1 year old percentile

Growth Charts - Individual Growth Charts

Set 1: Individual charts with all percentiles
Set 2: Individual charts with 5th and 95th percentiles
Set 3: Individual charts with 3rd and 97th percentiles
Summary files

The individual growth charts, with one chart per page, have the grids aligned to English units (lb, in), with metric units (kg, cm) on the secondary scale. Individual charts are available for boys and for girls. The individual charts include the following:

Infants, birth to 36 months

Weight-for-age
Length-for-age
Weight-for-length
Head circumference-for-age

Children and adolescents, 2 to 20 years

Weight-for-age
Stature-for-age
Body mass index-for-age

Preschoolers, 2 to 5 years

Weight-for-stature

The individual growth charts were published in three sets.

Set 1 contains 16 charts (8 for boys and 8 for girls), with the 3rd, 5th, 10th, 25th, 50th, 75th, 90th ,95th, and 97th smoothed percentile lines for all charts, and the 85th percentile for BMI-for-age and weight-for-stature.
Set 2 contains 16 charts (8 for boys and 8 for girls), with the 5th, 10th, 25th, 50th, 75th, 90th, and 95th smoothed percentile lines for all charts, and the 85th percentile for BMI-for-age and weight-for-stature.
Set 3 contains 16 charts (8 for boys and 8 for girls), with the 3rd, 10th, 25th, 50th, 75th, 90th, and 97th smoothed percentile lines for all charts, and the 85th percentile for BMI-for-age and weight-for-stature.

These three distinct sets of charts are provided to meet the needs of various users. Set 1 shows all of the major percentile curves, but may have limitations where the curves are close together, especially at the youngest ages. Most users in the United States may wish to use the format shown in set 2 for the majority of routine applications. Pediatric endocrinologists and others dealing with special populations may wish to use the format in set 3 for selected applications.

Within each set, individual charts can be accessed by pointing to the associated URL. In addition, all charts in each set are combined into 3 summary files. These summary files contain the individual charts from either set 1, set 2, or set 3, as described above.

All individual 2000 CDC growth charts have an initial publication date of May 30, 2000. For various reasons, selected charts were modified after the initial publication date. Modifications were made to selected individual charts to correct or enhance particular aspects of the graphs. Where applicable, when individual charts were further modified, the date is indicated on each chart. In all cases where individual charts were modified, the data points in the corresponding data file remain unchanged from the initial release on May 30, 2000. The individual growth charts for weight-for-length and weight-for-stature were modified because the smoothed percentile lines were incorrectly graphed on the grids that were initially published.

All individual growth charts may be viewed, downloaded, and printed in Adobe Acrobat. For routine viewing and printing, the individual charts are available as PDF (600 dpi screen optimized) files.

Suggested citation

Centers for Disease Control and Prevention, National Center for Health Statistics. CDC growth charts: United States.

http://www.cdc.gov/growthcharts/. May 30, 2000.

Set 1: Individual charts with all percentiles (3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th)

Weight-for-age percentiles: Boys, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 45 KB]
Weight-for-age percentiles: Girls, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 45 KB]
Length-for-age percentiles: Boys, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 45 KB]
Length-for-age percentiles: Girls, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 44 KB]
Weight-for-length percentiles: Boys, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 48 KB]
Revised and corrected 6/8/00.
Weight-for-length percentiles: Girls, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 48 KB]
Revised and corrected 6/8/00.
Head circumference-for-age percentiles: Boys, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 48 KB]
Head circumference-for-age percentiles: Girls, birth to 36 months 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 48 KB]
Weight-for-age percentiles: Boys, 2 to 20 years 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 54 KB]
Weight-for-age percentiles: Girls, 2 to 20 years 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 53 KB]
Stature-for-age percentiles: Boys, 2 to 20 years 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 55 KB]
Stature-for-age percentiles: Girls, 2 to 20 years 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 54 KB]
Weight-for-stature percentiles: Boys 3rd, 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 44 KB]
Revised and corrected 11/21/00.
Weight-for-stature percentiles: Girls 3rd, 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 44 KB]
Revised and corrected 11/21/00.
Body mass index-for-age percentiles: Boys, 2 to 20 years 3rd, 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 58 KB]
Body mass index-for-age percentiles: Girls, 2 to 20 years 3rd, 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th, 97th percentiles Cdc-pdf[PDF – 58 KB] [PDF – 58 KB]

