Statistical Functions Part Four

MAX function MAX Returns the maximum value in a list of arguments. Returns 0 if no numeric value and no error was encountered in the cell range(s) passed as cell reference(s). Text cells are ignored by MIN() and MAX(). The functions MINA() and MAXA() return 0 if no value (numeric or text) and no error was encountered. Passing a literal string argument to MIN() or MAX(), e.g. MIN("string"), still results in an error. Syntax MAX(Number1; Number2; ...Number30) Number1; Number2;...Number30 are numerical values or ranges. Example =MAX(A1;A2;A3;50;100;200) returns the largest value from the list. =MAX(A1:B100) returns the largest value from the list.

MAXA function MAXA Returns the maximum value in a list of arguments. In opposite to MAX, here you can enter text. The value of the text is 0. The functions MINA() and MAXA() return 0 if no value (numeric or text) and no error was encountered. Syntax MAXA(Value1; Value2; ... Value30) Value1; Value2;...Value30 are values or ranges. Text has the value of 0. Example =MAXA(A1;A2;A3;50;100;200;"Text") returns the largest value from the list. =MAXA(A1:B100) returns the largest value from the list.

MEDIAN function MEDIAN Returns the median of a set of numbers. In a set containing an uneven number of values, the median will be the number in the middle of the set and in a set containing an even number of values, it will be the mean of the two values in the middle of the set. Syntax MEDIAN(Number1; Number2; ...Number30) Number1; Number2;...Number30 are values or ranges, which represent a sample. Each number can also be replaced by a reference. Example for an odd number: =MEDIAN(1;5;9;20;21) returns 9 as the median value. for an even number: =MEDIAN(1;5;9;20) returns the average of the two middle values 5 and 9, thus 7.

MIN function MIN Returns the minimum value in a list of arguments. Returns 0 if no numeric value and no error was encountered in the cell range(s) passed as cell reference(s). Text cells are ignored by MIN() and MAX(). The functions MINA() and MAXA() return 0 if no value (numeric or text) and no error was encountered. Passing a literal string argument to MIN() or MAX(), e.g. MIN("string"), still results in an error. Syntax MIN(Number1; Number2; ...Number30) Number1; Number2;...Number30 are numerical values or ranges. Example =MIN(A1:B100) returns the smallest value in the list.

MINA function MINA Returns the minimum value in a list of arguments. Here you can also enter text. The value of the text is 0. The functions MINA() and MAXA() return 0 if no value (numeric or text) and no error was encountered. Syntax MINA(Value1; Value2; ... Value30) Value1; Value2;...Value30 are values or ranges. Text has the value of 0. Example =MINA(1;"Text";20) returns 0. =MINA(A1:B100) returns the smallest value in the list.

AVEDEV function averages;statistical functions mw added "averages;" AVEDEV Returns the average of the absolute deviations of data points from their mean. Displays the diffusion in a data set. Syntax AVEDEV(Number1; Number2; ...Number30) Number1, Number2,...Number30 are values or ranges that represent a sample. Each number can also be replaced by a reference. Example =AVEDEV(A1:A50)

AVERAGE function AVERAGE Returns the average of the arguments. Syntax AVERAGE(Number1; Number2; ...Number30) Number1; Number2;...Number 0 are numerical values or ranges. Example =AVERAGE(A1:A50)

AVERAGEA function AVERAGEA Returns the average of the arguments. The value of a text is 0. Syntax AVERAGEA(Value1; Value2; ... Value30) Value1; Value2;...Value30 are values or ranges. Text has the value of 0. Example =AVERAGEA(A1:A50)

AVERAGEIF function AVERAGEIFkschenk added this entry Average the values of cells in a range that meet a criteria. Syntax AVERAGEIF( Reference R ; Criterion C [ ; Reference A ] ) If reference A is omitted, averages the values of cells in the reference range R that meet the Criterion C. If reference A is given, averages the values of cells of a range that is constructed using the top left cell of reference A and applying the dimensions, shape and size, of reference R. Does not accept constant values as reference parameters. If no cell in range R matches the Criterion C, an Error is returned. If no Numbers are in the range to be averaged, an Error is returned. Examples =AVERAGEIF(A1:A50;">"0) will return the average of A1:A50 of all positive values in the range.

