Estimate Height and Weight

(from BSA)

Based upon data from the CDC, WHO, and AAP; use this calculator or the following tables to "reverse engineer" a height and weight from a known BSA:

Enter BSA:

Use this height: (cm)

and this weight: (kg)

BSA vs. Age

This chart shows BSA (meters²) versus age (months) for girls and boys:

Notes:

First of all, do everything you can to get the actual height and weight of the subjects on whom you are about to make statements about the normalcy of their hearts.

OK.
So you're not using this for your actual patients, right?
Good.

A feature request was made to "allow users to enter BSA" for the occasional case when the height and weight are not known— rather than always calculating BSA. Initially, this seemed reasonable. However, as I started to dig into the implementation, it became clear that this was going to violate a core principle of this version: always calculate the independent variable according to the source. Here are some of the problems:

Not all the calculators use the same BSA equation
It might be impossible to know which by equation the user arrived at the BSA they were entering
Some z-score equations do not use BSA as the independent measure.

So, I built this as more of programming exercise than anything else.

How it works

I used the published LMS data for height and weight (see links, above) to calculate BSA (Haycock formula) and construct the tables. Then, an exact match is sought within those tables. If an exact match is not found, an approximation is made based on the splines fitted through the height/weight relationship with BSA. If that approximation is not an exact match, the height and weight are incremented until an exact match is made.

height vs. BSA

weight vs. BSA

The calculator works perfectly for finding the known BSA's of average children (BSA's between about 0.1 and 1.86). For BSA values outside of that range, my prediction algorithm- while accurate- tends to make some strangely proportioned subjects. So again, I caution against using this for anything other than amusement.