Set 2: Individual charts with 5th and 95th percentiles (5th, 10th, 25th, 50th, 75th, 90th, 95th)

Weight-for-age percentiles: Boys, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 45K]
Weight-for-age percentiles: Girls, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 45K]
Length-for-age percentiles: Boys, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 45K]
Length-for-age percentiles: Girls, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 45K]
Weight-for-length percentiles: Boys, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 48K]
Revised and corrected 6/8/00.
Weight-for-length percentiles: Girls, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 48K]
Revised and corrected 6/8/00.
Head circumference-for-age percentiles: Boys, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 48K]
Head circumference-for-age percentiles: Girls, birth to 36 months 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 48K]
Weight-for-age percentiles: Boys, 2 to 20 years 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 52K]
Weight-for-age percentiles: Girls, 2 to 20 years 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 52K]
Stature-for-age percentiles: Boys, 2 to 20 years 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 53K]
Stature-for-age percentiles: Girls, 2 to 20 years 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Cdc-pdf[PDF – 52K]
Weight-for-stature percentiles: Boys 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th percentiles Cdc-pdf[PDF – 44K]
Revised and corrected 11/21/00.
Weight-for-stature percentiles: Girls 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th percentiles Cdc-pdf[PDF – 44K]
Revised and corrected 11/21/00.
Body mass index-for-age percentiles: Boys, 2 to 20 years 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th percentiles Cdc-pdf[PDF – 56K]
Body mass index-for-age percentiles: Girls, 2 to 20 years 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th percentiles Cdc-pdf[PDF – 56K]

Set 3: Individual charts with 3rd and 97th percentiles (3rd, 10th, 25th, 50th, 75th, 90th, 97th)

Weight-for-age percentiles: Boys, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 45K]
Weight-for-age percentiles: Girls, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 45K]
Length-for-age percentiles: Boys, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 45K]
Length-for-age percentiles: Girls, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 45K]
Weight-for-length percentiles: Boys, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 48K]
Revised and corrected 6/8/00.
Weight-for-length percentiles: Girls, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 48K]
Revised and corrected 6/8/00.
Head circumference-for-age percentiles: Boys, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 48K]
Head circumference-for-age percentiles: Girls, birth to 36 months 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 48K]
Weight-for-age percentiles: Boys, 2 to 20 years 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 52K]
Weight-for-age percentiles: Girls, 2 to 20 years 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 52K]
Stature-for-age percentiles: Boys, 2 to 20 years 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 53K]
Stature-for-age percentiles: Girls, 2 to 20 years 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Cdc-pdf[PDF – 52K]
Weight-for-stature percentiles: Boys 3rd, 10th, 25th, 50th, 75th, 85th, 90th, 97th percentiles Cdc-pdf[PDF – 44K]
Revised and corrected 11/21/00.
Weight-for-stature percentiles: Girls 3rd, 10th, 25th, 50th, 75th, 85th, 90th, 97th percentiles Cdc-pdf[PDF – 44K]
Revised and corrected 11/21/00.
Body mass index-for-age percentiles: Boys, 2 to 20 years 3rd, 10th, 25th, 50th, 75th, 85th, 90th, 97th percentiles Cdc-pdf[PDF – 56K]
Body mass index-for-age percentiles: Girls, 2 to 20 years 3rd, 10th, 25th, 50th, 75th, 85th, 90th, 97th percentiles Cdc-pdf[PDF – 56K]

Summary Files

Set 1 summary file; 3rd, 5th, 10th, 25th, 50th, 75th, 90th, 95th, 97th percentiles Download all 16 charts in Set 1 Cdc-pdf[PDF – 556 KB]
Revised and corrected 6/8/00 and 11/21/00.
Set 2 summary file; 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles Download all 16 charts in Set 2 Cdc-pdf[PDF – 538 KB]
Revised and corrected 6/8/00 and 11/21/00.
Set 3 summary file; 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles Download all 16 charts in Set 3 Cdc-pdf[PDF – 539 KB]
Revised and corrected 6/8/00 and 11/21/00.

