1.0716	11.9	32	187.325	82.55381	38.7	100.5	88.7	99.8	57.5	38.7	33.9	32.5	27.7	18.4
1.0862	5.7	29	180.975	72.68818	37.3	93.5	84.5	100.6	58.5	38.8	21.5	30.1	26.4	17.9
1.0719	11.8	27	180.975	76.20352	38.1	93	79.1	94.5	57.3	36.2	24.5	29	30	18.8
1.0502	21.3	41	180.34	99.10993	39.8	111.7	100.5	108.3	67.1	44.2	25.2	37.5	31.5	18.7
1.0263	32.3	41	186.69	112.1507	42.1	117	115.6	116.1	71.2	43.3	26.3	37.3	31.7	19.7
1.0101	40.1	49	165.1	86.97634	38.4	118.5	113.1	113.8	61.9	38.3	21.9	32	29.8	17
1.0438	24.2	40	177.8	91.73906	38.5	106.5	100.9	106.2	63.5	39.9	22.6	35.1	30.6	19
1.0346	28.4	50	173.355	89.2443	42.1	105.6	98.8	104.8	66	41.5	24.7	33.2	30.5	19.4
1.0202	35.2	46	183.515	164.7221	51.2	136.2	148.1	147.7	87.3	49.1	29.6	45	29	21.4
1.0258	32.6	50	170.18	92.07925	40.2	114.8	108.1	102.5	61.3	41.1	24.7	34.1	31	18.3
1.0217	34.5	45	174.625	119.1814	43.2	128.3	126.2	125.6	72.5	39.6	26.6	36.4	32.7	21.4
1.025	32.9	44	74.93	92.98644	36.6	106	104.3	115.5	70.6	42.5	23.7	33.6	28.7	17.4
1.0279	31.6	48	177.8	98.42954	37.3	113.3	111.2	114.1	67.7	40.9	25	36.7	29.8	18.4
1.0269	32	41	181.61	96.16158	41.5	106.6	104.3	106	65	40.2	23	35.8	31.5	18.8
1.0814	7.7	39	172.72	56.81244	31.5	85.1	76	88.2	50	34.7	21	26.1	23.1	16.1
1.067	13.9	43	186.055	74.50255	35.7	96.6	81.5	97.2	58.4	38.2	23.4	29.7	27.4	18.3
1.0742	10.8	40	171.45	60.55458	33.6	88.2	73.7	88.5	53.3	34.5	22.5	27.9	26.2	17.3
1.0665	5.6	39	180.975	67.35847	34.6	89.8	79.5	92.7	52.7	37.5	21.9	28.8	26.8	17.9
1.0678	13.6	45	173.99	61.57516	32.8	92.3	83.4	90.4	52	35.8	20.6	28.8	25.5	16.3
1.0903	4	47	169.545	57.83303	34	83.4	70.4	87.2	50.6	34.4	21.9	26.8	25.8	16.8
1.0756	10.2	47	183.515	71.78099	34.9	90.2	86.7	98.3	52.6	37.2	22.4	26	25.8	17.3
1.084	6.6	40	175.26	63.16274	34.3	89.2	77.9	91	51.4	34.9	21	26.7	26.1	17.2
1.0807	8	51	172.085	62.25555	36.5	89.7	82	89.1	49.3	33.7	21.4	29.6	26	16.9
1.0848	6.3	49	186.69	69.28623	35.1	93.3	79.6	91.6	52.6	37.6	22.6	38.5	27.4	18.5
1.0906	3.9	42	171.45	61.80196	37.8	87.6	77.6	88.6	51.9	34.9	22.5	27.7	27.5	18.5
1.0473	22.6	54	182.88	89.81129	39.9	107.6	100	99.6	57.2	38	22	35.9	30.2	18.9
1.0524	20.4	58	172.72	82.32702	39.1	100	99.8	102.5	62.1	39.6	22.5	33.1	28.3	18.5
1.0356	28	62	176.53	91.28546	40.5	111.5	104.2	105.8	61.8	39.8	22.7	37.7	30.9	19.2
1.028	31.5	54	179.705	91.85245	40.5	115.4	105.3	97	59.1	38	22.5	31.6	28.8	18.2