Girls

Go to Boys

50%-ile BSA(Haycock), height, and weight data for girls (by age)
BSA	Age (mos)	Height (cm)	Weight (kg)
0.075	-4.0	31.07	0.65
0.104	-3.0	36.52	1.06
0.144	-2.0	42.33	1.73
0.190	-1.0	47.36	2.66
0.214	0.0	49.15	3.23
0.254	1.0	53.69	4.19
0.290	2.0	57.07	5.13
0.317	3.0	59.80	5.85
0.339	4.0	62.09	6.42
0.357	5.0	64.03	6.90
0.371	6.0	65.73	7.30
0.384	7.0	67.29	7.64
0.396	8.0	68.75	7.95
0.406	9.0	70.14	8.23
0.416	10.0	71.48	8.48
0.425	11.0	72.77	8.72
0.434	12.0	74.02	8.95
0.443	13.0	75.22	9.17
0.451	14.0	76.38	9.39
0.459	15.0	77.51	9.60
0.467	16.0	78.61	9.81
0.475	17.0	79.67	10.02
0.483	18.0	80.71	10.23
0.491	19.0	81.72	10.44
0.498	20.0	82.70	10.65
0.506	21.0	83.67	10.85
0.513	22.0	84.60	11.06
0.521	23.0	85.52	11.27
0.539	24.0	84.98	12.06
0.541	24.5	85.40	12.13
0.547	25.5	86.29	12.29
0.553	26.5	87.16	12.44
0.559	27.5	88.00	12.60
0.565	28.5	88.81	12.75
0.570	29.5	89.58	12.90
0.576	30.5	90.33	13.04
0.581	31.5	91.05	13.19
0.586	32.5	91.74	13.34
0.591	33.5	92.40	13.49
0.597	34.5	93.03	13.64
0.602	35.5	93.63	13.79
0.607	36.5	94.21	13.94
0.612	37.5	94.80	14.09
0.617	38.5	95.37	14.25
0.622	39.5	95.95	14.40
0.627	40.5	96.52	14.56
0.632	41.5	97.08	14.72
0.637	42.5	97.65	14.88
0.642	43.5	98.21	15.04
0.648	44.5	98.78	15.21
0.653	45.5	99.34	15.37
0.658	46.5	99.90	15.54
0.664	47.5	100.47	15.71
0.669	48.5	101.03	15.88
0.674	49.5	101.60	16.05
0.680	50.5	102.17	16.22
0.685	51.5	102.74	16.40
0.691	52.5	103.31	16.57
0.696	53.5	103.89	16.75
0.702	54.5	104.46	16.93
0.707	55.5	105.04	17.11
0.713	56.5	105.62	17.29
0.718	57.5	106.20	17.47
0.724	58.5	106.79	17.65
0.729	59.5	107.37	17.84
0.735	60.5	107.96	18.02
0.741	61.5	108.54	18.21
0.746	62.5	109.13	18.40
0.752	63.5	109.72	18.59
0.758	64.5	110.31	18.78
0.764	65.5	110.90	18.97
0.769	66.5	111.49	19.16
0.775	67.5	112.08	19.35
0.781	68.5	112.66	19.55
0.787	69.5	113.25	19.74
0.793	70.5	113.84	19.94
0.798	71.5	114.42	20.14
0.804	72.5	115.01	20.34
0.810	73.5	115.59	20.54
0.816	74.5	116.16	20.74
0.822	75.5	116.74	20.94
0.828	76.5	117.31	21.15
0.834	77.5	117.88	21.36
0.840	78.5	118.45	21.57
0.846	79.5	119.01	21.78
0.852	80.5	119.57	21.99
0.858	81.5	120.13	22.21
0.864	82.5	120.68	22.43
0.870	83.5	121.22	22.65
0.876	84.5	121.76	22.87
0.882	85.5	122.30	23.09
0.889	86.5	122.83	23.32
0.895	87.5	123.35	23.55
0.901	88.5	123.87	23.78
0.907	89.5	124.39	24.02
0.914	90.5	124.90	24.26
0.920	91.5	125.40	24.50
0.926	92.5	125.90	24.74
0.933	93.5	126.39	24.99
0.939	94.5	126.87	25.24
0.946	95.5	127.35	25.50
0.952	96.5	127.83	25.76
0.959	97.5	128.29	26.02
0.966	98.5	128.76	26.28
0.972	99.5	129.22	26.55
0.979	100.5	129.67	26.83
0.986	101.5	130.11	27.10
0.993	102.5	130.56	27.38
0.999	103.5	131.00	27.67
1.006	104.5	131.43	27.95
1.013	105.5	131.86	28.25
1.020	106.5	132.29	28.54
1.027	107.5	132.71	28.84
1.034	108.5	133.13	29.14
1.041	109.5	133.55	29.45
1.049	110.5	133.97	29.76
1.056	111.5	134.38	30.07
1.063	112.5	134.80	30.39
1.071	113.5	135.22	30.71
1.078	114.5	135.63	31.04
1.085	115.5	136.05	31.37
1.093	116.5	136.48	31.70
1.101	117.5	136.90	32.04
1.108	118.5	137.33	32.38