Growth Charts - Clinical Growth Charts

The clinical growth charts reflect modifications in the format of the individual charts, whereby two individual charts appear on a single page, and data entry tables have been added. The clinical charts have the grids scaled to metric units (kg, cm), with English units (lb, in) as the secondary scale. Clinical charts are available for boys and for girls. The available clinical charts include the following:

Infants, birth to 36 months:

Length-for-age and Weight-for-age
Head circumference-for-age and Weight-for-length

Children and adolescents, 2 to 20 years

Stature-for-age and Weight-for-age
BMI-for-age

Preschoolers, 2 to 5 years

Weight-for-stature

The clinical charts for infants and older children were published in two sets.

Set 1 contains 10 charts (5 for boys and 5 for girls), with the 5th, 10th, 25th, 50th, 75th, 90th, and 95th smoothed percentile lines for all charts, and the 85th percentile for BMI-for-age and weight-for-stature.
Set 2 contains 10 charts (5 for boys and 5 for girls), with the 3rd, 10th, 25th, 50th, 75th, 90th, and 97th smoothed percentile lines for all charts, and the 85th percentile for BMI-for-age and weight-for-stature.

Set 1 has the outer limits of the curves at the 5th and 95th percentiles. These are the charts that most users in the United States will find useful for the majority of routine clinical assessments. Set 2 has the outer limits of the curves at the 3rd and 97th percentiles for selected applications. Pediatric endocrinologists and others who assess the growth of children with special health care requirements may wish to use the format in set 2 for selected applications.

Two summary files, each with all 10 clinical charts in set 1 or set 2 are also available. These summary files contain the clinical charts from either set 1 or set 2 as described above.

Infants (birth to 24 months) must be measured for length, and the sex appropriate length-for-age or weight-for-length charts for infants, birth to 36 months must be used to plot the measurements. At age 24 months and older, if children can stand unassisted and follow directions, stature should be measured and plotted on the stature-for-age chart for children (2 to 20 years). Otherwise, between 24 and 36 months, length can be used in place of stature.

BMI-for-age charts are recommended to assess weight in relation to stature for children ages 2 to 20 years. The weight-for-stature charts are available as an alternative to accommodate children ages 2-5 years who are not evaluated beyond the preschool years. However, all health care providers should consider using the BMI-for-age charts to be consistent with current recommendations.

All individual 2000 CDC growth charts have an initial publication date of May 30, 2000. For various reasons, modifications were made to charts after the initial publication date. For example, the individual charts were modified to create the clinical charts, which were made available on October 16, 2000. Subsequent modifications were made to selected clinical charts to correct or enhance particular aspects of the scales on the graphs. In all cases, the data points in the corresponding data file for each modified chart remain unchanged from the initial release on May 30, 2000. Where applicable, when selected clinical charts were further modified, the date is indicated on each chart. The clinical growth charts for stature-for-age were modified because the scale for inches was not correctly aligned with the metric scale. The clinical growth charts for infant length-for-age and infant weight-for-age were revised to improve the appearance of the scale for inches on the length charts by extending the indicators at ½ inch increments, and enhancing alignment of the English with the metric scales on both the length and weight scales.

Users should use the most recent version of each chart, as available on the growth charts web site.

To view, print, and reproduce clinical growth charts

All clinical growth charts may be viewed, downloaded, and printed in Adobe Acrobat. For routine viewing on a computer monitor and printing on a laser printer, the individual charts are available as PDF files (Black and White). All clinical charts have been colorized for viewing and printing. When routed to a color printer, the clinical charts for boys will print in blue and the clinical charts for girls will print in red. Otherwise, these same charts can be routed to a black-and-white printer, and will print in black-and-white. Higher resolution PDF files (Color) are available to provide the highest resolution and are intended to be used as a high quality print master for quantity production when using the services of a commercial printing facility. The recommended ink colors for printing are Pantone 206 red (for girls) and Pantone 286 blue (for boys). The recommended paper weight is 80#. Charts should be printed as two-sided copies, in the following combinations for each sex:

