WHO infant weight for length percentiles (<24 months)

 
Input
 
Sex Female

 Male
Length  
Weight  

 
Results
 
 
Z-score  
Percentile  
 
Decimal Precision  

 

 Weight for Length Percentile Interpretation

 
Percentile <2: Underweight
Percentile >=2 and <98: Healthy weight
Percentile >=98: Overweight

 
 
Notes
  • This calculator uses measured recumbent length for infants and toddlers from birth through 24 months of age.
  • It is not valid for standing height.
  • 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.
  • LMS data used in this calculator are shown in the data table below.
  • 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.
  • 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)

 

 
Examples
 
Z-scorePercentile equivalent
- 3.0
0.3
- 2.0
2.5
+ 2.0
97.5
+ 3.0
99.7

 
References
  1. LMS Parameters for Girls: Weight-for-length. World Health Organization 2006, Child Growth Standards.
  2. LMS Parameters for Boys: Weight-for-length. World Health Organization 2006, Child Growth Standards.

 

 LMS Parameters for Girls: Weight-for-length

 
Length [cm] Power [L] Median [M] Variation [S]
45.0 -0.3833 2.4607 0.09029
45.5 -0.3833 2.5457 0.09033
46.0 -0.3833 2.6306 0.09037
46.5 -0.3833 2.7155 0.09040
47.0 -0.3833 2.8007 0.09044
47.5 -0.3833 2.8867 0.09048
48.0 -0.3833 2.9741 0.09052
48.5 -0.3833 3.0636 0.09056
49.0 -0.3833 3.1560 0.09060
49.5 -0.3833 3.2520 0.09064
50.0 -0.3833 3.3518 0.09068
50.5 -0.3833 3.4557 0.09072
51.0 -0.3833 3.5636 0.09076
51.5 -0.3833 3.6754 0.09080
52.0 -0.3833 3.7911 0.09085
52.5 -0.3833 3.9105 0.09089
53.0 -0.3833 4.0332 0.09093
53.5 -0.3833 4.1591 0.09098
54.0 -0.3833 4.2875 0.09102
54.5 -0.3833 4.4179 0.09106
55.0 -0.3833 4.5498 0.09110
55.5 -0.3833 4.6827 0.09114
56.0 -0.3833 4.8162 0.09118
56.5 -0.3833 4.9500 0.09121
57.0 -0.3833 5.0837 0.09125
57.5 -0.3833 5.2173 0.09128
58.0 -0.3833 5.3507 0.09130
58.5 -0.3833 5.4834 0.09132
59.0 -0.3833 5.6151 0.09134
59.5 -0.3833 5.7454 0.09135
60.0 -0.3833 5.8742 0.09136
60.5 -0.3833 6.0014 0.09137
61.0 -0.3833 6.1270 0.09137
61.5 -0.3833 6.2511 0.09136
62.0 -0.3833 6.3738 0.09135
62.5 -0.3833 6.4948 0.09133
63.0 -0.3833 6.6144 0.09131
63.5 -0.3833 6.7328 0.09129
64.0 -0.3833 6.8501 0.09126
64.5 -0.3833 6.9662 0.09123
65.0 -0.3833 7.0812 0.09119
65.5 -0.3833 7.1950 0.09115
66.0 -0.3833 7.3076 0.09110
66.5 -0.3833 7.4189 0.09106
67.0 -0.3833 7.5288 0.09101
67.5 -0.3833 7.6375 0.09096
68.0 -0.3833 7.7448 0.09090
