# Statistical Functions Part Four

## AVERAGEIF

Returns the arithmetic mean of all cells in a range that satisfy a given condition. The AVERAGEIF function sums up all the results that match the logical test and divides this sum by the quantity of selected values.

## AVERAGEIFS

Returns the arithmetic mean of all cells in a range that satisfy given multiple criteria. The AVERAGEIFS function sums up all the results that match the logical tests and divides this sum by the quantity of selected values.

## 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.

=AVEDEV(A1:A50)

## AVERAGE

Returns the average of the arguments.

### Syntax

AVERAGE(Number1; Number2; ...; Number30)

Number1, Number2, ..., Number30 are numerical values or ranges.

=AVERAGE(A1:A50)

## 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.

### Приклад

=AVERAGEA(A1:A50)

## 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.

### Приклад

=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

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.

### Приклад

=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

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.

### Приклад

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

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.

### Приклад

=MIN(A1:B100) returns the smallest value in the list.

## 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.

### Приклад

=MINA(1;"Text";20) returns 0.

=MINA(A1:B100) returns the smallest value in the list.

## 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.

This function is part of the Open Document Format for Office Applications (OpenDocument) standard Version 1.2. (ISO/IEC 26300:2-2015)

### Syntax

MODE(Number1; Number2; ...; Number30)

Number1, Number2, ..., Number30 are numerical values or ranges.

=MODE(A1:A50)

## MODE.MULT

Returns a vertical array of the statistical modes (the most frequently occurring values) within a list of supplied numbers.

### Syntax

MODE.MULT(Number1; Number2; ...; Number30)

Number1, Number2, ..., Number30 are numerical values or ranges.

As the MODE.MULT function returns an array of values, it must be entered as an array formula. If the function is not entered as an array formula, only the first mode is returned, which is the same as using the MODE.SNGL function.

### Приклад

=MODE.MULT(A1:A50)

## MODE.SNGL

Returns the most frequently occurring, or repetitive, value in an array or range of data. 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.SNGL(Number1; Number2; ...; Number30)

Number1, Number2, ..., Number30 are numerical values or ranges.

If the data set contains no duplicate data points, MODE.SNGL returns the #VALUE! error value.

### Приклад

=MODE.SNGL(A1:A50)

## NEGBINOM.DIST

Повертає щільність від'ємного біномного розподілу або функцію розподілу.

### Syntax

NEGBINOM.DIST(X; R; SP; Cumulative)

X represents the value returned for unsuccessful tests.

R represents the value returned for successful tests.

SP ймовірність успіху кожного випробування.

Якщо необов'язковий параметр Інтегральний = 0, то обчислюється функція щільності, а якщо параметр Інтегральний = 1, то обчислюється розподіл.

### Приклад

=NEGBINOM.DIST(1;1;0.5;0) returns 0.25.

=NEGBINOM.DIST(1;1;0.5;1) returns 0.75.

## NEGBINOMDIST

Повертає від'ємний біномний розподіл.

### Syntax

NEGBINOMDIST(X; R; SP)

X represents the value returned for unsuccessful tests.

R represents the value returned for successful tests.

SP ймовірність успіху кожного випробування.

### Приклад

=NEGBINOMDIST(1;1;0.5) returns 0.25.

## NORM.DIST

Повертає функцію щільності або нормальний інтегральний розподіл

### Syntax

NORM.DIST(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.

Якщо C = 0, то обчислюється функція щільності, а якщо C = 1, то обчислюється розподіл.

### Приклад

=NORM.DIST(70;63;5;0) returns 0.029945493.

=NORM.DIST(70;63;5;1) returns 0.9192433408.

## NORM.INV

Повертає значення оберненого нормального інтегрального розподілу.

### Syntax

NORM.INV(Number; Mean; StDev)

Число: значення ймовірності для розрахунку оберненого нормального розподілу.

Mean represents the mean value in the normal distribution.

StDev represents the standard deviation of the normal distribution.

### Приклад

=NORM.INV(0.9;63;5) returns 69.4077578277. 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 69.41g grams.

## NORMDIST

Повертає функцію щільності або нормальний інтегральний розподіл

### 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 - необов'язковий параметр. Якщо C = 0, то обчислюється функція щільності, а якщо C = 1, то обчислюється функція розподілу.

### Приклад

=NORMDIST(70;63;5;0) returns 0.03.

=NORMDIST(70;63;5;1) returns 0.92.

## NORMINV

Повертає значення оберненого нормального інтегрального розподілу.

### Syntax

NORMINV(Number; Mean; StDev)

Число: значення ймовірності для розрахунку оберненого нормального розподілу.

Mean represents the mean value in the normal distribution.

StDev represents the standard deviation of the normal distribution.

### Приклад

=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 69.41g grams.

## 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.

### Приклад

=PEARSON(A1:A30;B1:B30) returns the Pearson correlation coefficient of both data sets.

## 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.

### Приклад

=PERCENTILE(A1:A50;0.1) represents the value in the data set, which equals 10% of the total data scale in A1:A50.

## PERCENTILE.EXC

Returns the Alpha'th percentile of a supplied range of values for a given value of Alpha, within the range 0 to 1 (exclusive). 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.

If Alpha is not a multiple of 1/(n+1), (where n is the number of values in the supplied array), the function interpolates between the values in the supplied array, to calculate the percentile value. However, if Alpha is less than 1/(n+1) or Alpha is greater than n/(n+1), the function is unable to interpolate, and so returns an error.