AVERAGEIFS function AVERAGEIFSkschenk added this entry Average the values of cells that meet multiple criteria in multiple ranges. Syntax AVERAGEIFS( Reference A ; Reference R1 ; Criterion C1 [ ; Reference R2 ; Criterion C2 ]... ) Averages the values of cells in the reference range A that meet the Criterion C1 in the reference range R1 and the Criterion C2 in the reference range R2, and so on. All reference ranges shall have the same dimension and size, else an Error is returned. A logical AND is applied between each array result of each selection; a cell of reference range A is evaluated only if the same position in each array is the result of a Criterion match. If no numbers are in the result set to be averaged, an Error is returned. Example =AVERAGEIFS(A1:A50;B1:B25;">"0) will return the average of A1:A50 if all cells in the range B1 to B25 are greater than 0.

MODE function most common value mw added one entry MODE Returns the most common value in a data set. If there are several values with the same frequency, it returns the smallest value. An error occurs when a value doesn't appear twice. Syntax MODE(Number1; Number2; ...Number30) Number1; Number2;...Number30 are numerical values or ranges. Example =MODE(A1:A50)

NEGBINOMDIST function negative binomial distribution mw added one entry NEGBINOMDIST Returns the negative binomial distribution. Syntax NEGBINOMDIST(X; R; SP) X represents the value returned for unsuccessful tests. R represents the value returned for successful tests. SP is the probability of the success of an attempt. Example =NEGBINOMDIST(1;1;0.5) returns 0.25.

NORMINV function normal distribution;inverse of mw added one entry NORMINV Returns the inverse of the normal cumulative distribution. Syntax NORMINV(Number; Mean; StDev) Number represents the probability value used to determine the inverse normal distribution. Mean represents the mean value in the normal distribution. StDev represents the standard deviation of the normal distribution. Example =NORMINV(0.9;63;5) returns 69.41. If the average egg weighs 63 grams with a standard deviation of 5, then there will be 90% probability that the egg will not be heavier than 69.41 grams.

NORMDIST function density function mw added one entry NORMDIST Returns the density function or the normal cumulative distribution. Syntax NORMDIST(Number; Mean; StDev; C) Number is the value of the distribution based on which the normal distribution is to be calculated. Mean is the mean value of the distribution. StDev is the standard deviation of the distribution. C is optional. C = 0 calculates the density function, C = 1 calculates the distribution. Example =NORMDIST(70;63;5;0) returns 0.03. =NORMDIST(70;63;5;1) returns 0.92.

PEARSON function PEARSON Returns the Pearson product moment correlation coefficient r. Syntax PEARSON(Data1; Data2) Data1 represents the array of the first data set. Data2 represents the array of the second data set. Example =PEARSON(A1:A30;B1:B30) returns the Pearson correlation coefficient of both data sets.

PHI function PHI Returns the values of the distribution function for a standard normal distribution. Syntax PHI(Number) Number represents the value based on which the standard normal distribution is calculated. Example =PHI(2.25) = 0.03 =PHI(-2.25) = 0.03 =PHI(0) = 0.4

POISSON function POISSON Returns the Poisson distribution. Syntax POISSON(Number; Mean; C) Number represents the value based on which the Poisson distribution is calculated. Mean represents the middle value of the Poisson distribution. C (optional) = 0 or False calculates the density function; C = 1 or True calculates the distribution. When omitted, the default value True is inserted when you save the document, for best compatibility with other programs and older versions of %PRODUCTNAME. Example =POISSON(60;50;1) returns 0.93.

PERCENTILE function PERCENTILE Returns the alpha-percentile of data values in an array. A percentile returns the scale value for a data series which goes from the smallest (Alpha=0) to the largest value (alpha=1) of a data series. For Alpha = 25%, the percentile means the first quartile; Alpha = 50% is the MEDIAN. Syntax PERCENTILE(Data; Alpha) Data represents the array of data. Alpha represents the percentage of the scale between 0 and 1. Example =PERCENTILE(A1:A50;0.1) represents the value in the data set, which equals 10% of the total data scale in A1:A50.

PERCENTRANK function PERCENTRANK Returns the percentage rank of a value in a sample. Syntax PERCENTRANK(Data; Value) Data represents the array of data in the sample. Value represents the value whose percentile rank must be determined. Example =PERCENTRANK(A1:A50;50) returns the percentage rank of the value 50 from the total range of all values found in A1:A50. If 50 falls outside the total range, an error message will appear.

QUARTILE function QUARTILE Returns the quartile of a data set. Syntax QUARTILE(Data; Type) Data represents the array of data in the sample. Type represents the type of quartile. (0 = MIN, 1 = 25%, 2 = 50% (MEDIAN), 3 = 75% and 4 = MAX.) Example =QUARTILE(A1:A50;2) returns the value of which 50% of the scale corresponds to the lowest to highest values in the range A1:A50.