A percentile ranking (or centile) is the value of a data item below which a certain percent of observations fall. If 27% of people in the United States are under 20 years of age, The 27^{th} percentile ranking for the age is 20 years. If you are 20 years old, you are in the 27^{th} percentile.
To find a percentile ranking of a data value:
Example 1: Scores on a test. The scores on a test were as follows: 47, 55, 62, 64, 73, 73, 75, 78, 78, 78, 80, 81, 82, 83, 86, 86, 87, 90, 92, 98, 98, 99. What is the percentile ranking of a score of 86?
Step | Description | Calculation |
---|---|---|
1 | Count the number of data items below the value of 86. | There are 14 data items below the value of 86. |
2 | Count the total number of data items. | There are a total of 22 data items. |
3 | Divide the number of data items below 86 by the total number of data items. | 14/22 = 0.636363. |
4 | Convert the quotient to a percentage. | 0.636363·100 = 63.6363%. |
5 | Round the percentage to the nearest whole number. | 63.6363% rounded to the nearest whole number is 63%. |
- | Conclusion | The percentile ranking of a score of 86 on this test is 63^{rd} percentile. A score of 86 is greater than 63% of the scores on the test. |
Table 1: Calculating percentile example 1 |
# | A | B | C | D |
E | F | G | H | I |
J | K | L | M | N |
O | P | Q | R | S |
T | U | V | W | Y |
Z | X |
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