1.116	119.5	137.77	32.72
1.124	120.5	138.21	33.06
1.131	121.5	138.66	33.41
1.139	122.5	139.12	33.76
1.147	123.5	139.58	34.12
1.155	124.5	140.06	34.47
1.163	125.5	140.54	34.83
1.171	126.5	141.04	35.19
1.179	127.5	141.55	35.55
1.188	128.5	142.07	35.92
1.196	129.5	142.60	36.28
1.204	130.5	143.14	36.65
1.213	131.5	143.69	37.02
1.221	132.5	144.26	37.39
1.229	133.5	144.84	37.76
1.238	134.5	145.42	38.13
1.246	135.5	146.02	38.50
1.255	136.5	146.62	38.88
1.263	137.5	147.23	39.25
1.272	138.5	147.84	39.62
1.280	139.5	148.46	39.99
1.289	140.5	149.07	40.36
1.297	141.5	149.68	40.73
1.306	142.5	150.29	41.10
1.314	143.5	150.89	41.46
1.322	144.5	151.49	41.83
1.330	145.5	152.07	42.19
1.338	146.5	152.64	42.55
1.346	147.5	153.19	42.91
1.354	148.5	153.73	43.26
1.362	149.5	154.25	43.62
1.370	150.5	154.76	43.97
1.377	151.5	155.24	44.31
1.385	152.5	155.70	44.65
1.392	153.5	156.14	44.99
1.399	154.5	156.56	45.33
1.406	155.5	156.96	45.66
1.412	156.5	157.34	45.98
1.419	157.5	157.70	46.31
1.425	158.5	158.04	46.62
1.432	159.5	158.36	46.93
1.438	160.5	158.66	47.24
1.444	161.5	158.94	47.54
1.449	162.5	159.21	47.84
1.455	163.5	159.46	48.13
1.461	164.5	159.69	48.41
1.466	165.5	159.91	48.69
1.471	166.5	160.11	48.96
1.476	167.5	160.30	49.23
1.481	168.5	160.48	49.49
1.486	169.5	160.64	49.75
1.490	170.5	160.80	49.99
1.495	171.5	160.94	50.24
1.499	172.5	161.08	50.47
1.503	173.5	161.21	50.70
1.507	174.5	161.33	50.93
1.511	175.5	161.44	51.14
1.515	176.5	161.54	51.35
1.518	177.5	161.64	51.56
1.522	178.5	161.73	51.76
1.525	179.5	161.82	51.95
1.528	180.5	161.90	52.14
1.531	181.5	161.97	52.32
1.534	182.5	162.04	52.49
1.537	183.5	162.11	52.66
1.540	184.5	162.18	52.82
1.543	185.5	162.23	52.98
1.545	186.5	162.29	53.13
1.548	187.5	162.34	53.28
1.550	188.5	162.39	53.42
1.553	189.5	162.44	53.56
1.555	190.5	162.49	53.69
1.557	191.5	162.53	53.82
1.559	192.5	162.57	53.95
1.561	193.5	162.61	54.07
1.563	194.5	162.64	54.18
1.565	195.5	162.68	54.29
1.567	196.5	162.71	54.40
1.569	197.5	162.74	54.51
1.570	198.5	162.77	54.61
1.572	199.5	162.80	54.71
1.574	200.5	162.83	54.81
1.575	201.5	162.85	54.91
1.577	202.5	162.88	55.00
1.578	203.5	162.90	55.09
1.580	204.5	162.92	55.18
1.581	205.5	162.95	55.27
1.583	206.5	162.97	55.36
1.584	207.5	162.99	55.45
1.585	208.5	163.00	55.53
1.587	209.5	163.02	55.62
1.588	210.5	163.04	55.71
1.589	211.5	163.06	55.79
1.591	212.5	163.07	55.88
1.592	213.5	163.09	55.97
1.594	214.5	163.10	56.05
1.595	215.5	163.12	56.14
1.596	216.5	163.13	56.23
1.598	217.5	163.14	56.32
1.599	218.5	163.16	56.41
1.601	219.5	163.17	56.50
1.602	220.5	163.18	56.59
1.604	221.5	163.19	56.69
1.605	222.5	163.20	56.78
1.607	223.5	163.21	56.87
1.608	224.5	163.22	56.97
1.610	225.5	163.23	57.07
1.611	226.5	163.24	57.16
1.613	227.5	163.25	57.26
1.614	228.5	163.26	57.35
1.615	229.5	163.27	57.45
1.617	230.5	163.28	57.54
1.618	231.5	163.28	57.63
1.620	232.5	163.29	57.72
1.621	233.5	163.30	57.80
1.622	234.5	163.30	57.88
1.623	235.5	163.31	57.96
1.625	236.5	163.32	58.03
1.625	237.5	163.32	58.09
1.626	238.5	163.33	58.15
1.627	239.5	163.34	58.20
1.627	240.0	163.34	58.22