Infants, birth to 36 months:

Side 1: Length for age + Weight-for-age
Side 2: Head circumference-for-age + Weight-for-length

Children and adolescents, 2 to 20 years:

Side 1: Stature-for-age + Weight-for-length
Side 2: BMI-for-age or
Weight-for-stature (age 2 to 5 years only)

Set 1: Clinical charts with 5th and 95th percentiles

Birth to 36 months (5th-95th percentile)

Boys Length-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 41 KB] Modified 4/20/01
Color Cdc-pdf[PDF – 44 KB] Modified 4/20/01
Spanish Version, Color Cdc-pdf[PDF – 44 KB] Modified 4/20/01
French Version, Color Cdc-pdf[PDF – 44 KB] Modified 4/20/01
B&W Press-Ready Cdc-pdf[PDF – 186 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 200 KB] Modified 9/15/05
Data table of Length-for-age charts
Data table of Weight-for-age charts

Boys Head circumference-for-age and Weight-for-length

B&W Cdc-pdf[PDF – 48 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 48 KB] Modified 10/16/00
Spanish Version Color Cdc-pdf[PDF – 52 KB] Modified 10/16/00
French Version Color Cdc-pdf[PDF – 56 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 206 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 236 KB] Modified 9/15/05
Data table of Head circumference-for-age charts
Data table of Weight-for-length charts

Girls Length-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 40 KB] Modified 4/20/01
Color Cdc-pdf[PDF – 40 KB] Modified 4/20/01
Spanish Version, Color Cdc-pdf[PDF – 50 KB] Modified 4/20/01
French Version, Color Cdc-pdf[PDF – 44 KB] Modified 4/20/01
B&W Press-Ready Cdc-pdf[PDF – 186 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 401 KB] Modified 9/15/05
Data table of Length-for-age charts
Data table of Weight-for-age charts

Girls Head circumference-for-age and Weight-for-length

B&W Cdc-pdf[PDF – 48 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 55 KB] Modified 10/16/00
Spanish Version, Color Cdc-pdf[PDF – 60 KB] Modified 10/16/00
French Version, Color Cdc-pdf[PDF – 55 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 206 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 440 KB] Modified 9/15/05
Data table of Head circumference-for-age charts
Data table of Weight-for-length charts

Children 2 to 20 years (5th-95th percentile)

Boys Stature-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 77 KB] Modified 11/21/00
Color Cdc-pdf[PDF – 77 KB] Modified 11/21/00
Spanish Version, Color Cdc-pdf[PDF – 63 KB] Modified 11/21/00
French Version, Color Cdc-pdf[PDF – 78 KB] Modified 11/21/00
B&W Press-Ready Cdc-pdf[PDF – 208 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 260 KB] Modified 9/15/05
Data table of Stature-for-age charts
Data table of Weight-for-age charts

Boys BMI-for-age

B&W Cdc-pdf[PDF – 61 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 61 KB] Modified 10/16/00
Spanish Version, Color Cdc-pdf[PDF – 50 KB] Modified 10/16/00
French Version, Color Cdc-pdf[PDF – 64 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 141 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 183 KB] Modified 9/15/05
Data table of BMI-for-age charts

Girls Stature-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 77 KB] Modified 11/21/00
Color Cdc-pdf[PDF – 77 KB] Modified 11/21/00
Spanish Version, Color Cdc-pdf[PDF – 62 KB] Modified 11/21/00
French Version, Color Cdc-pdf[PDF – 79 KB] Modified 11/21/00
B&W Press-Ready Cdc-pdf[PDF – 208 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 499 KB] Modified 9/15/05
Data table of Stature-for-age charts
Data table of Weight-for-age charts

Girls BMI-for-age

B&W Cdc-pdf[PDF – 67 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 61 KB] Modified 10/16/00
Spanish Version, Color Cdc-pdf[PDF – 51 KB] Modified 10/16/00
French Version, Color Cdc-pdf[PDF – 64 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 142 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 339 KB] Modified 9/15/05
Data table of BMI-for-age charts

Optional Chart (5th-95th percentile)