1.043	24.6	61	167.005	81.53323	38.4	104.8	98.3	99.6	60.6	37.7	22.9	34.5	29.6	18.5
1.0396	26.1	62	186.055	97.97595	41.4	112.3	104.8	103.1	61.6	40.9	23.1	36.2	31.8	20.2
1.0317	29.8	56	173.99	81.07964	35.6	102.9	94.7	100.8	60.9	38	22.1	32.5	29.8	18.3
1.0298	30.7	54	178.435	87.65673	38	107.6	102.4	99.4	61	39.4	23.6	32.7	29.9	19.1
1.0403	25.8	61	170.18	80.73944	37.4	105.3	99.7	99.7	60.8	40.1	22.7	33.6	29	18.8
1.0264	32.3	57	177.8	93.21323	40.1	105.3	105.5	108.3	65	41.2	24.7	35.3	31.1	18.4
1.0313	30	55	171.45	83.2342	40.9	103	100.3	104.2	64.8	40.2	22.7	34.8	30.1	18.7
1.0499	21.5	54	179.705	68.71924	35.6	90	83.9	93.9	55	36.1	21.7	29.6	27.4	17.4
1.0673	13.8	55	181.61	70.19342	36.9	95.4	86.6	91.8	54.3	35.4	21.5	32.8	27.4	18.7
1.0847	6.3	54	175.895	70.42022	37.5	89.3	78.4	96.1	56	37.4	22.4	32.6	28.1	18.1
1.0693	12.9	55	181.61	71.1006	36.3	94.4	84.6	94.3	51.2	37.4	21.6	27.3	27.1	17.3
1.0439	24.3	62	181.61	75.97672	35.5	97.6	91.5	98.5	56.6	38.6	22.4	31.5	27.3	18.6
1.0788	8.8	55	174.625	66.56468	38.7	88.5	82.8	95.5	58.9	37.6	21.6	30.3	27.3	18.3
1.0796	8.5	56	187.325	72.91497	36.4	93.6	82.9	96.3	52.9	37.5	23.1	29.7	27.3	18.2
1.068	13.5	55	162.56	56.69905	33.2	87.7	76	88.6	50.9	35.4	19.1	29.3	25.7	16.9
1.072	11.8	61	167.005	64.86371	36.5	93.4	83.3	93	55.5	35.2	20.9	29.4	27	16.8
1.0666	18.5	61	171.45	67.24507	36	91.6	81.8	94.8	54.5	37	21.4	29.3	27	18.3
1.079	8.8	57	176.53	73.70876	38.7	91.6	78.8	94.3	56.7	39.7	24.2	30.2	29.2	18.1
1.0483	22.2	69	173.99	80.62604	38.7	102	95	98.3	55	38.3	21.8	30.8	25.7	18.8
1.0498	21.5	81	178.435	73.14177	37.8	96.4	95.4	99.3	53.5	37.5	21.5	31.4	26.8	18.3
1.056	18.8	66	175.895	77.67769	37.4	102.7	98.6	100.2	56.5	39.3	22.7	30.3	28.7	19
1.0283	31.4	67	172.085	74.27575	38.4	97.7	95.8	97.1	54.8	38.2	23.7	29.4	27.2	19
1.0382	26.8	64	170.815	68.15225	38.1	97.1	89	96.9	54.8	38	22	29.9	25.2	17.7
1.0568	18.4	64	184.785	86.29595	39.3	103.1	97.8	99.6	58.9	39	23	34.3	29.6	19
1.0377	27	70	177.8	77.4509	38.7	101.8	94.9	95	56	36.5	24.1	31.2	27.3	19.2
1.0378	27	72	175.895	76.20352	38.5	101.4	99.8	96.2	56.3	36.6	22	29.7	26.3	18
1.0386	26.6	67	171.45	75.74993	36.5	98.9	89.7	96.2	54.7	37.8	33.7	32.4	27.7	18.2
1.0648	14.9	72	170.815	71.5542	37.7	97.5	88.1	96.9	57.2	37.7	21.8	32.6	28	18.8
1.0462	23.1	64	167.005	72.57478	36.5	104.3	90.9	93.8	57.8	39.5	23.3	29.2	28.4	18.1
1.08	8.3	46	184.15	80.17245	38	97.3	86	99.3	61	38.4	23.8	30.2	29.3	18.8