68.5 -0.3833 7.8509 0.09085
69.0 -0.3833 7.9559 0.09079
69.5 -0.3833 8.0599 0.09074
70.0 -0.3833 8.1630 0.09068
70.5 -0.3833 8.2651 0.09062
71.0 -0.3833 8.3666 0.09056
71.5 -0.3833 8.4676 0.09050
72.0 -0.3833 8.5679 0.09043
72.5 -0.3833 8.6674 0.09037
73.0 -0.3833 8.7661 0.09031
73.5 -0.3833 8.8638 0.09025
74.0 -0.3833 8.9601 0.09018
74.5 -0.3833 9.0552 0.09012
75.0 -0.3833 9.1490 0.09005
75.5 -0.3833 9.2418 0.08999
76.0 -0.3833 9.3337 0.08992
76.5 -0.3833 9.4252 0.08985
77.0 -0.3833 9.5166 0.08979
77.5 -0.3833 9.6086 0.08972
78.0 -0.3833 9.7015 0.08965
78.5 -0.3833 9.7957 0.08959
79.0 -0.3833 9.8915 0.08952
79.5 -0.3833 9.9892 0.08946
80.0 -0.3833 10.0891 0.08940
80.5 -0.3833 10.1916 0.08934
81.0 -0.3833 10.2965 0.08928
81.5 -0.3833 10.4041 0.08923
82.0 -0.3833 10.5140 0.08918
82.5 -0.3833 10.6263 0.08914
83.0 -0.3833 10.7410 0.08910
83.5 -0.3833 10.8578 0.08906
84.0 -0.3833 10.9767 0.08903
84.5 -0.3833 11.0974 0.08900
85.0 -0.3833 11.2198 0.08898
85.5 -0.3833 11.3435 0.08897
86.0 -0.3833 11.4684 0.08895
86.5 -0.3833 11.5940 0.08895
87.0 -0.3833 11.7201 0.08895
87.5 -0.3833 11.8461 0.08895
88.0 -0.3833 11.9720 0.08896
88.5 -0.3833 12.0976 0.08898
89.0 -0.3833 12.2229 0.08900
89.5 -0.3833 12.3477 0.08903
90.0 -0.3833 12.4723 0.08906
90.5 -0.3833 12.5965 0.08909
91.0 -0.3833 12.7205 0.08913
91.5 -0.3833 12.8443 0.08918
92.0 -0.3833 12.9681 0.08923
92.5 -0.3833 13.0920 0.08928
93.0 -0.3833 13.2158 0.08934
93.5 -0.3833 13.3399 0.08941
94.0 -0.3833 13.4643 0.08948
94.5 -0.3833 13.5892 0.08955
95.0 -0.3833 13.7146 0.08963
95.5 -0.3833 13.8408 0.08972
96.0 -0.3833 13.9676 0.08981
96.5 -0.3833 14.0953 0.08990
97.0 -0.3833 14.2239 0.09000
97.5 -0.3833 14.3537 0.09010
98.0 -0.3833 14.4848 0.09021
98.5 -0.3833 14.6174 0.09033
99.0 -0.3833 14.7519 0.09044
99.5 -0.3833 14.8882 0.09057
100.0 -0.3833 15.0267 0.09069
100.5 -0.3833 15.1676 0.09083
101.0 -0.3833 15.3108 0.09096
101.5 -0.3833 15.4564 0.09110
102.0 -0.3833 15.6046 0.09125
102.5 -0.3833 15.7553 0.09139
103.0 -0.3833 15.9087 0.09155
103.5 -0.3833 16.0645 0.09170
104.0 -0.3833 16.2229 0.09186
104.5 -0.3833 16.3837 0.09203
105.0 -0.3833 16.5470 0.09219
105.5 -0.3833 16.7129 0.09236
106.0 -0.3833 16.8814 0.09254
106.5 -0.3833 17.0527 0.09271
107.0 -0.3833 17.2269 0.09289
107.5 -0.3833 17.4039 0.09307
108.0 -0.3833 17.5839 0.09326
108.5 -0.3833 17.7668 0.09344
109.0 -0.3833 17.9526 0.09363
109.5 -0.3833 18.1412 0.09382
110.0 -0.3833 18.3324 0.09401