Boys Weight-for-stature

B&W Cdc-pdf[PDF – 40 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 41 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 148 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 180 KB] Modified 9/15/05
Data table of Weight-for-stature charts

Girls Weight-for-stature

B&W Cdc-pdf[PDF – 40 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 41 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 147 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 334 KB] Modified 9/15/05
Data table of Weight-for-stature charts

Set 2: Clinical charts with 3rd and 97th percentiles

Birth to 36 months (3rd -97th percentile)

Boys Length-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 41 KB] Modified 4/20/01
Color Cdc-pdf[PDF – 47 KB] Modified 4/20/01
Spanish Version, Color Cdc-pdf[PDF – 47 KB] Modified 4/20/01
French Version, Color Cdc-pdf[PDF – 44 KB] Modified 4/20/01
B&W Press-Ready Cdc-pdf[PDF – 186 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 201 KB] Modified 9/15/05
Data table of Length-for-age charts
Data table of Weight-for-age charts

Boys Head circumference-for-age and Weight-for-length

B&W Cdc-pdf[PDF – 48 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 52 KB] Modified 10/16/00
Spanish Version, Color Cdc-pdf[PDF – 53 KB] Modified 10/16/00
French Version, Color Cdc-pdf[PDF – 51 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 207 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 223 KB] Modified 9/15/05
Data table of Head circumference-for-age charts
Data table of Weight-for-length charts

Girls Length-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 41 KB] Modified 4/20/01
Color Cdc-pdf[PDF – 48 KB] Modified 4/20/01
Spanish Version, Color Cdc-pdf[PDF – 48 KB] Modified 4/20/01
French Version, Color Cdc-pdf[PDF – 45 KB] Modified 4/20/01
B&W Press-Ready Cdc-pdf[PDF – 186 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 390 KB] Modified 9/15/05
Data table of Length-for-age charts
Data table of Weight-for-age charts

Girls Head circumference-for-age and Weight-for-length

B&W Cdc-pdf[PDF – 48 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 53 KB] Modified 10/16/00
Spanish Version, Color Cdc-pdf[PDF – 54 KB] Modified 10/16/00
French Version, Color Cdc-pdf[PDF – 52 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 206 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 434 KB] Modified 9/15/05
Data table of Head circumference-for-age charts
Data table of Weight-for-length charts

Children 2 to 20 years (3rd-97th percentile)

Boys Stature-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 79 KB] Modified 11/21/00
Color Cdc-pdf[PDF – 83 KB] Modified 11/21/00
Spanish Version, Color Cdc-pdf[PDF – 61 KB] Modified 11/21/00
French Version, Color Cdc-pdf[PDF – 79 KB] Modified 11/21/00
B&W Press-Ready Cdc-pdf[PDF – 208 KB] Modified 9/15/05
Color Press-ready Cdc-pdf[PDF – 250 KB] Modified 9/15/05
Data table of Stature-for-age charts
Data table of Weight-for-age charts

Boys BMI-for-age

B&W Cdc-pdf[PDF – 64 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 68 KB] Modified 10/16/00
Spanish Version, Color Cdc-pdf[PDF – 52 KB] Modified 10/16/00
French Version, Color Cdc-pdf[PDF – 66 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 153 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 173 KB] Modified 9/15/05
Data table of BMI-for-age charts

Girls Stature-for-age and Weight-for-age

B&W Cdc-pdf[PDF – 79 KB] Modified 11/21/00
Color Cdc-pdf[PDF – 84 KB] Modified 11/21/00
Spanish Version, Color Cdc-pdf[PDF – 62 KB] Modified 11/21/00
French Version, Color Cdc-pdf[PDF – 81 KB] Modified 11/21/00
B&W Press-Ready Cdc-pdf[PDF – 218 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 488 KB] Modified 9/15/05
Data table of Stature-for-age charts
Data table of Weight-for-age charts

Girls BMI-for-age

B&W Cdc-pdf[PDF – 54 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 58 KB] Modified 10/16/00
Spanish Version, Color Cdc-pdf[PDF – 52 KB] Modified 10/16/00
French Version, Color Cdc-pdf[PDF – 67 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 152 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 334 KB] Modified 9/15/05
Data table of BMI-for-age charts