1.0666	14.1	48	185.42	79.83226	36.7	96.7	86.5	98.3	60.4	39.9	24.4	28.8	29.6	18.7
1.052	20.5	46	177.8	80.28585	37.2	99.7	95.6	102.2	58.3	38.2	22.5	29.1	27.7	17.7
1.0573	18.2	44	176.53	81.53323	39.2	101.9	93.2	100.6	58.9	39.7	23.1	31.4	28.4	18.8
1.0795	8.5	47	179.07	74.95614	37.5	97.2	83.1	95.4	56.9	38.3	22.1	30.1	28.2	18.4
1.0424	24.9	46	182.245	87.31653	38	106.6	97.5	100.6	58.9	40.5	24.5	33.3	29.6	19.1
1.0785	9	47	189.23	83.57439	37.3	99.6	88.8	101.4	57.4	39.6	24.6	30.3	27.9	17.8
1.0991	17.4	53	197.485	101.8315	41.1	113.2	99.2	107.5	61.7	42.3	23.2	32.9	30.8	20.4
1.077	9.6	38	186.055	85.61556	37.5	99.1	91.6	102.4	60.6	39.4	22.9	31.6	30.1	18.5
1.073	11.3	50	168.91	73.70876	38.7	99.4	86.7	96.2	62.1	39.3	23.3	30.6	27.8	18.2
1.0582	17.8	46	173.355	70.98721	35.9	95.1	88.2	92.8	54.7	37.3	21.9	31.6	27.5	18.2
1.0484	22.2	47	182.88	89.3577	40	107.5	94	103.7	62.7	39	22.3	35.3	30.9	18.3
1.0506	21.2	49	186.69	90.03809	40.1	106.5	95	101.7	59	39.4	22.3	32.2	31	18.6
1.0524	20.4	48	182.88	78.81167	37	99.1	92	98.3	59.3	38.4	22.4	27.9	26.2	17
1.053	20.1	41	180.975	78.35808	36.3	96.7	89.2	98.3	60	38.4	23.2	31	29.2	18.4
1.048	22.3	49	187.325	89.2443	40.7	103.5	95.5	101.6	59.1	39.8	25.4	31	30.3	19.7
1.0412	25.4	43	175.895	80.28585	39.6	104	98.6	99.5	59.5	36.1	22	30.1	27.2	17.7
1.0578	18	43	173.99	75.06954	31.1	93.1	87.3	96.6	54.7	39	24.8	31	29.4	18.8
1.0547	19.3	43	186.69	90.83187	38.6	105.2	102.8	103.6	61.2	39.3	23.5	30.5	28.5	18.1
1.0569	18.3	52	188.595	92.19265	42	110	101.6	100.7	55.8	38.7	23.4	35.1	29.6	19.1
1.0593	17.3	43	191.77	87.99692	38.5	110.1	88.7	102.1	57.5	40	24.8	35.1	30.7	19.2
1.05	21.4	40	175.895	76.43031	34.2	97.8	92.3	100.6	57.5	36.8	22.8	32.1	26	17.3
1.0538	19.7	43	173.99	77.4509	37.2	96.3	90.6	99.3	61.9	38	22.3	33.3	28.2	18.1
1.0355	28	43	177.8	83.1208	37.1	108	105	103	63.7	40	23.6	33.5	27.8	17.4
1.0486	22.1	47	177.8	80.85284	40.2	99.7	95	98.6	62.3	38.1	23.9	35.3	31.1	19.8
1.0503	21.3	42	178.435	73.93556	35.3	93.5	89.6	99.8	61.5	37.8	21.9	30.7	27.6	17.4
1.0384	26.7	48	182.245	79.49206	38	100.7	92.4	97.5	59.3	38.1	21.8	31.8	27.3	17.5
1.0607	16.7	40	175.895	71.66759	36.3	97	86.6	92.6	55.9	36.3	22.1	29.8	26.3	17.3
1.0529	20.1	48	184.785	80.39925	36.8	96	90	99.7	58.8	38.4	22.8	29.9	28	18.1
1.0671	13.9	51	182.88	81.19303	41	99.2	90	96.4	56.8	38.8	23.3	33.4	29.8	19.5
