This percentile calculator calculates both individual percentiles and the percentiles table, providing solutions.
How to use the percentile calculator
The tool uses to create 'percentile', also called a 'percentile score' or 'centile':
- Enter delimited data
- You can copy the data from Excel and paste it into the calculator.
- You can choose the data delimiter under 'more options'.
What is percentile rank (PR) ?
The percentile rank of a value corresponds to the percentage of values in the population that are lower than the given value.
What is percentile?
The percentile, also called the percentile score, represents a value that is greater than or equal to the specified percentile rank percentage of the other values. The percentile is the inverse of the CDF.
Percentile rank formula
|PR = 100 *||Rank - 1|
|Sample Size - 1|
What is 95th percentile?
The 95th percentile score represents a value that is greater than or equal to 95 percent of the other values.
|Rank =||PR * (Sample Size - 1)||+ 1|
The percentile is the value with the rank above rank.
When the rank is not integer we calculate the percentile using the following formula:
Rank = Integer + Decimal
Percentile = Number(Integer) + Decimal*(Number(Integer + 1) - Number(Integer))
2. Calculate the index of the percentile:
|Rank =||Percentile Rank * (Sample Size - 1)||+ 1|
|Rank =||75 * (10 - 1)||+ 1 = 7.75|
Percentile = 7 + 0.75*(13 - 7) = 11.5.