Optional Chart (3rd-97th percentile)

Boys Weight-for-stature

B&W Cdc-pdf[PDF – 31 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 34 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 158 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 168 KB] Modified 9/15/05
Data table of Weight-for-stature charts

Girls Weight-for-stature

B&W Cdc-pdf[PDF – 40 KB] Modified 10/16/00
Color Cdc-pdf[PDF – 46 KB] Modified 10/16/00
B&W Press-Ready Cdc-pdf[PDF – 157 KB] Modified 9/15/05
Color Press-Ready Cdc-pdf[PDF – 323 KB] Modified 9/15/05
Data table of Weight-for-stature charts

Summary files

Set 1 summary file; 5th, 10th, 25th, 50th, 75th, 90th, 95th percentiles

Download all 10 charts in Set 1
B&W Cdc-pdf[PDF – 409K]
Color Cdc-pdf[PDF – 418 KB]

Set 2 summary file; 3rd, 10th, 25th, 50th, 75th, 90th, 97th percentiles

Download all 10 charts in Set 2
B&W Cdc-pdf[PDF – 408K]
Color Cdc-pdf[PDF – 423 KB]

Percentile Calculator • Math • Online Unit Converters

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Random converter	Calculators Math Percentile calculator This calculator determines P th percentile for the original dataset. Example: calculate the 95th percentile for the following dataset: 3.77; 3.96; 4.26; 3.99; 3.79; 3.90; 4.30; 4.28; 4.16; 4.13; 4.03; 4.55; 4.56; 4.64; 4.85; 4.69; 4.47; 4.99; 5.14; 4.68; 4.91; 5.03; 4.71; 4.57; 4.94; 4.96; 4.97; 5.25; 4.72; 5.06; 4.78; 4.36; 5.00; 4.87; 4.53; 4.06; 4.00; 4.39. Data set Enter numbers separated by “ ; ". Maximum number of characters: 1000 percentile P % 0 ≤ P ≤ 100 share Share a link to this calculator, including input parameters TWITTER FACEBOOK 9000 Definition 1 Definition 2 Definition 3 Enter the data set and percentile and click the Calculate button. Description and examples Percentile (also called percentile, percentile and centile in different sources and versions of programs) is a statistical measure that indicates the value that a given random variable does not exceed with a specified probability. For example, the phrase "95th percentile is 7" means that 95% of all measured values do not reach the value of 7 and only 5% of all measured values exceed this value. When a service provider for placing client equipment in a data center, connecting it to power supply and communication channels (colocation) issues a monthly invoice for payment of services based on 95th percentile (English bustable billing), which means that the provider cuts off 5% of peak traffic values per month. This calculation method allows users to have short periods of very high traffic, perhaps dozens of times higher than "regular" traffic, at no extra charge. If billed monthly, then users can have very high traffic (within the allocated bandwidth) for 24 × 30 × 0.05 = 36 hours at no additional charge. An example of such traffic is shown in the figure below. Percentiles are also often used by pediatricians to estimate children's height compared to World Health Organization (WHO) statistics for weight, height and head circumference. The percentile value allows you to compare the head circumference, weight and height of the child with the data of other children. For example, the 60th percentile of height means that the girl is taller than 60% of other girls and shorter than 40% of other girls. Definitions It is interesting to note that although we often use percentiles, there is no universal definition for this term. Here we will give three percentile definitions, one simple and two not so simple, since they use linear interpolation. Other definitions of percentile can be found in the literature. Calculations by all definitions give similar results if the number of values in the observational data is large. If the number of values is small, then the results can be quite different. Definition 1 According to the first definition, the P th percentile of a list of N numbers ordered by magnitude (from smallest to largest) is the smallest number in the list that is greater than N percent of all numbers of the series under study. For example, in the children's height example above, the 60th percentile means a height that is greater than the height of 60% of other children. This definition uses the nearest rank method. Note that any value calculated by this method will always be present in the original data set. To calculate the percentile, you need to arrange the values in the data set in order from smallest to largest and assign 9 to each value in the data set0024 serial number (rank) . Then the sequence number n is calculated for the given percentile using the formula: The notation ⌈x⌉ means that the result is rounded up to the nearest whole number. This rounding is also called the ceiling. For example, results of 2.2 and 2.7 will be rounded up to 3. After that, the percentile value v is taken from the values sorted in order by ordinal number n . The 100th percentile is defined as the largest value in the original data set. Definition 2 This and the following definitions use linear interpolation between adjacent values in the data set to improve accuracy. This is done instead of rounding to an integer value according to the first definition. There are several variants of this method. Here we will consider only two of them, which are used in MS Excel, starting from version 2010, and in some other programs. The fractional ordinal x is calculated using the following formula: In versions of Excel older than 2010, this formula is used in the PERCENTILE.INC() function (English version), which is called PERCENTILE.INC() in the Russian version. This is a function that returns results for the entire range of values 0 ≤ P ≤ 1. If P = 1, PERCENTILE.INC() returns the highest value of the dataset, and if P = 0, then PERCENTILE.INC() returns the low value of the dataset. To obtain the serial number n , the result of the calculation according to the above formula is rounded down to the nearest whole number down, that is, to a number that does not exceed the rounded value. For example, the results 2.2 and 2.7 will be rounded up to the ordinal of the value from the input dataset n = 2. The fractional part { x } of the result of calculating the fractional ordinal x is then used to further calculate the percentile value v by two adjacent values from the original data set: values with the calculated sequence number v _n and the next higher value v _n+1 : where by definition is the fractional part Below is an example of the calculation for definition 2. definition 3 According to this definition, to calculate the fractional serial number x , a different formula is used than that used for definition 2: In versions of Excel older than 2010, this formula is used in the PERCENTILE.EXC() (English version) and PERCENTILE.EXC() (Russian version) functions. This function throws an error if P is outside the valid range for the given source data set. This means that PERCENTILE.EXC() only interpolates if the value of the specified percentile is between two values in the original dataset. If the function cannot interpolate, it returns an error. For example, if the dataset contains 10 values, you cannot get a result for a percentile value less than 10% and greater than 90%. At the same time, the PERCENTILE.INC() function, by its second definition, will produce a valid result in this situation. As in definition 2, the result is rounded down to the nearest whole number, that is, to a number that does not exceed the rounded value. For example, the results 2.2 and 2.7 will be rounded up to the ordinal value from the input dataset n = 2. As in definition 2, the fractional part { x } of the result of calculating the fractional ordinal x is then also used to further calculate the percentile value v for two adjacent values from the original data set: the value with the calculated sequence number v _n and the next higher value v _n+1 : where by definition of the fractional part Examples of calculating percentiles the methods described above. The values in the dataset are ordered from smallest to largest, and each is assigned a rank from 1 to 12. We will run a calculation on the three definitions and compare the results of our calculations. 9
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Calculation according to method 1