1.0404	25.8	40	187.96	86.63614	38.3	95.4	92.4	104.3	64.6	41.1	24.8	33.6	29.5	18.5
1.0575	18.1	44	183.515	85.04857	38	101.8	87.5	101	58.5	39.2	24.5	32.1	28.6	18
1.0358	27.9	52	189.23	93.66682	40.8	104.3	99.2	104.1	58.5	39.3	24.6	33.9	31.2	19.5
1.0414	25.3	44	181.61	84.02799	39.5	99.2	98.1	101.4	57.1	40.5	23.2	33	29.6	18.4
1.0652	14.7	40	174.625	72.68818	36.9	99.3	83.3	97.5	60.5	38.7	22.6	34.4	28	17.6
1.0623	16	47	169.545	68.71924	36.9	94	86.1	95.2	58.1	36.5	22.1	30.6	27.5	17.6
1.0674	13.8	50	168.91	73.02837	37.7	98.9	84.1	94	58.5	36.6	23.5	34.4	29.2	18
1.0587	17.5	46	170.18	75.74993	36.6	101	89.9	100	60.7	36	21.9	35.6	30.2	17.6
1.0373	27.2	42	174.625	80.51265	38.9	98.7	92.1	98.5	60.7	36.8	22.2	33.8	30.3	17.2
1.059	17.4	43	172.085	69.05944	37.5	95.9	78	93.2	53.5	35.8	20.8	33.9	28.2	17.4
1.0515	20.8	40	186.055	87.20313	39.8	103.9	93.5	99.5	61.7	39	21.8	33.3	29.6	18.1
1.0648	14.9	42	177.165	74.95614	38.3	96.2	87	97.8	57.4	36.9	22.2	31.6	27.8	17.7
1.0575	18.1	49	181.61	77.90449	35.5	97.8	90.1	95.8	57	38.7	23.2	27.5	26.5	17.6
1.0472	22.7	40	179.07	77.67769	36.3	94.6	90.3	99.1	60.3	38.5	23	31.2	28.4	17.1
1.0452	23.6	47	186.055	89.3577	37.8	103.6	99.8	103.2	61.2	38.1	22.6	33.5	28.6	17.9
1.0398	26.1	50	169.545	71.214	37.8	100.4	89.4	92.3	56.1	35.6	20.5	33.6	29.3	17.3
1.0435	24.4	41	176.53	76.31692	36.5	98.4	87.2	98.4	56	36.9	23	34	29.8	18.1
1.0374	27.1	44	177.165	84.36818	37.8	104.6	101.1	102.1	58.9	37.9	22.7	30.9	28.8	17.6
1.0491	21.8	39	179.705	75.63653	37	92.9	86.1	95.6	58.8	36.1	22.4	32.7	28.3	17.1
1.0325	29.4	43	187.96	85.16197	37.7	97.8	98.6	100.6	63.6	39.2	23.8	34.3	28.4	17.7
1.0481	22.4	40	180.975	76.31692	34.3	98.3	88.5	98.3	58.1	38.4	22.5	31.7	27.4	17.6
1.0522	20.4	49	190.5	96.50178	40.8	104.7	106.6	107.7	66.5	42.5	24.5	35.5	29.8	18.7
1.0422	24.9	40	180.34	80.17245	37.4	98.6	93.1	101.6	59.1	39.6	21.6	30.8	27.9	16.6
1.0571	18.3	40	176.53	78.58488	36.5	99.5	93	99.3	60.4	38.2	22	32	28.5	17.8
1.0459	23.3	52	172.085	75.74993	37.5	102.7	91	98.9	57.1	36.7	22.3	31.6	27.5	17.9
1.0775	9.4	23	183.515	72.46138	35.5	92.1	77.1	93.9	56.1	36.1	22.7	30.5	27.2	18.2
1.0754	10.3	23	196.85	85.3434	38	96.6	85.3	102.5	59.1	37.6	23.2	31.8	29.7	18.3
1.0664	14.2	24	179.705	70.76041	35.7	92.7	81.9	95.3	56.4	36.5	22	33.5	28.3	17.3
1.055	19.2	24	184.785	94.57401	39.2	102	99.1	110.1	71.2	43.5	25.2	36.1	30.3	18.7