 

 LMS Parameters for Boys: Weight-for-length

 
Length [cm] Power [L] Median [M] Variation [S]
45.0 -0.3521 2.4410 0.09182
45.5 -0.3521 2.5244 0.09153
46.0 -0.3521 2.6077 0.09124
46.5 -0.3521 2.6913 0.09094
47.0 -0.3521 2.7755 0.09065
47.5 -0.3521 2.8609 0.09036
48.0 -0.3521 2.9480 0.09007
48.5 -0.3521 3.0377 0.08977
49.0 -0.3521 3.1308 0.08948
49.5 -0.3521 3.2276 0.08919
50.0 -0.3521 3.3278 0.08890
50.5 -0.3521 3.4311 0.08861
51.0 -0.3521 3.5376 0.08831
51.5 -0.3521 3.6477 0.08801
52.0 -0.3521 3.7620 0.08771
52.5 -0.3521 3.8814 0.08741
53.0 -0.3521 4.0060 0.08711
53.5 -0.3521 4.1354 0.08681
54.0 -0.3521 4.2693 0.08651
54.5 -0.3521 4.4066 0.08621
55.0 -0.3521 4.5467 0.08592
55.5 -0.3521 4.6892 0.08563
56.0 -0.3521 4.8338 0.08535
56.5 -0.3521 4.9796 0.08507
57.0 -0.3521 5.1259 0.08481
57.5 -0.3521 5.2721 0.08455
58.0 -0.3521 5.4180 0.08430
58.5 -0.3521 5.5632 0.08406
59.0 -0.3521 5.7074 0.08383
59.5 -0.3521 5.8501 0.08362
60.0 -0.3521 5.9907 0.08342
60.5 -0.3521 6.1284 0.08324
61.0 -0.3521 6.2632 0.08308
61.5 -0.3521 6.3954 0.08292
62.0 -0.3521 6.5251 0.08279
62.5 -0.3521 6.6527 0.08266
63.0 -0.3521 6.7786 0.08255
63.5 -0.3521 6.9028 0.08245
64.0 -0.3521 7.0255 0.08236
64.5 -0.3521 7.1467 0.08229
65.0 -0.3521 7.2666 0.08223
65.5 -0.3521 7.3854 0.08218
66.0 -0.3521 7.5034 0.08215
66.5 -0.3521 7.6206 0.08213
67.0 -0.3521 7.7370 0.08212
67.5 -0.3521 7.8526 0.08212
68.0 -0.3521 7.9674 0.08214
68.5 -0.3521 8.0816 0.08216
69.0 -0.3521 8.1955 0.08219
69.5 -0.3521 8.3092 0.08224
70.0 -0.3521 8.4227 0.08229
70.5 -0.3521 8.5358 0.08235
71.0 -0.3521 8.6480 0.08241
71.5 -0.3521 8.7594 0.08248
72.0 -0.3521 8.8697 0.08254
72.5 -0.3521 8.9788 0.08262
73.0 -0.3521 9.0865 0.08269
73.5 -0.3521 9.1927 0.08276
74.0 -0.3521 9.2974 0.08283
74.5 -0.3521 9.4010 0.08289
75.0 -0.3521 9.5032 0.08295
75.5 -0.3521 9.6041 0.08301
76.0 -0.3521 9.7033 0.08307
76.5 -0.3521 9.8007 0.08311
77.0 -0.3521 9.8963 0.08314
77.5 -0.3521 9.9902 0.08317
78.0 -0.3521 10.0827 0.08318
78.5 -0.3521 10.1741 0.08318
79.0 -0.3521 10.2649 0.08316
79.5 -0.3521 10.3558 0.08313
80.0 -0.3521 10.4475 0.08308
80.5 -0.3521 10.5405 0.08301
81.0 -0.3521 10.6352 0.08293
81.5 -0.3521 10.7322 0.08284
82.0 -0.3521 10.8321 0.08273
82.5 -0.3521 10.9350 0.08260
83.0 -0.3521 11.0415 0.08246
83.5 -0.3521 11.1516 0.08231
84.0 -0.3521 11.2651 0.08215
84.5 -0.3521 11.3817 0.08198
85.0 -0.3521 11.5007 0.08181
85.5 -0.3521 11.6218 0.08163
86.0 -0.3521 11.7444 0.08145
86.5 -0.3521 11.8678 0.08128
87.0 -0.3521 11.9916 0.08111
87.5 -0.3521 12.1152 0.08096
88.0 -0.3521 12.2382 0.08082
88.5 -0.3521 12.3603 0.08069
89.0 -0.3521 12.4815 0.08058
89.5 -0.3521 12.6017 0.08048
90.0 -0.3521 12.7209 0.08041
90.5 -0.3521 12.8392 0.08034
91.0 -0.3521 12.9569 0.08030
91.5 -0.3521 13.0742 0.08026
92.0 -0.3521 13.1910 0.08025
92.5 -0.3521 13.3075 0.08025
93.0 -0.3521 13.4239 0.08026
93.5 -0.3521 13.5404 0.08029
94.0 -0.3521 13.6572 0.08034
94.5 -0.3521 13.7746 0.08040
95.0 -0.3521 13.8928 0.08047
95.5 -0.3521 14.0120 0.08056
96.0 -0.3521 14.1325 0.08067
96.5 -0.3521 14.2544 0.08078
97.0 -0.3521 14.3782 0.08092
97.5 -0.3521 14.5038 0.08106
98.0 -0.3521 14.6316 0.08122
98.5 -0.3521 14.7614 0.08139
99.0 -0.3521 14.8934 0.08157
99.5 -0.3521 15.0275 0.08177
100.0 -0.3521 15.1637 0.08198
100.5 -0.3521 15.3018 0.08220
101.0 -0.3521 15.4419 0.08243
101.5 -0.3521 15.5838 0.08267
102.0 -0.3521 15.7276 0.08292
102.5 -0.3521 15.8732 0.08317
103.0 -0.3521 16.0206 0.08343
103.5 -0.3521 16.1697 0.08370
104.0 -0.3521 16.3204 0.08397
104.5 -0.3521 16.4728 0.08425
105.0 -0.3521 16.6268 0.08453
105.5 -0.3521 16.7826 0.08481
106.0 -0.3521 16.9401 0.08510
106.5 -0.3521 17.0995 0.08539
107.0 -0.3521 17.2607 0.08568
107.5 -0.3521 17.4237 0.08599
108.0 -0.3521 17.5885 0.08629
108.5 -0.3521 17.7553 0.08660
109.0 -0.3521 17.9242 0.08691
109.5 -0.3521 18.0954 0.08723
110.0 -0.3521 18.2689 0.08755

