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Calculator: Weight-for-age percentiles and Z-scores, males 2 to 20 years (CDC)


 Calculator: Weight-for-age percentiles and Z-scores, males 2 to 20 years (CDC)

 
Input
 
Age  
Weight  

 
Results
 
Important: Inputs must be complete to perform calculation.

 
 
Z-score  
Percentile  
 
Decimal precision  

 
 

 
Notes
  • This calculator is based on the United States Centers for Disease Control and Prevention (CDC) growth reference.
  • Results will be slightly different from calculators or charts that use the growth standards from the World Health Organization (WHO) or International Obesity Task Force (IOTF).
  • Weight percentiles are best interpreted with reference to height (see calculators for Body Mass Index).
  • At the extremes (>97th percentile or <3rd percentile), small differences in percentiles represent clinically important differences. At these extremes, the Z-score is a more precise reflection of how far the measurement deviates from the mean and is a useful tool for tracking changes.
  • For all LMS tables, the row in the table corresponding to the patient-specific value is found in the first column of the table; values to be used for L (the Box-Cox power), M (the median), and S (the generalized coefficient of variation) in the equation for Z-score are retrieved.
  • The accuracy of the calculation can be assessed by viewing the graph of weight-for-age percentiles for this sex and age group in UpToDate.
  • Z-scores may be used to do a table lookup for the corresponding percentile in the Normal table percentiles for Z-score table (below). Numbers along the left side (Y-axis) of the table represent the first number and first decimal place of the Z-score, while the numbers along the top (X-axis) of the table represent the second decimal position of the Z-score.

 
Equations used
 
Z_Score = ((Weight/M)L - 1) / (L * S)
Percentile = ZtoPercentile(Z-score)

 

 
References
  1. Centers for Disease Control and Prevention, National Center for Health Statistics. Clinical growth charts. https://www.cdc.gov/growthcharts/clinical_charts.htm (Accessed on June 26, 2023).

 

 LMS table: Weight-for-age percentiles, males 2 to 20 years, CDC growth reference (United States)