1.0322	29.6	25	177.165	93.66682	40.9	110.9	100.5	106.2	68.4	40.8	24.6	33.3	29.7	18.4
1.0873	5.3	25	184.15	65.2039	35.2	92.3	76.5	92.1	51.9	35.7	22	25.8	25.2	16.9
1.0416	25.2	26	178.435	101.1511	40.6	114.1	106.8	113.9	67.6	42.7	24.7	36	30.4	18.4
1.0776	9.4	26	175.26	69.05944	35.4	92.9	77.6	93.5	56.9	35.9	20.4	31.6	29	17.8
1.0542	19.6	26	189.23	109.656	41.8	108.3	102.9	114.4	72.9	43.5	25.1	38.5	33.8	19.6
1.0758	10.1	27	183.515	66.22449	34.1	88.5	72.8	91.1	53.6	36.8	23.8	27.8	26.3	17.4
1.061	16.5	27	170.815	71.1006	37.9	94	88.2	95.2	56.8	37.4	22.8	30.6	28.3	17.9
1.051	21	27	186.69	90.83187	38.2	101.1	100.1	105	62.1	40	24.9	33.7	29.2	19.4
1.0594	17.3	28	191.135	77.79109	35.6	92.1	83.5	98.3	57.3	37.8	21.7	32.2	27.7	17.7
1.0287	31.2	28	175.26	93.32663	38.5	105.6	105	106.4	68.6	40	25.2	35.2	30.7	19.1
1.0761	10	28	183.515	82.78061	37	98.5	90.8	102.5	60.8	38.5	25	31.6	28	18.6
1.0704	12.5	30	174.625	61.91536	35.9	88.7	76.6	89.8	50.1	34.8	21.8	27	34.9	16.9
1.0477	22.5	31	181.61	80.39925	36.2	101.1	92.4	99.3	59.4	39	24.6	30.1	28.2	18.2
1.0775	9.4	31	183.515	68.60585	35	94	81.2	91.5	52.5	36.6	21	27	26.3	16.5
1.0653	14.6	33	185.42	88.9041	38.5	103.8	95.6	105.1	61.4	40.6	25	31.3	29.2	19.1
1.069	13	33	174.625	83.57439	40.7	98.9	92.1	103.5	64	37.3	23.5	33.5	30.6	19.7
1.0644	15.1	34	179.07	63.50293	36	89.2	83.4	89.6	52.4	35.6	20.4	28.3	26.2	16.5
1.037	27.3	34	182.88	99.22333	39.5	111.4	106	108.8	63.8	42	23.4	34	31.2	18.5
1.0549	19.2	35	187.325	98.42954	40.5	107.5	95.1	104.5	64.8	41.3	25.6	36.4	33.7	19.4
1.0492	21.8	35	172.72	75.40973	38.5	99.1	90.4	95.6	55.5	34.2	21.9	30.2	28.7	17.7
1.0525	20.3	35	183.515	101.9449	43.9	108.2	100.4	106.8	63.3	41.7	24.6	37.2	33.1	19.8
1.018	34.3	35	176.53	103.5325	40.4	114.9	115.9	111.9	74.4	40.6	24	36.1	31.8	18.8
1.061	16.5	35	176.53	78.35808	37.6	99.1	90.8	98.1	60.1	39.1	23.4	32.5	29.8	17.4
1.0926	3	35	172.085	69.05944	37	92.2	81.9	92.8	54.7	36.2	22.1	30.4	27.4	17.7
1.0983	0.7	35	166.37	57.03924	34	90.8	75	89.2	50	34.8	22	24.8	25.9	16.9
1.0521	20.5	35	180.34	80.39925	38.4	100.5	90.3	98.7	57.8	37.3	22.4	31	28.7	17.7
1.0603	16.9	36	181.61	79.94566	38.7	98.2	90.3	99.9	59.2	37.7	21.5	32.4	28.4	17.8
1.0414	25.3	36	182.245	102.8521	41.5	115.3	108.8	114.4	69.2	42.4	24	35.4	21	20.1
1.0763	9.9	37	175.895	65.88429	36	96.8	79.4	89.2	50.3	34.8	22.2	31	26.9	16.9
1.0689	13.1	37	170.18	68.49245	35.3	92.6	83.2	96.4	60	38.1	22	31.5	26.6	16.7