Boys

Go to Girls

50%-ile BSA(Haycock), height, and weight data for boys (by age)
BSA	Age (mos)	Height (cm)	Weight (kg)
0.078	-4.0	31.54	0.69
0.109	-3.0	37.22	1.14
0.149	-2.0	42.97	1.83
0.196	-1.0	48.10	2.79
0.219	0.0	49.88	3.35
0.265	1.0	54.72	4.47
0.306	2.0	58.42	5.57
0.336	3.0	61.43	6.38
0.359	4.0	63.89	7.00
0.378	5.0	65.90	7.51
0.393	6.0	67.62	7.93
0.406	7.0	69.16	8.30
0.418	8.0	70.60	8.62
0.428	9.0	71.97	8.90
0.438	10.0	73.28	9.16
0.448	11.0	74.54	9.41
0.456	12.0	75.75	9.65
0.465	13.0	76.92	9.87
0.473	14.0	78.05	10.10
0.481	15.0	79.15	10.31
0.489	16.0	80.21	10.52
0.497	17.0	81.25	10.73
0.505	18.0	82.26	10.94
0.512	19.0	83.24	11.14
0.519	20.0	84.20	11.35
0.527	21.0	85.13	11.55
0.534	22.0	86.05	11.75
0.541	23.0	86.94	11.95
0.557	24.0	86.45	12.67
0.560	24.5	86.86	12.74
0.565	25.5	87.65	12.88
0.570	26.5	88.42	13.02
0.575	27.5	89.18	13.15
0.580	28.5	89.91	13.29
0.585	29.5	90.63	13.43
0.590	30.5	91.33	13.56
0.595	31.5	92.02	13.70
0.600	32.5	92.70	13.84
0.605	33.5	93.36	13.97
0.610	34.5	94.01	14.12
0.615	35.5	94.65	14.26
0.620	36.5	95.27	14.40
0.625	37.5	95.91	14.55
0.630	38.5	96.55	14.70
0.635	39.5	97.17	14.85
0.640	40.5	97.79	15.00
0.646	41.5	98.40	15.16
0.651	42.5	99.00	15.32
0.656	43.5	99.60	15.48
0.661	44.5	100.19	15.64
0.667	45.5	100.78	15.81
0.672	46.5	101.36	15.98
0.677	47.5	101.94	16.15
0.683	48.5	102.51	16.32
0.688	49.5	103.08	16.49
0.693	50.5	103.65	16.66
0.699	51.5	104.21	16.84
0.704	52.5	104.77	17.02
0.710	53.5	105.33	17.20
0.715	54.5	105.88	17.38
0.721	55.5	106.43	17.56
0.726	56.5	106.99	17.74
0.732	57.5	107.53	17.93
0.737	58.5	108.08	18.11
0.743	59.5	108.63	18.30
0.749	60.5	109.18	18.49
0.754	61.5	109.72	18.67
0.760	62.5	110.26	18.86
0.765	63.5	110.81	19.05
0.771	64.5	111.35	19.24
0.776	65.5	111.89	19.43
0.782	66.5	112.43	19.62
0.788	67.5	112.97	19.81
0.793	68.5	113.51	20.00
0.799	69.5	114.05	20.20
0.804	70.5	114.59	20.39
0.810	71.5	115.12	20.58
0.816	72.5	115.66	20.78
0.821	73.5	116.20	20.97
0.827	74.5	116.73	21.17
0.832	75.5	117.27	21.36
0.838	76.5	117.80	21.56
0.844	77.5	118.33	21.76
0.849	78.5	118.87	21.96
0.855	79.5	119.40	22.16
0.861	80.5	119.93	22.36
0.866	81.5	120.46	22.56
0.872	82.5	120.98	22.76
0.878	83.5	121.51	22.96
0.883	84.5	122.03	23.17
0.889	85.5	122.55	23.37
0.895	86.5	123.07	23.58
0.900	87.5	123.59	23.79
0.906	88.5	124.10	24.00
0.912	89.5	124.62	24.21
0.918	90.5	125.13	24.43
0.924	91.5	125.63	24.64
0.930	92.5	126.14	24.86
0.935	93.5	126.64	25.08
0.941	94.5	127.14	25.30
0.947	95.5	127.63	25.53
0.953	96.5	128.12	25.75
0.959	97.5	128.61	25.98
0.965	98.5	129.10	26.21
0.971	99.5	129.58	26.45
0.977	100.5	130.06	26.68
0.983	101.5	130.53	26.92
0.990	102.5	131.00	27.16
0.996	103.5	131.46	27.41
1.002	104.5	131.93	27.66
1.008	105.5	132.38	27.91
1.015	106.5	132.84	28.16
1.021	107.5	133.29	28.42
1.027	108.5	133.73	28.68
1.034	109.5	134.18	28.95
1.040	110.5	134.62	29.21
1.047	111.5	135.05	29.48
1.053	112.5	135.48	29.76
1.060	113.5	135.91	30.04
1.067	114.5	136.33	30.32
1.073	115.5	136.76	30.60
1.080	116.5	137.17	30.89
1.087	117.5	137.59	31.19
1.094	118.5	138.00	31.48
1.101	119.5	138.41	31.78