 
Age [months] Power [L] Median [M] Variation [S]
24 -0.2062 12.6708 0.1081
24.5 -0.2165 12.7415 0.1082
25.5 -0.2398 12.8810 0.1083
26.5 -0.2663 13.0184 0.1084
27.5 -0.2958 13.1545 0.1086
28.5 -0.3277 13.2899 0.1088
29.5 -0.3618 13.4252 0.1091
30.5 -0.3976 13.5609 0.1094
31.5 -0.4345 13.6974 0.1097
32.5 -0.4722 13.8350 0.1101
33.5 -0.5101 13.9742 0.1105
34.5 -0.5479 14.1150 0.1109
35.5 -0.5851 14.2578 0.1114
36.5 -0.6213 14.4026 0.1119
37.5 -0.6563 14.5496 0.1124
38.5 -0.6897 14.6989 0.1130
39.5 -0.7214 14.8505 0.1136
40.5 -0.7512 15.0045 0.1142
41.5 -0.7789 15.1608 0.1148
42.5 -0.8045 15.3194 0.1155
43.5 -0.8280 15.4803 0.1162
44.5 -0.8494 15.6434 0.1169
45.5 -0.8687 15.8087 0.1176
46.5 -0.8860 15.9761 0.1184
47.5 -0.9015 16.1455 0.1192
48.5 -0.9152 16.3168 0.1200
49.5 -0.9274 16.4899 0.1208
50.5 -0.9381 16.6647 0.1216
51.5 -0.9475 16.8411 0.1224
52.5 -0.9558 17.0190 0.1232
53.5 -0.9631 17.1984 0.1240
54.5 -0.9696 17.3791 0.1249
55.5 -0.9755 17.5610 0.1257
56.5 -0.9809 17.7440 0.1266
57.5 -0.9860 17.9281 0.1274
58.5 -0.9909 18.1132 0.1282
59.5 -0.9956 18.2991 0.1291
60.5 -1.0005 18.4859 0.1299
61.5 -1.0054 18.6735 0.1307
62.5 -1.0106 18.8618 0.1315
63.5 -1.0161 19.0508 0.1323
64.5 -1.0219 19.2404 0.1331
65.5 -1.0282 19.4306 0.1339
66.5 -1.0350 19.6214 0.1347
67.5 -1.0424 19.8127 0.1354
68.5 -1.0503 20.0046 0.1362
69.5 -1.0587 20.1970 0.1370
70.5 -1.0677 20.3900 0.1377
71.5 -1.0773 20.5836 0.1384
72.5 -1.0875 20.7777 0.1391
73.5 -1.0982 20.9724 0.1399
74.5 -1.1093 21.1678 0.1406
75.5 -1.1210 21.3638 0.1413
76.5 -1.1330 21.5606 0.1419
77.5 -1.1454 21.7581 0.1426
78.5 -1.1581 21.9564 0.1433
79.5 -1.1711 22.1557 0.1440
80.5 -1.1841 22.3558 0.1447
81.5 -1.1973 22.5570 0.1453
82.5 -1.2105 22.7593 0.1460
83.5 -1.2236 22.9627 0.1467
84.5 -1.2365 23.1674 0.1473
85.5 -1.2492 23.3734 0.1480
86.5 -1.2616 23.5809 0.1487
87.5 -1.2735 23.7898 0.1494
88.5 -1.2850 24.0003 0.1501
89.5 -1.2960 24.2125 0.1508
90.5 -1.3063 24.4265 0.1515
91.5 -1.3159 24.6423 0.1522
92.5 -1.3248 24.8601 0.1529
93.5 -1.3329 25.0799 0.1537
94.5 -1.3401 25.3019 0.1544
95.5 -1.3464 25.5261 0.1552
96.5 -1.3518 25.7526 0.1560
97.5 -1.3563 25.9815 0.1568
98.5 -1.3597 26.2128 0.1576
99.5 -1.3622 26.4468 0.1584
100.5 -1.3636 26.6834 0.1593
101.5 -1.3640 26.9227 0.1601
102.5 -1.3635 27.1649 0.1610
103.5 -1.3619 27.4099 0.1619
104.5 -1.3593 27.6580 0.1628
105.5 -1.3557 27.9090 0.1638
106.5 -1.3512 28.1632 0.1647
107.5 -1.3458 28.4206 0.1657
108.5 -1.3394 28.6813 0.1667
109.5 -1.3322 28.9453 0.1676
110.5 -1.3241 29.2127 0.1686
111.5 -1.3153 29.4836 0.1697
112.5 -1.3057 29.7580 0.1707
113.5 -1.2954 30.0360 0.1717
114.5 -1.2844 30.3177 0.1727
115.5 -1.2728 30.6031 0.1738
116.5 -1.2605 30.8923 0.1748
117.5 -1.2478 31.1853 0.1758
118.5 -1.2345 31.4823 0.1769
119.5 -1.2208 31.7831 0.1779
120.5 -1.2067 32.0880 0.1789
121.5 -1.1922 32.3969 0.1799
122.5 -1.1774 32.7099 0.1810
123.5 -1.1622 33.0270 0.1820
124.5 -1.1469 33.3484 0.1829
125.5 -1.1313 33.6739 0.1839
126.5 -1.1155 34.0036 0.1848
127.5 -1.0997 34.3377 0.1858
128.5 -1.0837 34.6760 0.1867
129.5 -1.0676 35.0186 0.1876
130.5 -1.0515 35.3656 0.1884
131.5 -1.0354 35.7169 0.1892