1.0316	29.9	37	181.61	109.4292	42.1	119.2	110.3	113.9	69.8	42.6	24.8	34.4	29.5	18.4
1.0477	22.5	38	175.895	84.93517	38	102.7	92.7	101.9	64.7	39.5	24.7	34.8	30.3	18.1
1.0603	16.9	39	189.23	106.4808	42.8	109.5	104.5	109.9	69.5	43.1	25.8	39.1	32.5	19.9
1.0387	26.6	39	188.595	99.45013	40	108.5	104.6	109.8	68.1	42.8	24.1	35.6	29	19
1.1089	0	40	172.72	53.7507	33.8	79.3	69.4	85	47.2	33.5	20.2	27.7	24.6	16.5
1.0725	11.5	40	170.815	66.11109	35.5	95.5	83.6	91.6	54.1	36.2	21.8	31.4	28.3	17.2
1.0713	12.1	40	177.165	72.23458	35.3	92.3	86.8	96.1	58	39.4	22.7	30	26.4	17.4
1.0587	17.5	40	188.595	77.3375	37.7	98.9	90.4	95.5	55.4	38.9	22.4	30.5	28.9	17.7
1.0794	8.6	40	181.61	75.97672	39.4	89.5	83.7	98.1	57.3	39.7	22.6	32.9	29.3	18.2
1.0453	23.6	41	188.595	105.5736	41.9	117.5	109.3	108.8	67.7	41.3	24.7	37.2	31.8	20
1.0524	20.4	41	182.88	95.48119	38.5	107.4	98.9	104.1	63.5	39.8	23.5	36.4	30.4	19.1
1.052	20.5	41	184.15	91.73906	40.8	109.2	98	101.8	62.8	41.3	24.8	36.6	32.4	18.8
1.0434	24.4	41	173.355	83.91459	38	103.4	101.2	103.1	61.5	40.4	22.9	33.4	29.2	18.5
1.0728	11.4	41	175.895	69.39963	36.4	91.4	80.6	92.3	54.3	36.3	21.8	29.6	27.3	17.9
1.014	38.1	42	193.04	110.7899	41.8	115.2	113.7	112.4	68.5	45	25.5	37.1	31.2	19.9
1.0624	15.9	42	179.07	87.77012	40.7	104.9	94.1	102.7	60.6	38.6	24.7	34	30.1	18.7
1.0429	24.7	42	189.865	101.9449	38.5	106.7	105.7	111.8	65.3	43.3	26	33.7	29.9	18.5
1.047	22.8	42	184.785	73.82216	35.4	92.2	85.6	96.5	60.2	38.9	22.4	31.7	27.1	17.1
1.0411	25.5	42	173.355	81.64663	38.5	101.6	96.6	100.6	61.1	38.4	24.1	32.9	29.8	18.8
1.0488	22	42	175.26	70.87381	35.5	97.8	86	96.2	57.7	38.6	24	31.2	27.3	17.4
1.0583	17.7	42	181.61	76.20352	36.5	92	89.7	101	62.3	38	22.3	30.8	27.8	16.9
1.0841	6.6	42	184.785	75.86332	37.6	94	78	99	57.5	40	22.5	30.6	30	18.5
1.0462	23.6	43	171.45	77.4509	37.4	103.7	89.7	94.2	58.5	39	24.1	33.8	28.8	18.8
1.0709	12.2	43	178.435	80.85284	37.8	102.7	89.2	99.2	60.2	39.2	23.8	31.7	28.4	18.6
1.0484	22.1	43	175.895	68.03886	35.2	91.1	85.7	96.9	55.5	35.7	22	29.4	26.6	17.4
1.034	28.7	43	181.61	90.94527	37.9	107.2	103.1	105.5	68.8	38.3	23.7	32.1	28.9	18.7
1.0854	6	44	187.96	83.461	37.9	100.8	89.1	102.6	60.6	39	24	32.9	29.2	18.4
1.0209	34.8	44	177.165	101.1511	40.9	121.6	113.9	107.1	63.5	40.3	21.8	34.8	30.7	17.4
1.061	16.6	44	185.42	94.68741	41.9	105.6	96.3	102	63.3	39.8	24.1	37.3	23.1	19.4