1.108	120.5	138.82	32.09
1.115	121.5	139.23	32.40
1.122	122.5	139.64	32.71
1.129	123.5	140.04	33.03
1.136	124.5	140.45	33.35
1.143	125.5	140.85	33.67
1.151	126.5	141.26	34.00
1.158	127.5	141.66	34.34
1.165	128.5	142.07	34.68
1.173	129.5	142.48	35.02
1.180	130.5	142.89	35.37
1.188	131.5	143.31	35.72
1.196	132.5	143.73	36.07
1.204	133.5	144.15	36.43
1.212	134.5	144.58	36.80
1.220	135.5	145.02	37.17
1.228	136.5	145.46	37.54
1.236	137.5	145.91	37.92
1.244	138.5	146.37	38.30
1.252	139.5	146.83	38.68
1.261	140.5	147.31	39.07
1.269	141.5	147.79	39.47
1.278	142.5	148.29	39.87
1.286	143.5	148.79	40.27
1.295	144.5	149.31	40.67
1.304	145.5	149.84	41.08
1.313	146.5	150.38	41.50
1.322	147.5	150.93	41.92
1.331	148.5	151.50	42.34
1.340	149.5	152.07	42.76
1.349	150.5	152.66	43.19
1.359	151.5	153.26	43.62
1.368	152.5	153.87	44.05
1.378	153.5	154.50	44.49
1.387	154.5	155.13	44.93
1.397	155.5	155.76	45.37
1.406	156.5	156.41	45.81
1.416	157.5	157.06	46.26
1.426	158.5	157.72	46.71
1.435	159.5	158.38	47.16
1.445	160.5	159.03	47.61
1.455	161.5	159.69	48.06
1.465	162.5	160.35	48.51
1.474	163.5	161.00	48.96
1.484	164.5	161.65	49.42
1.494	165.5	162.29	49.87
1.503	166.5	162.92	50.33
1.513	167.5	163.54	50.78
1.522	168.5	164.14	51.23
1.532	169.5	164.74	51.68
1.541	170.5	165.31	52.13
1.550	171.5	165.88	52.58
1.559	172.5	166.42	53.03
1.568	173.5	166.95	53.47
1.577	174.5	167.46	53.91
1.586	175.5	167.96	54.35
1.594	176.5	168.43	54.79
1.603	177.5	168.89	55.22
1.611	178.5	169.32	55.65
1.619	179.5	169.74	56.07
1.627	180.5	170.14	56.49
1.635	181.5	170.52	56.91
1.643	182.5	170.88	57.32
1.650	183.5	171.23	57.72
1.658	184.5	171.55	58.12
1.665	185.5	171.86	58.51
1.672	186.5	172.16	58.90
1.679	187.5	172.43	59.28
1.686	188.5	172.70	59.66
1.692	189.5	172.95	60.03
1.699	190.5	173.18	60.39
1.705	191.5	173.40	60.75
1.711	192.5	173.61	61.10
1.717	193.5	173.81	61.44
1.723	194.5	173.99	61.77
1.728	195.5	174.17	62.10
1.734	196.5	174.33	62.42
1.739	197.5	174.49	62.73
1.744	198.5	174.63	63.03
1.749	199.5	174.77	63.33
1.754	200.5	174.90	63.62
1.758	201.5	175.02	63.90
1.763	202.5	175.13	64.17
1.767	203.5	175.24	64.44
1.772	204.5	175.34	64.70
1.776	205.5	175.44	64.95
1.780	206.5	175.53	65.20
1.783	207.5	175.61	65.43
1.787	208.5	175.69	65.67
1.791	209.5	175.77	65.89
1.794	210.5	175.84	66.11
1.798	211.5	175.90	66.32
1.801	212.5	175.97	66.52
1.804	213.5	176.03	66.72
1.807	214.5	176.08	66.92
1.810	215.5	176.13	67.11
1.813	216.5	176.19	67.29
1.816	217.5	176.23	67.47
1.818	218.5	176.28	67.64
1.821	219.5	176.32	67.81
1.823	220.5	176.36	67.98
1.826	221.5	176.40	68.14
1.828	222.5	176.44	68.30
1.831	223.5	176.47	68.46
1.833	224.5	176.50	68.61
1.835	225.5	176.53	68.76
1.838	226.5	176.56	68.91
1.840	227.5	176.59	69.05
1.842	228.5	176.62	69.19
1.844	229.5	176.64	69.34
1.846	230.5	176.67	69.47
1.848	231.5	176.69	69.61
1.850	232.5	176.71	69.74
1.852	233.5	176.73	69.87
1.854	234.5	176.75	70.00
1.856	235.5	176.77	70.12
1.858	236.5	176.79	70.24
1.859	237.5	176.81	70.35
1.861	238.5	176.83	70.46
1.862	239.5	176.84	70.55
1.863	240.0	176.85	70.60

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