Determine the ordinal wound N by determination of 1 for 40 percentage :

Since the ordinal rank n is not an integer, we round it up to n = 5. From Table 1, the 40th percentile value for n = 5 is 11.

Calculation according to method 2

This method is an alternative to the nearest rank method. It uses linear interpolation between adjacent values in the dataset. Fractional rank x is calculated using the following formula:

Rank n = 5 percentile v for two adjacent values from the original data set: values with the calculated sequence number v _n and the next higher value v _n+1 :

Calculation by this method08

is another alternative to the nearest rank method. It uses linear interpolation between adjacent values in the dataset. Determine the fractional serial number x :

Ordinal rank n = 5. The fractional part { x } = 0.2 of the result of calculating the fractional ordinal x is then used to further calculate the percentile value v for two adjacent values from the original dataset: values with the calculated ordinal v _n followed by a higher value v _n+1 :

View these examples in a calculator.

Payment method by 9The 5th percentile is the industry standard method for measuring bandwidth (bandwidth) of a link used by ISPs and data centers.

Using percentiles

95th percentile billing method

95th percentile billing method is an industry standard method for measuring bandwidth (capacity) of a channel used by ISPs and data centers. The method allows users to dramatically increase traffic for 5% of the time without increasing the cost of paying for data center services. The method is based on peak load accounting and is commonly used for billing traffic for equipment installed in data centers.