132.5 -1.0193 36.0726 0.1900
133.5 -1.0032 36.4327 0.1908
134.5 -0.9873 36.7970 0.1915
135.5 -0.9714 37.1658 0.1922
136.5 -0.9557 37.5388 0.1929
137.5 -0.9401 37.9162 0.1935
138.5 -0.9247 38.2978 0.1941
139.5 -0.9095 38.6836 0.1946
140.5 -0.8944 39.0736 0.1951
141.5 -0.8797 39.4678 0.1955
142.5 -0.8652 39.8660 0.1959
143.5 -0.8509 40.2683 0.1963
144.5 -0.8370 40.6744 0.1966
145.5 -0.8233 41.0844 0.1969
146.5 -0.8100 41.4982 0.1971
147.5 -0.7970 41.9155 0.1972
148.5 -0.7844 42.3364 0.1974
149.5 -0.7721 42.7607 0.1974
150.5 -0.7603 43.1883 0.1975
151.5 -0.7488 43.6190 0.1974
152.5 -0.7378 44.0526 0.1974
153.5 -0.7272 44.4890 0.1973
154.5 -0.7170 44.9281 0.1971
155.5 -0.7074 45.3696 0.1969
156.5 -0.6982 45.8134 0.1967
157.5 -0.6895 46.2592 0.1964
158.5 -0.6813 46.7068 0.1960
159.5 -0.6737 47.1561 0.1957
160.5 -0.6666 47.6067 0.1953
161.5 -0.6601 48.0585 0.1948
162.5 -0.6541 48.5111 0.1943
163.5 -0.6488 48.9644 0.1938
164.5 -0.6441 49.4181 0.1933
165.5 -0.6401 49.8719 0.1927
166.5 -0.6367 50.3255 0.1921
167.5 -0.6339 50.7786 0.1915
168.5 -0.6319 51.2310 0.1908
169.5 -0.6305 51.6823 0.1901
170.5 -0.6299 52.1323 0.1894
171.5 -0.6300 52.5806 0.1887
172.5 -0.6309 53.0270 0.1880
173.5 -0.6325 53.4711 0.1872
174.5 -0.6349 53.9126 0.1864
175.5 -0.6381 54.3513 0.1857
176.5 -0.6420 54.7868 0.1849
177.5 -0.6468 55.2188 0.1841
178.5 -0.6523 55.6470 0.1833
179.5 -0.6586 56.0712 0.1825
180.5 -0.6656 56.4910 0.1817
181.5 -0.6734 56.9061 0.1809
182.5 -0.6820 57.3163 0.1801
183.5 -0.6913 57.7214 0.1793
184.5 -0.7013 58.1210 0.1785
185.5 -0.7119 58.5149 0.1777
186.5 -0.7232 58.9029 0.1769
187.5 -0.7351 59.2848 0.1761
188.5 -0.7476 59.6603 0.1754
189.5 -0.7606 60.0293 0.1746
190.5 -0.7740 60.3916 0.1739
191.5 -0.7878 60.7470 0.1732
192.5 -0.8020 61.0954 0.1725
193.5 -0.8164 61.4366 0.1718
194.5 -0.8311 61.7706 0.1711
195.5 -0.8459 62.0972 0.1705
196.5 -0.8608 62.4164 0.1698
197.5 -0.8757 62.7281 0.1692
198.5 -0.8904 63.0323 0.1687
199.5 -0.9051 63.3289 0.1681
200.5 -0.9195 63.6180 0.1676
201.5 -0.9335 63.8996 0.1670
202.5 -0.9473 64.1737 0.1666
203.5 -0.9605 64.4403 0.1661
204.5 -0.9732 64.6996 0.1656
205.5 -0.9854 64.9516 0.1652
206.5 -0.9969 65.1965 0.1648
207.5 -1.0077 65.4344 0.1644
208.5 -1.0178 65.6654 0.1641
209.5 -1.0270 65.8897 0.1638
210.5 -1.0354 66.1075 0.1634
211.5 -1.0429 66.3190 0.1631
212.5 -1.0495 66.5244 0.1629
213.5 -1.0552 66.7239 0.1626
214.5 -1.0598 66.9178 0.1624
215.5 -1.0635 67.1064 0.1621
216.5 -1.0662 67.2899 0.1619
217.5 -1.0679 67.4686 0.1617
218.5 -1.0686 67.6428 0.1615
219.5 -1.0683 67.8128 0.1614
220.5 -1.0669 67.9788 0.1612
221.5 -1.0646 68.1411 0.1610
222.5 -1.0613 68.3000 0.1609
223.5 -1.0571 68.4558 0.1607
224.5 -1.0520 68.6087 0.1606
225.5 -1.0460 68.7589 0.1605
226.5 -1.0392 68.9065 0.1603
227.5 -1.0316 69.0518 0.1602
228.5 -1.0233 69.1947 0.1601
229.5 -1.0144 69.3353 0.1601
230.5 -1.0050 69.4735 0.1600
231.5 -0.9951 69.6093 0.1599
232.5 -0.9850 69.7423 0.1599
233.5 -0.9747 69.8722 0.1600
234.5 -0.9644 69.9987 0.1600
235.5 -0.9543 70.1210 0.1601
236.5 -0.9446 70.2386 0.1603
237.5 -0.9354 70.3504 0.1605
238.5 -0.9271 70.4555 0.1608
239.5 -0.9197 70.5525 0.1612
240 -0.9165 70.5976 0.1615