 

 Z-score to percentile table

 
Z 0 1 2 3 4 5 6 7 8 9
-3.0 0.13% 0.13% 0.13% 0.12% 0.12% 0.11% 0.11% 0.11% 0.10% 0.10%
-2.9 0.19% 0.18% 0.18% 0.17% 0.16% 0.16% 0.15% 0.15% 0.14% 0.14%
-2.8 0.26% 0.25% 0.24% 0.23% 0.23% 0.22% 0.21% 0.21% 0.20% 0.19%
-2.7 0.35% 0.34% 0.33% 0.32% 0.31% 0.30% 0.29% 0.28% 0.27% 0.26%
-2.6 0.47% 0.45% 0.44% 0.43% 0.41% 0.40% 0.39% 0.38% 0.37% 0.36%
-2.5 0.62% 0.60% 0.59% 0.57% 0.55% 0.54% 0.52% 0.51% 0.49% 0.48%
-2.4 0.82% 0.80% 0.78% 0.75% 0.73% 0.71% 0.70% 0.68% 0.66% 0.64%
-2.3 1.07% 1.04% 1.02% 0.99% 0.96% 0.94% 0.91% 0.89% 0.87% 0.84%
-2.2 1.39% 1.36% 1.32% 1.29% 1.26% 1.22% 1.19% 1.16% 1.13% 1.10%
-2.1 1.79% 1.74% 1.70% 1.66% 1.62% 1.58% 1.54% 1.50% 1.46% 1.43%
-2.0 2.28% 2.22% 2.17% 2.12% 2.07% 2.02% 1.97% 1.92% 1.88% 1.83%
-1.9 2.87% 2.81% 2.74% 2.68% 2.62% 2.56% 2.50% 2.44% 2.39% 2.33%
-1.8 3.59% 3.52% 3.44% 3.36% 3.29% 3.22% 3.14% 3.07% 3.01% 2.94%
-1.7 4.46% 4.36% 4.27% 4.18% 4.09% 4.01% 3.92% 3.84% 3.75% 3.67%
-1.6 5.48% 5.37% 5.26% 5.16% 5.05% 4.95% 4.85% 4.75% 4.65% 4.55%
-1.5 6.68% 6.55% 6.43% 6.30% 6.18% 6.06% 5.94% 5.82% 5.71% 5.59%
-1.4 8.08% 7.93% 7.78% 7.64% 7.49% 7.35% 7.22% 7.08% 6.94% 6.81%
-1.3 9.68% 9.51% 9.34% 9.18% 9.01% 8.85% 8.69% 8.53% 8.38% 8.23%
-1.2 11.51% 11.31% 11.12% 10.94% 10.75% 10.57% 10.38% 10.20% 10.03% 9.85%
-1.1 13.57% 13.35% 13.14% 12.92% 12.71% 12.51% 12.30% 12.10% 11.90% 11.70%
-1.0 15.87% 15.63% 15.39% 15.15% 14.92% 14.69% 14.46% 14.23% 14.01% 13.79%
-0.9 18.41% 18.14% 17.88% 17.62% 17.36% 17.11% 16.85% 16.60% 16.35% 16.11%
-0.8 21.19% 20.90% 20.61% 20.33% 20.05% 19.77% 19.49% 19.22% 18.94% 18.67%
-0.7 24.20% 23.89% 23.58% 23.27% 22.97% 22.66% 22.36% 22.07% 21.77% 21.48%
-0.6 27.43% 27.09% 26.76% 26.44% 26.11% 25.79% 25.46% 25.14% 24.83% 24.51%
-0.5 30.85% 30.50% 30.15% 29.81% 29.46% 29.12% 28.77% 28.43% 28.10% 27.76%
-0.4 34.46% 34.09% 33.72% 33.36% 33.00% 32.64% 32.28% 31.92% 31.56% 31.21%
-0.3 38.21% 37.83% 37.45% 37.07% 36.69% 36.32% 35.94% 35.57% 35.20% 34.83%
-0.2 42.07% 41.68% 41.29% 40.91% 40.52% 40.13% 39.74% 39.36% 38.97% 38.59%
-0.1 46.02% 45.62% 45.22% 44.83% 44.43% 44.04% 43.64% 43.25% 42.86% 42.47%
0.0 50.00% 50.40% 50.80% 51.20% 51.60% 51.99% 52.39% 52.79% 53.19% 53.59%
0.1 53.98% 54.38% 54.78% 55.17% 55.57% 55.96% 56.36% 56.75% 57.14% 57.54%
