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


 Calculator: Weight-for-age percentiles and Z-scores, females 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, females 2 to 20 years, CDC growth reference (United States)

 
Age [months] Power [L] Median [M] Variation [S]
24 -0.7353 12.0550 0.1074
24.5 -0.7522 12.1346 0.1077
25.5 -0.7842 12.2910 0.1085
26.5 -0.8141 12.4447 0.1093
27.5 -0.8419 12.5962 0.1101
28.5 -0.8679 12.7462 0.1111
29.5 -0.8921 12.8952 0.1120
30.5 -0.9147 13.0436 0.1130
31.5 -0.9359 13.1918 0.1141
32.5 -0.9557 13.3402 0.1151
33.5 -0.9744 13.4891 0.1162
34.5 -0.9920 13.6388 0.1173
35.5 -1.0086 13.7894 0.1184
36.5 -1.0245 13.9411 0.1195
37.5 -1.0396 14.0941 0.1206
38.5 -1.0540 14.2484 0.1217
39.5 -1.0679 14.4043 0.1228
40.5 -1.0814 14.5617 0.1239
41.5 -1.0944 14.7206 0.1249
42.5 -1.1070 14.8812 0.1260
43.5 -1.1193 15.0434 0.1270
44.5 -1.1314 15.2072 0.1280
45.5 -1.1431 15.3726 0.1290
46.5 -1.1547 15.5396 0.1300
47.5 -1.1660 15.7082 0.1309
48.5 -1.1770 15.8782 0.1318
49.5 -1.1879 16.0498 0.1327
50.5 -1.1985 16.2228 0.1336
51.5 -1.2089 16.3972 0.1344
52.5 -1.2190 16.5729 0.1352
53.5 -1.2288 16.7499 0.1360
54.5 -1.2383 16.9283 0.1368
55.5 -1.2475 17.1078 0.1376
56.5 -1.2564 17.2886 0.1383
57.5 -1.2649 17.4705 0.1391
58.5 -1.2729 17.6536 0.1398
59.5 -1.2805 17.8378 0.1405
60.5 -1.2877 18.0231 0.1412
61.5 -1.2943 18.2096 0.1419
62.5 -1.3004 18.3971 0.1426
63.5 -1.3060 18.5857 0.1433
64.5 -1.3109 18.7754 0.1439
65.5 -1.3153 18.9663 0.1446
66.5 -1.3190 19.1583 0.1453
67.5 -1.3220 19.3515 0.1460
68.5 -1.3244 19.5459 0.1467
69.5 -1.3261 19.7415 0.1474
70.5 -1.3270 19.9384 0.1481
71.5 -1.3273 20.1367 0.1489
72.5 -1.3268 20.3364 0.1496
73.5 -1.3255 20.5375 0.1503
74.5 -1.3236 20.7401 0.1511
75.5 -1.3209 20.9444 0.1519
76.5 -1.3175 21.1503 0.1527
77.5 -1.3133 21.3580 0.1535
78.5 -1.3085 21.5675 0.1543
79.5 -1.3029 21.7789 0.1552
80.5 -1.2967 21.9923 0.1560
81.5 -1.2899 22.2079 0.1569
82.5 -1.2824 22.4256 0.1578
83.5 -1.2742 22.6456 0.1588
84.5 -1.2655 22.8680 0.1597
85.5 -1.2563 23.0929 0.1607
86.5 -1.2465 23.3204 0.1616
87.5 -1.2363 23.5505 0.1626
88.5 -1.2256 23.7834 0.1636
89.5 -1.2144 24.0192 0.1647
90.5 -1.2029 24.2579 0.1657
91.5 -1.1910 24.4996 0.1667
92.5 -1.1788 24.7445 0.1678
93.5 -1.1664 24.9926 0.1689
94.5 -1.1537 25.2440 0.1700
95.5 -1.1408 25.4988 0.1710
96.5 -1.1277 25.7570 0.1721
97.5 -1.1145 26.0187 0.1732
98.5 -1.1012 26.2840 0.1744
99.5 -1.0879 26.5530 0.1755
100.5 -1.0745 26.8256 0.1766
101.5 -1.0612 27.1019 0.1777
102.5 -1.0478 27.3820 0.1788
103.5 -1.0346 27.6659 0.1799
104.5 -1.0215 27.9537 0.1810
105.5 -1.0085 28.2452 0.1820
106.5 -0.9957 28.5406 0.1831
107.5 -0.9831 28.8398 0.1842
108.5 -0.9707 29.1429 0.1852
109.5 -0.9585 29.4498 0.1862
110.5 -0.9466 29.7605 0.1872
111.5 -0.9350 30.0749 0.1882
112.5 -0.9238 30.3931 0.1892
113.5 -0.9128 30.7149 0.1901
114.5 -0.9022 31.0403 0.1910
115.5 -0.8920 31.3693 0.1919
116.5 -0.8821 31.7017 0.1928
117.5 -0.8727 32.0374 0.1936
118.5 -0.8636 32.3765 0.1944
119.5 -0.8550 32.7187 0.1952
120.5 -0.8469 33.0639 0.1959
121.5 -0.8392 33.4121 0.1967
122.5 -0.8319 33.7630 0.1973
123.5 -0.8252 34.1166 0.1980
124.5 -0.8189 34.4727 0.1986
125.5 -0.8131 34.8312 0.1991
126.5 -0.8079 35.1918 0.1996
127.5 -0.8031 35.5544 0.2001
128.5 -0.7989 35.9188 0.2006
129.5 -0.7952 36.2849 0.2010