1.025	32.9	44	166.37	75.29633	39.1	100.6	93.9	100.1	58.9	37.6	21.4	33.1	29.5	17.3
1.0254	32.8	47	184.15	88.45051	40.2	102.7	101.3	101.7	60.7	39.4	23.3	36.7	31.6	18.4
1.0771	9.6	47	178.435	72.80158	36	99.8	83.9	91.8	53	36.2	22.5	31.4	27.5	17.7
1.0742	10.8	47	179.705	72.46138	34.5	92.9	84.4	94	56	38.2	22.6	29	26.2	17.6
1.0829	7.1	49	172.72	63.72973	35.8	91.2	79.4	89	51.1	35	21.7	30.9	28.8	17.4
1.0373	27.2	49	189.23	98.08935	40.2	115.6	104	109	63.7	40.3	23.2	36.8	31	18.9
1.0543	19.5	49	182.245	76.31692	38.3	98.3	89.7	99.1	56.3	38.8	23	29.5	27.9	18.6
1.0561	18.7	50	179.705	88.33711	39	103.7	97.6	104.2	60	40.9	25.5	32.7	30	19
1.0543	19.5	50	185.42	78.35808	37.4	98.7	87.6	96.1	57.1	38.1	21.8	28.6	26.7	18
0.995	47.5	51	162.56	99.33673	41.2	119.8	122.1	112.8	62.5	36.9	23.6	34.7	29.1	18.4
1.0678	13.6	51	177.165	67.69866	34.8	92.8	81.1	96.3	53.8	36.5	21.5	31.3	26.3	17.8
1.0819	7.5	51	177.8	70.08002	36.9	93.3	81.5	94.4	54.7	39	22.6	27.5	25.9	18.6
1.0433	24.5	52	182.245	90.37828	39.4	106.8	100	105	63.9	39.2	22.9	35.7	30.4	19.2
1.0646	15	53	175.895	70.08002	37.6	93.9	88.7	94.5	53.7	36.2	22	28.5	25.7	17.1
1.0706	12.4	54	179.07	69.51303	38.5	99	91.8	96.2	57.7	38.1	23.9	31.4	29.9	18.9
1.0399	26	54	183.515	104.3262	42.5	119.9	110.4	105.5	64.2	42.7	27	38.4	32	19.6
1.0726	11.5	54	171.45	73.36857	37.4	94.2	87.6	95.6	59.7	40.2	23.4	27.9	27	17.8
1.0874	5.2	55	170.815	64.52351	35.2	92.7	82.8	91.9	54.4	35.2	22.5	29.4	26.8	17
1.074	10.9	55	174.625	81.53323	41.1	106.9	95.3	98.2	57.4	37.1	21.8	34.1	31.1	19.2
1.0703	12.5	55	169.545	57.37943	33.4	88.8	78.2	87.5	50.8	33	19.7	25.3	22	15.8
1.065	14.8	55	173.355	76.88391	37.2	101.7	91.1	97.1	56.6	38.5	22.6	33.4	29.3	18.8
1.0418	25.2	55	188.595	90.03809	38.3	105.3	96.7	106.6	64	42.6	23.4	33.2	30	18.4
1.0647	14.9	56	176.53	79.15187	38.1	104	89.4	98.4	58.4	37.4	22.5	34.6	30.1	18.8
1.0601	17	56	173.99	76.09012	37.4	98.6	93	97	55.4	38.8	23.2	32.4	29.7	19
1.0745	10.6	57	167.005	67.01827	35.2	99.6	86.4	90.1	53	35	21.3	31.7	27.3	16.9
1.062	16.1	57	182.245	82.66721	39.4	103.4	96.7	100.7	59.3	38.6	22.8	31.8	29.1	19
1.0636	15.4	58	181.61	79.60546	38	100.2	88.1	97.8	57.1	38.9	23.6	30.9	29.6	18
1.0384	26.7	58	170.815	73.36857	35.1	94.9	94.9	100.2	56.8	35.9	21	27.8	26.1	17.6
1.0403	25.8	60	171.45	71.5542	40.4	97.2	93.3	94	54.3	35.7	21	31.3	28.7	18.3