The difference between PERCENTILE.INC and PERCENTILE.EXC is that, in the PERCENTILE.INC function the value of alpha is is within the range 0 to 1 inclusive, and in the PERCENTILE.EXC function, the value of alpha is within the range 0 to 1 exclusive.

### Syntax

PERCENTILE.EXC(Data; Alpha)

Data represents the array of data.

Alpha represents the percentage of the scale between 0 and 1.

### Приклад

=PERCENTILE.EXC(A1:A50;10%) represents the value in the data set, which equals 10% of the total data scale in A1:A50.

## PERCENTILE.INC

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.

The difference between PERCENTILE.INC and PERCENTILE.EXC is that, in the PERCENTILE.INC function the value of alpha is is within the range 0 to 1 inclusive, and in the PERCENTILE.EXC function, the value of alpha is within the range 0 to 1 exclusive.

### Syntax

PERCENTILE.INC(Data; Alpha)

Data represents the array of data.

Alpha represents the percentage of the scale between 0 and 1.

### Приклад

=PERCENTILE.INC(A1:A50;0.1) represents the value in the data set, which equals 10% of the total data scale in A1:A50.

## PERCENTRANK

Returns the percentage rank of a value in a sample.

### Syntax

PERCENTRANK(Data; Value; Significance)

Data represents the array of data in the sample.

Value represents the value whose percentile rank must be determined.

Significance An optional argument that specifies the number of significant digits that the returned percentage value is rounded to. If omitted, a value of 3 is used.

### Приклад

=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.

## PERCENTRANK.EXC

Returns the relative position, between 0 and 1 (exclusive), of a specified value within a supplied array.

The difference between PERCENTRANK.INC and PERCENTRANK.EXC is that PERCENTRANK.INC calculates a value in the range 0 to 1 inclusive, whereas the PERCENTRANK.EXC function calculates a value in the range 0 to 1 exclusive.

### Syntax

PERCENTRANK.EXC(Data; Value; Significance)

Data represents the array of data in the sample.

Value represents the value whose percentile rank must be determined.

Significance An optional argument that specifies the number of significant digits that the returned percentage value is rounded to.

### Приклад

=PERCENTRANK.EXC(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.

## PERCENTRANK.INC

Returns the relative position, between 0 and 1 (inclusive), of a specified value within a supplied array.

The difference between PERCENTRANK.INC and PERCENTRANK.EXC is that PERCENTRANK.INC calculates a value in the range 0 to 1 inclusive, whereas the PERCENTRANK.EXC function calculates a value in the range 0 to 1 exclusive.

### Syntax

PERCENTRANK.INC(Data; Value; Significance)

Data represents the array of data in the sample.

Value represents the value whose percentile rank must be determined.

Significance An optional argument that specifies the number of significant digits that the returned percentage value is rounded to.

### Приклад

=PERCENTRANK.INC(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.

## 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.

### Приклад

=PHI(2.25) = 0.03

=PHI(-2.25) = 0.03

=PHI(0) = 0.4

## POISSON

Повертає пуассонівський розподіл.

### 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.

Якщо необов'язковий параметр C = 0 або FALSE, то обчислюється функція щільності, а в разі C = 1 або TRUE обчислюється розподіл. Якщо цей параметр пропущений, то для забезпечення сумісності з іншими програмами та попередніми версіями LibreOffice при збереженні документа вставляється типове значення TRUE.

### Приклад

=POISSON(60;50;1) returns 0.93.

## POISSON.DIST

Повертає пуассонівський розподіл.

### Syntax

POISSON.DIST(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 (необов'язкове) = 0 або False - обчислюється функція щільності, C = 1 або True - обчислюється розподіл. Якщо цей параметр пропущено, то для забезпечення сумісності з іншими програмами та попередніми версіями LibreOffice при збереженні документа вставляється типове значення True.

### Приклад

=POISSON.DIST(60;50;1) returns 0.9278398202.

## 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.)

### Приклад

=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.

## QUARTILE.EXC

Returns a requested quartile of a supplied range of values, based on a percentile range of 0 to 1 exclusive.

The difference between QUARTILE.INC and QUARTILE.EXC is that the QUARTILE.INC function bases its calculation on a percentile range of 0 to 1 inclusive, whereas the QUARTILE.EXC function bases its calculation on a percentile range of 0 to 1 exclusive.

### Syntax

QUARTILE.EXC(Data; Type)

Data represents the range of data values for which you want to calculate the specified quartile.

Type An integer between 1 and 3, representing the required quartile. (if type = 1 or 3, the supplied array must contain more than 2 values)

### Приклад

=QUARTILE.EXC(A1:A50;2) returns the value of which 50% of the scale corresponds to the lowest to highest values in the range A1:A50.

## QUARTILE.INC

Returns the quartile of a data set.

The difference between QUARTILE.INC and QUARTILE.EXC is that the QUARTILE.INC function bases its calculation on a percentile range of 0 to 1 inclusive, whereas the QUARTILE.EXC function bases its calculation on a percentile range of 0 to 1 exclusive.

### Syntax

QUARTILE.INC(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.)

### Приклад

=QUARTILE.INC(A1:A50;2) returns the value of which 50% of the scale corresponds to the lowest to highest values in the range A1:A50.