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

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(moved the issue (now closed) to an example)
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__NOTOC__
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{{Documentation/MasterTOC
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|bookid=1234'''
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|booktitle=<div style="padding: 8px; font-size: 140%; font-weight: bold; background-color: #9BC0F5;">CALC FUNCTIONS</div>
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|ShowParttitle=block|parttitle=[[Documentation/How_Tos/Calc:_Statistical_functions|<div style="font-size: 140%;">Statistical Functions]]
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|ShowNextPage=block|NextPage=Documentation/How_Tos/Calc:_TRIMMEAN_function
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|ShowPrevPage=block|PrevPage=Documentation/How_Tos/Calc:_MEDIAN_function
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|ShowPrevPart=block|PrevPart=Documentation/How_Tos/Calc:_Spreadsheet_functions
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|ShowNextPart=block|NextPart=Documentation/How_Tos/Calc:_Text_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%; border-style: double; border-color:#778899;">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%;">Chinv]]
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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%;">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__
  
 
== MODE ==
 
== MODE ==

Revision as of 22:36, 1 June 2013


MODE

Returns the most common value in a set of numbers.

Syntax:

MODE(number1; number2; ... number30)

number1 to number30 are up to 30 numbers or ranges/arrays containing numbers.
MODE returns the number that occurs most often, or if more than one number occurs that many times, the smallest such number. If no number occurs more than once, MODE returns an error.


Advanced topic: MODE evaluates its parameters as array formulas - see the examples.


Example:

MODE(A1:A4)

where cells A1:A4 contain 1, 3, 2, 3 returns 3, the number occurring most often.

MODE(3; 7; 3; 9; 9; 3; 5; 1; 9; 5)

returns 3. The number 9 occurs the same number of times, but 3 is smaller.

( -MODE(-A1:A10)=MODE(A1:A10) )

returns TRUE if there is just one mode for the data in A1:A10, and FALSE otherwise. Notice the two minus signs.


Advanced topic: Evaluation as an array formula:

MODE(ABS({1; 1; 1; 2; 2; -2; -2}))

returns 2. The ABS function normally takes a single number, but here it is given an array. MODE forces the formula to be an array formula, so that the absolute value of each number in the array is found, and given to MODE as the array {1; 1; 1; 2; 2; 2; 2}. The most common value is now 2.


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