0.2 57.93% 58.32% 58.71% 59.10% 59.48% 59.87% 60.26% 60.64% 61.03% 61.41%
0.3 61.79% 62.17% 62.55% 62.93% 63.31% 63.68% 64.06% 64.43% 64.80% 65.17%
0.4 65.54% 65.91% 66.28% 66.64% 67.00% 67.36% 67.72% 68.08% 68.44% 68.79%
0.5 69.15% 69.50% 69.85% 70.19% 70.54% 70.88% 71.23% 71.57% 71.90% 72.24%
0.6 72.58% 72.91% 73.24% 73.57% 73.89% 74.22% 74.54% 74.86% 75.18% 75.49%
0.7 75.80% 76.12% 76.42% 76.73% 77.04% 77.34% 77.64% 77.94% 78.23% 78.52%
0.8 78.81% 79.10% 79.39% 79.67% 79.96% 80.23% 80.51% 80.79% 81.06% 81.33%
0.9 81.59% 81.86% 82.12% 82.38% 82.64% 82.89% 83.15% 83.40% 83.65% 83.89%
1.0 84.13% 84.38% 84.61% 84.85% 85.08% 85.31% 85.54% 85.77% 85.99% 86.21%
1.1 86.43% 86.65% 86.86% 87.08% 87.29% 87.49% 87.70% 87.90% 88.10% 88.30%
1.2 88.49% 88.69% 88.88% 89.07% 89.25% 89.44% 89.62% 89.80% 89.97% 90.15%
1.3 90.32% 90.49% 90.66% 90.82% 90.99% 91.15% 91.31% 91.47% 91.62% 91.77%
1.4 91.92% 92.07% 92.22% 92.36% 92.51% 92.65% 92.79% 92.92% 93.06% 93.19%
1.5 93.32% 93.45% 93.57% 93.70% 93.82% 93.94% 94.06% 94.18% 94.30% 94.41%
1.6 94.52% 94.63% 94.74% 94.85% 94.95% 95.05% 95.15% 95.25% 95.35% 95.45%
1.7 95.54% 95.64% 95.73% 95.82% 95.91% 95.99% 96.08% 96.16% 96.25% 96.33%
1.8 96.41% 96.49% 96.56% 96.64% 96.71% 96.78% 96.86% 96.93% 97.00% 97.06%
1.9 97.13% 97.19% 97.26% 97.32% 97.38% 97.44% 97.50% 97.56% 97.62% 97.67%
2.0 97.73% 97.78% 97.83% 97.88% 97.93% 97.98% 98.03% 98.08% 98.12% 98.17%
2.1 98.21% 98.26% 98.30% 98.34% 98.38% 98.42% 98.46% 98.50% 98.54% 98.57%
2.2 98.61% 98.65% 98.68% 98.71% 98.75% 98.78% 98.81% 98.84% 98.87% 98.90%
2.3 98.93% 98.96% 98.98% 99.01% 99.04% 99.06% 99.09% 99.11% 99.13% 99.16%
2.4 99.18% 99.20% 99.22% 99.25% 99.27% 99.29% 99.31% 99.32% 99.34% 99.36%
2.5 99.38% 99.40% 99.41% 99.43% 99.45% 99.46% 99.48% 99.49% 99.51% 99.52%
2.6 99.53% 99.55% 99.56% 99.57% 99.59% 99.60% 99.61% 99.62% 99.63% 99.64%
2.7 99.65% 99.66% 99.67% 99.68% 99.69% 99.70% 99.71% 99.72% 99.73% 99.74%
2.8 99.74% 99.75% 99.76% 99.77% 99.77% 99.78% 99.79% 99.80% 99.80% 99.81%
2.9 99.81% 99.82% 99.83% 99.83% 99.84% 99.84% 99.85% 99.85% 99.86% 99.86%
3.0 99.87% 99.87% 99.87% 99.88% 99.88% 99.89% 99.89% 99.89% 99.90% 99.90%

 

 
 
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