130.5 -0.7920 36.6524 0.2014
131.5 -0.7894 37.0211 0.2017
132.5 -0.7874 37.3909 0.2020
133.5 -0.7859 37.7615 0.2022
134.5 -0.7849 38.1327 0.2024
135.5 -0.7846 38.5043 0.2026
136.5 -0.7848 38.8761 0.2027
137.5 -0.7855 39.2477 0.2028
138.5 -0.7869 39.6191 0.2028
139.5 -0.7889 39.9900 0.2029
140.5 -0.7914 40.3601 0.2028
141.5 -0.7945 40.7292 0.2027
142.5 -0.7983 41.0970 0.2026
143.5 -0.8026 41.4634 0.2025
144.5 -0.8076 41.8280 0.2023
145.5 -0.8132 42.1906 0.2021
146.5 -0.8194 42.5511 0.2018
147.5 -0.8262 42.9091 0.2015
148.5 -0.8336 43.2644 0.2012
149.5 -0.8416 43.6168 0.2008
150.5 -0.8503 43.9661 0.2004
151.5 -0.8596 44.3120 0.2000
152.5 -0.8695 44.6544 0.1995
153.5 -0.8801 44.9929 0.1990
154.5 -0.8913 45.3274 0.1985
155.5 -0.9031 45.6578 0.1979
156.5 -0.9155 45.9837 0.1974
157.5 -0.9286 46.3050 0.1968
158.5 -0.9422 46.6216 0.1961
159.5 -0.9565 46.9331 0.1955
160.5 -0.9714 47.2396 0.1948
161.5 -0.9869 47.5408 0.1941
162.5 -1.0031 47.8366 0.1933
163.5 -1.0197 48.1269 0.1926
164.5 -1.0370 48.4114 0.1918
165.5 -1.0548 48.6902 0.1910
166.5 -1.0732 48.9630 0.1902
167.5 -1.0922 49.2299 0.1894
168.5 -1.1116 49.4908 0.1886
169.5 -1.1316 49.7454 0.1877
170.5 -1.1520 49.9939 0.1869
171.5 -1.1729 50.2362 0.1860
172.5 -1.1942 50.4722 0.1851
173.5 -1.2159 50.7020 0.1842
174.5 -1.2380 50.9254 0.1833
175.5 -1.2604 51.1426 0.1824
176.5 -1.2832 51.3535 0.1815
177.5 -1.3062 51.5582 0.1806
178.5 -1.3295 51.7568 0.1797
179.5 -1.3529 51.9493 0.1788
180.5 -1.3765 52.1357 0.1779
181.5 -1.4002 52.3162 0.1771
182.5 -1.4239 52.4908 0.1762
183.5 -1.4476 52.6597 0.1753
184.5 -1.4712 52.8230 0.1744
185.5 -1.4948 52.9808 0.1736
186.5 -1.5182 53.1333 0.1728
187.5 -1.5413 53.2806 0.1719
188.5 -1.5641 53.4228 0.1711
189.5 -1.5866 53.5603 0.1704
190.5 -1.6087 53.6931 0.1696
191.5 -1.6302 53.8214 0.1688
192.5 -1.6512 53.9454 0.1681
193.5 -1.6717 54.0654 0.1674
194.5 -1.6914 54.1816 0.1668
195.5 -1.7104 54.2941 0.1661
196.5 -1.7285 54.4032 0.1655
197.5 -1.7459 54.5092 0.1649
198.5 -1.7622 54.6122 0.1644
199.5 -1.7776 54.7126 0.1638
200.5 -1.7920 54.8104 0.1634
201.5 -1.8053 54.9061 0.1629
202.5 -1.8174 54.9998 0.1625
203.5 -1.8284 55.0917 0.1621
204.5 -1.8381 55.1822 0.1618
205.5 -1.8466 55.2714 0.1614
206.5 -1.8537 55.3595 0.1612
207.5 -1.8596 55.4469 0.1609
208.5 -1.8641 55.5336 0.1607
209.5 -1.8672 55.6200 0.1606
210.5 -1.8690 55.7062 0.1604
211.5 -1.8694 55.7925 0.1603
212.5 -1.8684 55.8789 0.1603
213.5 -1.8660 55.9657 0.1602
214.5 -1.8623 56.0530 0.1603
215.5 -1.8573 56.1410 0.1603
216.5 -1.8509 56.2297 0.1604
217.5 -1.8433 56.3192 0.1605
218.5 -1.8345 56.4096 0.1606
219.5 -1.8245 56.5010 0.1608
220.5 -1.8133 56.5932 0.1610
221.5 -1.8012 56.6863 0.1612
222.5 -1.7880 56.7803 0.1614
223.5 -1.7739 56.8749 0.1617
224.5 -1.7590 56.9701 0.1619
225.5 -1.7434 57.0656 0.1622
226.5 -1.7272 57.1613 0.1625
227.5 -1.7104 57.2568 0.1628
228.5 -1.6933 57.3518 0.1631
229.5 -1.6759 57.4458 0.1635
230.5 -1.6583 57.5384 0.1638
231.5 -1.6407 57.6291 0.1641
232.5 -1.6233 57.7173 0.1644
233.5 -1.6062 57.8023 0.1648
234.5 -1.5895 57.8833 0.1651
235.5 -1.5735 57.9597 0.1654
236.5 -1.5582 58.0304 0.1657
237.5 -1.5438 58.0945 0.1660
238.5 -1.5306 58.1510 0.1663
239.5 -1.5188 58.1988 0.1665
240 -1.5134 58.2190 0.1666

 

 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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