Difference between revisions of "Documentation/How Tos/Calc: PERCENTILE function"
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== PERCENTILE == | == PERCENTILE == | ||
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: <tt>'''PERCENTILE'''</tt> returns the value below which <tt>'''fraction'''</tt> of the numbers in <tt>'''numberlist'''</tt> lie. <tt>'''fraction'''</tt> must be between 0 and 1 inclusive; <tt>'''numberlist'''</tt> is a range or array of numbers, not necessarily in order. | : <tt>'''PERCENTILE'''</tt> returns the value below which <tt>'''fraction'''</tt> of the numbers in <tt>'''numberlist'''</tt> lie. <tt>'''fraction'''</tt> must be between 0 and 1 inclusive; <tt>'''numberlist'''</tt> is a range or array of numbers, not necessarily in order. | ||
| − | : <tt>'''PERCENTILE'''</tt> internally assigns a rank to each number in <tt>'''numberlist'''</tt>, where 0 is the rank of the lowest number, 1 of the next lowest and so on. The rank ''r'' of the value to be found is <tt>'''fraction'''</tt> * (''N''-1), where ''N'' is the count of numbers in <tt>'''numberlist'''</tt>. If ''r'' is integer the corresponding value from <tt>'''numberlist'''</tt> is returned; otherwise the value is calculated proportionately between the values with rank |''r''| and |''r''|+1 (see the examples). | + | : <tt>'''PERCENTILE'''</tt> internally assigns a rank to each number in <tt>'''numberlist'''</tt>, where 0 is the rank of the lowest number, 1 of the next lowest and so on. The rank ''r'' of the value to be found is <tt>'''fraction'''</tt> * (''N''-1), where ''N'' is the count of numbers in <tt>'''numberlist'''</tt>. If ''r'' is an integer, the corresponding value from <tt>'''numberlist'''</tt> is returned; otherwise the value is calculated proportionately between the values with rank |''r''| and |''r''|+1 (see the examples). |
: This function may be useful for example when determining a score below which lies a certain percentage of all scores for a test. It is of limited use with a small list of numbers. | : This function may be useful for example when determining a score below which lies a certain percentage of all scores for a test. It is of limited use with a small list of numbers. | ||
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* Despite its name, <tt>'''PERCENTILE'''</tt> requires a fraction, not a percentage. | * Despite its name, <tt>'''PERCENTILE'''</tt> requires a fraction, not a percentage. | ||
| − | {{ | + | {{SeeAlso|EN| |
* [[Documentation/How_Tos/Calc: QUARTILE function|QUARTILE]] | * [[Documentation/How_Tos/Calc: QUARTILE function|QUARTILE]] | ||
* [[Documentation/How_Tos/Calc: PERCENTRANK function|PERCENTRANK]] | * [[Documentation/How_Tos/Calc: PERCENTRANK function|PERCENTRANK]] | ||
Latest revision as of 14:53, 2 February 2024
Spreadsheet Lookup functions
Measures of dispersion / spread
Probability and statistics
Correlation and line fitting
See also (in the Arrays Functions category); GROWTH, LINEST, LOGEST, TREND
Ranking
PERCENTILE
Returns a specified percentile in a list of numbers.
Syntax:
PERCENTILE(numberlist; fraction)
- PERCENTILE returns the value below which fraction of the numbers in numberlist lie. fraction must be between 0 and 1 inclusive; numberlist is a range or array of numbers, not necessarily in order.
- PERCENTILE internally assigns a rank to each number in numberlist, where 0 is the rank of the lowest number, 1 of the next lowest and so on. The rank r of the value to be found is fraction * (N-1), where N is the count of numbers in numberlist. If r is an integer, the corresponding value from numberlist is returned; otherwise the value is calculated proportionately between the values with rank |r| and |r|+1 (see the examples).
- This function may be useful for example when determining a score below which lies a certain percentage of all scores for a test. It is of limited use with a small list of numbers.
- PERCENTILE returns the maximum, median, minimum value when fraction is 1, 0.5, 0 respectively.
Example:
PERCENTILE(A2:A99; 0.6)
- where cells A2:A99 contain scores from a test, returns the score below which 60% of the scores lie.
The next two examples illustrate the calculation, but are not intended to show practical application:
PERCENTILE({3; 4; 9; 11; 12}; 0.5)
- returns 9, the median value of the list.
PERCENTILE({9; 3; 7; 8}; 0.25)
- returns 6. There are 4 numbers in the list. The rank of the value to be found is 0.25 * (4-1) = 0.75. The lowest number 3 is assigned rank 0; the next highest number 7 is assigned rank 1. The value with rank 0.75 lies proportionately between 3 and 7, and is calculated as 3 + (7-3)*0.75 = 6.
Issues:
- Despite its name, PERCENTILE requires a fraction, not a percentage.
See Also
