Difference between revisions of "Documentation/How Tos/Calc: PERCENTILE function"

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{{Documentation/MasterTOC
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{{DISPLAYTITLE:PERCENTILE function}}
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{{Documentation/CalcFunc StatisticalTOC
|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|ShowPrevNext=block
|ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Statistical_functions|<div style="font-size: 140%;">Statistical Functions]]
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|PrevPage=Documentation/How_Tos/Calc:_MINA_function
|ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_PERCENTRANK_function
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|NextPage=Documentation/How_Tos/Calc:_PERCENTRANK_function
|ShowPrevPage=block|PrevPage=Documentation/How_Tos/Calc:_MINA_function
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}}__NOTOC__
|ShowPrevPart=block|PrevPart=Documentation/How_Tos/Calc:_Spreadsheet_functions
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|toccontent= <div style="padding: 4px; font-size: 130%; font-weight: hidden; background-color:#DCE9FC;">FUNCTIONS</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Measures of Central Tendency</div>
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* [[Documentation/How_Tos/Calc:_AVEDEV_function|<div style="font-size: 120%;">Avedev]]
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* [[Documentation/How_Tos/Calc:_AVERAGE_function|<div style="font-size: 120%;">Average]]
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* [[Documentation/How_Tos/Calc:_AVERAGEA_function|<div style="font-size: 120%;">Averagea]]
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* [[Documentation/How_Tos/Calc:_COUNT_function|<div style="font-size: 120%;">Count]]
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* [[Documentation/How_Tos/Calc:_COUNTA_function|<div style="font-size: 120%;">Counta]]
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* [[Documentation/How_Tos/Calc:_GEOMEAN_function|<div style="font-size: 120%;">Geomean]]
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* [[Documentation/How_Tos/Calc:_HARMEAN_function|<div style="font-size: 120%;">Hearmean]]
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* [[Documentation/How_Tos/Calc:_MEDIAN_function|<div style="font-size: 120%;">Median]]
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* [[Documentation/How_Tos/Calc:_MODE_function|<div style="font-size: 120%;">Mode]]
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* [[Documentation/How_Tos/Calc:_TRIMMEAN_function|<div style="font-size: 120%;">Trimmean]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Measures of dispersion / spread</div>
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* [[Documentation/How_Tos/Calc:_DEVSQ_function|<div style="font-size: 120%;">Devsq]]
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* [[Documentation/How_Tos/Calc:_KURT_function|<div style="font-size: 120%;">Kurt]]
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* [[Documentation/How_Tos/Calc:_SKEW_function|<div style="font-size: 120%;">Skew]]
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* [[Documentation/How_Tos/Calc:_STDEV_function|<div style="font-size: 120%;">Stdev]]
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* [[Documentation/How_Tos/Calc:_STDEVA_function|<div style="font-size: 120%;">Stedeva]]
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* [[Documentation/How_Tos/Calc:_STDEVP_function|<div style="font-size: 120%;">Stdevp]]
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* [[Documentation/How_Tos/Calc:_STDEVPA_function|<div style="font-size: 120%;">Stdevpa]]
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* [[Documentation/How_Tos/Calc:_VAR_function|<div style="font-size: 120%;">Var]]
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* [[Documentation/How_Tos/Calc:_VARA_function|<div style="font-size: 120%;">Vara]]
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* [[Documentation/How_Tos/Calc:_VARP_function|<div style="font-size: 120%;">Varp]]
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* [[Documentation/How_Tos/Calc:_VARPA_function|<div style="font-size: 120%;">Varpa]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Probability and statistics</div>
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* [[Documentation/How_Tos/Calc:_B_function|<div style="font-size: 120%;">B]]
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* [[Documentation/How_Tos/Calc:_BETADIST_function|<div style="font-size: 120%;">Betadist]]
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* [[Documentation/How_Tos/Calc:_BETAINV_function|<div style="font-size: 120%;">Betainv]]
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* [[Documentation/How_Tos/Calc:_BINOMDIST_function|<div style="font-size: 120%;">Binomdist]]
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* [[Documentation/How_Tos/Calc:_CHIDIST_function|<div style="font-size: 120%;">Chidist]]
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* [[Documentation/How_Tos/Calc:_CHIINV_function|<div style="font-size: 120%;">Chiinv]]
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* [[Documentation/How_Tos/Calc:_CHISQINV_function|<div style="font-size: 120%;">Chisqinv]]
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* [[Documentation/How_Tos/Calc:_CHITEST_function|<div style="font-size: 120%;">Chitest]]
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* [[Documentation/How_Tos/Calc:_CONFIDENCE_function|<div style="font-size: 120%;">Confidence]]
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* [[Documentation/How_Tos/Calc:_CRITBINOM_function|<div style="font-size: 120%;">Critbinom]]
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* [[Documentation/How_Tos/Calc:_EXPONDIST_function|<div style="font-size: 120%;">Expondist]]
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* [[Documentation/How_Tos/Calc:_FINV_function|<div style="font-size: 120%;">Finv]]
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* [[Documentation/How_Tos/Calc:_FISHER_function|<div style="font-size: 120%;">Fisher]]
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* [[Documentation/How_Tos/Calc:_FISHERINV_function|<div style="font-size: 120%;">Fisherinv]]
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* [[Documentation/How_Tos/Calc:_FDIST_function|<div style="font-size: 120%;">Fdist]]
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* [[Documentation/How_Tos/Calc:_FTEST_function|<div style="font-size: 120%;">Ftest]]