 

 LMS table: Normal table percentiles for Z-score

 
Z 1 3 5 7 9
-3.0 0.13% 0.12% 0.11% 0.11% 0.10%
-2.9 0.18% 0.17% 0.16% 0.15% 0.14%
-2.8 0.25% 0.23% 0.22% 0.21% 0.19%
-2.7 0.34% 0.32% 0.30% 0.28% 0.26%
-2.6 0.45% 0.43% 0.40% 0.38% 0.36%
-2.5 0.60% 0.57% 0.54% 0.51% 0.48%
-2.4 0.80% 0.75% 0.71% 0.68% 0.64%
-2.3 1.04% 0.99% 0.94% 0.89% 0.84%
-2.2 1.36% 1.29% 1.22% 1.16% 1.10%
-2.1 1.74% 1.66% 1.58% 1.50% 1.43%
-2.0 2.22% 2.12% 2.02% 1.92% 1.83%
-1.9 2.81% 2.68% 2.56% 2.44% 2.33%
-1.8 3.52% 3.36% 3.22% 3.07% 2.94%
-1.7 4.36% 4.18% 4.01% 3.84% 3.67%
-1.6 5.37% 5.16% 4.95% 4.75% 4.55%
-1.5 6.55% 6.30% 6.06% 5.82% 5.59%
-1.4 7.93% 7.64% 7.35% 7.08% 6.81%
-1.3 9.51% 9.18% 8.85% 8.53% 8.23%
-1.2 11.31% 10.94% 10.57% 10.20% 9.85%
-1.1 13.35% 12.92% 12.51% 12.10% 11.70%
-1.0 15.63% 15.15% 14.69% 14.23% 13.79%
-0.9 18.14% 17.62% 17.11% 16.60% 16.11%
-0.8 20.90% 20.33% 19.77% 19.22% 18.67%
-0.7 23.89% 23.27% 22.66% 22.07% 21.48%
-0.6 27.09% 26.44% 25.79% 25.14% 24.51%
-0.5 30.50% 29.81% 29.12% 28.43% 27.76%
-0.4 34.09% 33.36% 32.64% 31.92% 31.21%
-0.3 37.83% 37.07% 36.32% 35.57% 34.83%
-0.2 41.68% 40.91% 40.13% 39.36% 38.59%
-0.1 45.62% 44.83% 44.04% 43.25% 42.47%
-0.0 49.60% 48.80% 48.01% 47.21% 46.41%
0.0 50.40% 51.20% 51.99% 52.79% 53.59%
0.1 54.38% 55.17% 55.96% 56.75% 57.54%
0.2 58.32% 59.10% 59.87% 60.64% 61.41%
0.3 62.17% 62.93% 63.68% 64.43% 65.17%
0.4 65.91% 66.64% 67.36% 68.08% 68.79%
0.5 69.50% 70.19% 70.88% 71.57% 72.24%
0.6 72.91% 73.57% 74.22% 74.86% 75.49%
0.7 76.12% 76.73% 77.34% 77.94% 78.52%
0.8 79.10% 79.67% 80.23% 80.79% 81.33%
0.9 81.86% 82.38% 82.89% 83.40% 83.89%
1.0 84.38% 84.85% 85.31% 85.77% 86.21%
1.1 86.65% 87.08% 87.49% 87.90% 88.30%
1.2 88.69% 89.07% 89.44% 89.80% 90.15%
1.3 90.49% 90.82% 91.15% 91.47% 91.77%
1.4 92.07% 92.36% 92.65% 92.92% 93.19%
1.5 93.45% 93.70% 93.94% 94.18% 94.41%
1.6 94.63% 94.85% 95.05% 95.25% 95.45%
1.7 95.64% 95.82% 95.99% 96.16% 96.33%
1.8 96.49% 96.64% 96.78% 96.93% 97.06%
1.9 97.19% 97.32% 97.44% 97.56% 97.67%
2.0 97.78% 97.88% 97.98% 98.08% 98.17%
2.1 98.26% 98.34% 98.42% 98.50% 98.57%
2.2 98.65% 98.71% 98.78% 98.84% 98.90%
2.3 98.96% 99.01% 99.06% 99.11% 99.16%
2.4 99.20% 99.25% 99.29% 99.32% 99.36%
2.5 99.40% 99.43% 99.46% 99.49% 99.52%
2.6 99.55% 99.57% 99.60% 99.62% 99.64%
2.7 99.66% 99.68% 99.70% 99.72% 99.74%
2.8 99.75% 99.77% 99.78% 99.80% 99.81%
2.9 99.82% 99.83% 99.84% 99.85% 99.86%
3.0 99.87% 99.88% 99.89% 99.89% 99.90%
Only digits 0 to 9 and a single decimal point (".") are acceptable as numeric inputs. Attempted input of other characters into a numeric field may lead to an incorrect result.

Information on this page may not appear correctly if printed.

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