This graph shows the ISP channel load statistics measured over 32 hours.
1. Average outgoing traffic 2.9 megabits per second (Mbps).
2. 95th percentile outbound 4.1 Mbps.
3. Maximum outgoing traffic 5.7 Mbps.
4. Filtered traffic peaks are not taken into account in the billing calculation.
Because the 95th percentile is 4.1 Mbps, in this example the ISP is billing 5 Mbps because it has a 1 Mbps increment. This should be taken into account when determining the cost of services. If 9The 5th percentile was 3.9 Mbps, this ISP would have billed 4 Mbps.

Most ISPs use a five-minute sampling interval to record traffic and then calculate usage at the 95th percentile. Sometimes providers offer a 90th percentile calculation in order to attract more customers. The average channel width during the sampling interval represents the value of the data set, which is calculated as the number of megabits transmitted through the communication port divided by the length of the five-minute sampling interval (300 seconds). During the monthly period for which the customer is billed, there will be about 9 such values in the calculation datasetthousand. This data set is then sorted as described above and the top 5% of the data with the most traffic is discarded. The value of the 95th percentile is indicated on the invoice, but only if it exceeds the guaranteed bandwidth of the channel specified in the contract and paid by the client in any case, even if the real traffic is less than this bandwidth, since the guaranteed bandwidth is usually included in the cost of operating a rented or own server in the data center.

Based on this model, high traffic for 24 hours × 30 days × 0.05 = 36 hours is not included in the monthly bill. To determine the 95th percentile, it is common to consider both outgoing and incoming traffic.

Data center customers who pay for its services at the 95th percentile can pay per megabit of regularly used bandwidth and at the same time, if necessary, can dramatically increase traffic for short periods of time without financial consequences.

In this monthly traffic example, the data center customer pays for the 95th percentile, which is only about 4.5 Mbps. At the same time, the peak traffic is 95 Mbps and it is not taken into account when calculating the payment, since these periods are short.

Child body mass index, weight and height

Body mass index (BMI) is defined as the ratio of body mass in kilograms to the square of height in meters and is usually expressed in kg/m² even in the few countries where traditional units of measurement are still used . The body mass index characterizes people into groups of underweight (up to 18.5 kg/m²), normal weight (8.5–25 kg/m²), overweight (25–30 kg/m²), and obesity (over 30 kg/m²).

Children with a weight between the 5th and 85th percentile are classified as normal weight

In children and adolescents, body mass index is defined differently. The calculation uses the same formula as for adults, but the categorization is different: instead of being compared to several fixed thresholds (underweight, normal weight, overweight, and obese), BMI is compared to the percentile value for children of the same sex, age and living in the same country. For example, the phrase “a girl has a body mass index of the 40th percentile” means that 40% of girls of the same age have a lower body mass index. Children with a BMI below the 5th percentile are considered to be underweight for their age, while those with a BMI between the 5th and 85th percentile are considered to be of normal body weight. Those with a BMI between 85 and 9The 4th percentile is considered overweight and over the 94th percentile is considered obese.

Pediatrics often use the weight and height of a child to assess their physical development compared to growth charts that show the averages and percentiles for children of different ages and sex for a given country.

Of course, body mass index can hardly be called an ideal indicator. It does not take into account many factors of physical development, such as the mass of adipose tissue and muscles and body type. BMI may misinterpret an athlete with a large muscle mass as overweight and at the same time not note the disadvantage of a person with excessive body fat mass, who, despite a normal body mass index, belongs to a group of people with an increased risk of cardiovascular diseases, diabetes type 2 and premature death.

Percentile scores in education

Another common example in Western education is percentile test scores, which are the percentage of performance below a given target. Test scores in the form of percentiles can often be found in the reports that schools provide to parents. For example, if a student ranks in the 60th percentile, this means that the student did better than 60% of the other students. In other words, this result is better than the average and means that the student studied well. Percentile results for students or students who take a test or exam allow you to compare the performance of an individual student with other students in the comparison group.

Test results in percentile form can often be found in the reports that schools provide to parents.

Author of the article: Anatoly Zolotkov

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