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* [[Documentation/How_Tos/Calc:_GAMMA_function|<div style="font-size: 120%;">Gamma]]
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* [[Documentation/How_Tos/Calc:_GAMMAINV_function|<div style="font-size: 120%;">Gammainv]]
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* [[Documentation/How_Tos/Calc:_GAMMALN_function|<div style="font-size: 120%;">Gammaln]]
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* [[Documentation/How_Tos/Calc:_GAMMADIST_function|<div style="font-size: 120%;">Gammadist]]
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* [[Documentation/How_Tos/Calc:_GAUSS_function|<div style="font-size: 120%;">Gauss]]
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* [[Documentation/How_Tos/Calc:_HYPGEOMDIST_function|<div style="font-size: 120%;">Hypgeomdist]]
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* [[Documentation/How_Tos/Calc:_LOGINV_function|<div style="font-size: 120%;">Loginv]]
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* [[Documentation/How_Tos/Calc:_LOGNORMDIST_function|<div style="font-size: 120%;">Lognormdist]]
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* [[Documentation/How_Tos/Calc:_NEGBINOMDIST_function|<div style="font-size: 120%;">Negbinomdist]]
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* [[Documentation/How_Tos/Calc:_NORMINV_function|<div style="font-size: 120%;">Norminv]]
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* [[Documentation/How_Tos/Calc:_NORMDIST_function|<div style="font-size: 120%;">Normdist]]
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* [[Documentation/How_Tos/Calc:_NORMSINV_function|<div style="font-size: 120%;">Normsinv]]
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* [[Documentation/How_Tos/Calc:_NORMSDIST_function|<div style="font-size: 120%;">Normsdist]]
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* [[Documentation/How_Tos/Calc:_PERMUT_function|<div style="font-size: 120%;">Permut]]
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* [[Documentation/How_Tos/Calc:_PERMUTATIONA_function|<div style="font-size: 120%;">Permutationa]]
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* [[Documentation/How_Tos/Calc:_PHI_function|<div style="font-size: 120%;">Phi]]
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* [[Documentation/How_Tos/Calc:_POISSON_function|<div style="font-size: 120%;">Poisson]]
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* [[Documentation/How_Tos/Calc:_PROB_function|<div style="font-size: 120%;">Prob]]
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* [[Documentation/How_Tos/Calc:_STANDARDIZE_function|<div style="font-size: 120%;">Standardize]]
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* [[Documentation/How_Tos/Calc:_TDIST_function|<div style="font-size: 120%;">Tdist]]
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* [[Documentation/How_Tos/Calc:_TINV_function|<div style="font-size: 120%;">Tinv]]
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* [[Documentation/How_Tos/Calc:_TTEST_function|<div style="font-size: 120%;">Ttest]]
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* [[Documentation/How_Tos/Calc:_WEIBULL_function|<div style="font-size: 120%;">Weibull]]
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* [[Documentation/How_Tos/Calc:_ZTEST_function|<div style="font-size: 120%;">Ztest]]
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Correlation and line fitting</div>
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* [[Documentation/How_Tos/Calc:_CORREL_function|<div style="font-size: 120%;">Correl]]
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* [[Documentation/How_Tos/Calc:_COVAR_function|<div style="font-size: 120%;">Covar]]
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* [[Documentation/How_Tos/Calc:_FORECAST_function|<div style="font-size: 120%;">Forecast]]
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* [[Documentation/How_Tos/Calc:_INTERCEPT_function|<div style="font-size: 120%;">Intercept]]
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* [[Documentation/How_Tos/Calc:_PEARSON_function|<div style="font-size: 120%;">Pearson]]
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* [[Documentation/How_Tos/Calc:_RSQ_function|<div style="font-size: 120%;">Rsq]]
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* [[Documentation/How_Tos/Calc:_SLOPE_function|<div style="font-size: 120%;">Slope]]
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* [[Documentation/How_Tos/Calc:_STEYX_function|<div style="font-size: 120%;">Steyx]]
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<div style="font-size: 110%;">''See also (in the [[Documentation/How_Tos/Calc:_Array_functions|Array Function]] category); GROWTH, LINEST, LOGEST, TREND''</div>
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<div style="font-size: 140%; border-style: outset outset outset none; border-color:#DCE9FC;">Ranking</div>
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* [[Documentation/How_Tos/Calc:_LARGE_function|<div style="font-size: 120%;">Large]]
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* [[Documentation/How_Tos/Calc:_MAX_function|<div style="font-size: 120%;">Max]]
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* [[Documentation/How_Tos/Calc:_MAXA_function|<div style="font-size: 120%;">Maxa]]
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* [[Documentation/How_Tos/Calc:_MIN_function|<div style="font-size: 120%;">Min]]
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* [[Documentation/How_Tos/Calc:_MINA_function|<div style="font-size: 120%;">Mina]]
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* [[Documentation/How_Tos/Calc:_PERCENTILE_function|<div style="font-size: 120%; border-style: double; border-color:#778899;">Percentile]]
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* [[Documentation/How_Tos/Calc:_PERCENTRANK_function|<div style="font-size: 120%;">Percentrank]]
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* [[Documentation/How_Tos/Calc:_QUARTILE_function|<div style="font-size: 120%;">Quartile]]
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* [[Documentation/How_Tos/Calc:_RANK_function|<div style="font-size: 120%;">Rank]]
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* [[Documentation/How_Tos/Calc:_SMALL_function|<div style="font-size: 120%;">Small]]
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}}__TOC__
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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.

Latest revision as of 14:53, 2 February 2024



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
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