1.0563	18.6	62	171.45	76.54371	38.3	104.7	95.6	93.7	54.4	37.1	22.7	30.3	26.3	18.3
1.0424	24.8	62	183.515	86.86294	40.6	104	98.2	101.1	59.3	40.3	23	32.6	28.5	19
1.0372	27.3	63	176.53	99.40477	40.2	117.6	113.8	111.8	63.4	41.1	22.3	35.1	29.6	18.5
1.0705	12.4	64	176.53	70.42022	37.9	95.8	82.8	94.5	61.2	39.1	22.3	29.8	28.9	18.3
1.0316	29.9	65	167.005	86.06915	40.8	106.4	100.5	100.5	59.2	38.1	24	35.9	30.5	19.1
1.0599	17	65	167.005	57.83303	34.7	93	79.7	87.6	50.7	33.4	20.1	28.5	24.8	16.5
1.0207	35	65	173.355	101.8315	38.8	119.6	118	114.3	61.3	42.1	23.4	34.9	30.1	19.4
1.0304	30.4	66	182.88	106.254	41.4	119.7	109	109.1	63.7	42.4	24.6	35.6	30.7	19.5
1.0256	32.6	67	184.785	103.3057	41.3	115.8	113.4	109.8	65.6	46	25.4	35.3	29.8	19.5
1.0334	29	67	173.99	90.49168	40.7	118.3	106.1	101.6	58.2	38.8	24.1	32.1	29.3	18.5
1.0641	15.2	68	175.895	70.53361	36.3	97.4	84.3	94.4	54.3	37.5	22.6	29.2	27.3	18.5
1.0308	30.2	69	179.07	97.74916	40.8	113.7	107.6	110	63.3	44	22.6	37.5	32.6	18.8
1.0736	11	70	170.18	60.89478	34.9	89.2	83.6	88.8	49.6	34.8	21.5	25.6	25.7	18.5
1.0236	33.6	72	177.165	91.17207	40.9	108.5	105	104.5	59.6	40.8	23.2	35.2	28.6	20.1
1.0328	29.3	72	167.64	84.70838	38.9	111.1	111.5	101.7	60.3	37.3	21.5	31.3	27.2	18
1.0399	26	72	179.07	86.52274	38.9	108.3	101.3	97.8	56	41.6	22.7	30.5	29.4	19.8
1.0271	31.9	74	177.8	94.12042	40.8	112.4	108.5	107.1	59.3	42.2	24.6	33.7	30	20.9

References

• Bailey, Covert (1994). Smart Exercise: Burning Fat, Getting Fit, Houghton-Mifflin Co., Boston, pp. 179-186.
• Behnke, A.R. and Wilmore, J.H. (1974). Evaluation and Regulation of Body Build and Composition, Prentice-Hall, Englewood Cliffs, N.J.
• Siri, W.E. (1956), Gross composition of the body, in Advances in Biological and Medical Physics, vol. IV, edited by J.H. Lawrence and C.A. Tobias, Academic Press, Inc., New York.
• Katch, Frank and McArdle, William (1977). Nutrition, Weight Control, and Exercise, Houghton Mifflin Co., Boston.
• Wilmore, Jack (1976). Athletic Training and Physical Fitness: Physiological Principles of the Conditioning Process, Allyn and Bacon, Inc., Boston.
• The Diet, Nutrition and the Prevention of Chronic Diseases Report (2003) of the Food and Agriculture Organization of the United Nations

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• SOCR Home page: http://www.SOCR.ucla.edu

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