# Statistical Functions Part Three

## CONFIDENCE

Returns the (1-alpha) confidence interval for a normal distribution. This function is available since LibreOffice 4.2.

#### Syntax

CONFIDENCE(Alpha; STDEV; Size)

Alpha is the level of the confidence interval.

STDEV is the standard deviation for the total population.

Size is the size of the total population.

#### Example

=CONFIDENCE(0.05; 1.5; 100) gives 0.29.

## CONFIDENCE.NORM

Returns the (1-alpha) confidence interval for a normal distribution. This function is available since LibreOffice 4.2.

#### Syntax

CONFIDENCE(Alpha; STDEV; Size)

Alpha is the level of the confidence interval.

STDEV is the standard deviation for the total population.

Size is the size of the total population.

#### Example

=CONFIDENCE(0.05; 1.5; 100) gives 0.29.

## CONFIDENCE

Returns the (1-alpha) confidence interval for a normal distribution.

#### Syntax

CONFIDENCE(Alpha; STDEV; Size)

Alpha is the level of the confidence interval.

STDEV is the standard deviation for the total population.

Size is the size of the total population.

#### Example

=CONFIDENCE(0.05; 1.5; 100) gives 0.29.

## LARGE

Returns the Rank_c-th largest value in a data set. This function is part of the Open Document Format for Office Applications (OpenDocument) standard Version 1.2. (ISO/IEC 26300:2-2015)

#### Syntax

LARGE(Data; Rank_c)

Data is the cell range of data.

RankC is the ranking of the value. If RankC is an array, the function becomes an array function.

#### Example

=LARGE(A1:C50;2) gives the second largest value in A1:C50.

=LARGE(A1:C50;B1:B5) entered as an array function gives an array of the c-th largest value in A1:C50 with ranks defined in B1:B5.

## SMALL

Returns the Rank_c-th smallest value in a data set. This function is part of the Open Document Format for Office Applications (OpenDocument) standard Version 1.2. (ISO/IEC 26300:2-2015)

#### Syntax

SMALL(Data; Rank_c)

Data is the cell range of data.

RankC is the rank of the value. If RankC is an array, the function becomes an array function.

#### Example

=SMALL(A1:C50;2) gives the second smallest value in A1:C50.

=SMALL(A1:C50;B1:B5) entered as an array function gives an array of the c-th smallest value in A1:C50 with ranks defined in B1:B5.

## CORREL

Returns the correlation coefficient between two data sets.

#### Syntax

CORREL(Data_1; Data_2)

Data_1 is the first data set.

Data_2 is the second data set.

#### Example

=CORREL(A1:A50; B1:B50) calculates the correlation coefficient as a measure of the linear correlation of the two data sets.

## COVARIANCE.S

Returns the covariance of the product of paired deviations, for a sample of the population. This function is available since LibreOffice 4.2.

#### Syntax

COVARIANCE.S(Data1; Data2)

Data_1 is the first data set.

Data_2 is the second data set.

#### Example

=COVAR(A1:A30; B1:B30)

## COVARIANCE.P

Returns the covariance of the product of paired deviations, for the entire population. This function is available since LibreOffice 4.2.

#### Syntax

COVARIANCE.P(Data1; Data2)

Data_1 is the first data set.

Data_2 is the second data set.

#### Example

=COVAR(A1:A30; B1:B30)

## COVAR

Returns the covariance of the product of paired deviations.

#### Syntax

COVAR(Data_1; Data_2)

Data_1 is the first data set.

Data_2 is the second data set.

#### Example

=COVAR(A1:A30; B1:B30)

Returns the inverse of the lognormal distribution.

#### Syntax

Number is the probability value for which the inverse standard logarithmic distribution is to be calculated.

Mean is the arithmetic mean of the standard logarithmic distribution.

STDEV is the standard deviation of the standard logarithmic distribution.

## LOGNORMDIST

Returns the inverse of the lognormal distribution.

This function is identical to LOGINV and was introduced for interoperability with other office suites. This function is available since LibreOffice 4.3.

#### Syntax

NORMINV(Number; Mean; STDEV)

Number is the probability value for which the inverse standard logarithmic distribution is to be calculated.

Mean is the arithmetic mean of the standard logarithmic distribution.

STDEV is the standard deviation of the standard logarithmic distribution.

## KURT

Returns the kurtosis of a data set (at least 4 values required).

#### Syntax

KURT(Number 1 [; Number 2 [; … [; Number 255]]])

Number 1, Number 2, … , Number 255 are numbers, references to cells or to cell ranges of numbers.

The parameters should specify at least four values.

#### Example

=KURT(A1;A2;A3;A4;A5;A6)

## CRITBINOM

Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value.

#### Syntax

CRITBINOM(Trials; SP; Alpha)

Trials is the total number of trials.

SP is the probability of success for one trial.

Alpha is the threshold probability to be reached or exceeded.

#### Example

=CRITBINOM(100; 0.5; 0.1) yields 44.

## LOGNORMDIST

Returns the values of a Gamma distribution.

#### Syntax

LOGNORMDIST(Number [; Mean [; StDev [; Cumulative]]])

Number is the probability value for which the standard logarithmic distribution is to be calculated.

Mean is the mean value of the standard logarithmic distribution.

STDEV is the standard deviation of the standard logarithmic distribution.

C = 0 calculates the density function C = 1 the distribution.

#### Example

=LOGNORMDIST(0.1; 0; 1) returns 0.01.

## LOGNORMDIST

Returns the values of a Gamma distribution. This function is available since LibreOffice 4.3.

#### Syntax

LOGNORMDIST(Number; Mean; STDEV)

Number is the probability value for which the standard logarithmic distribution is to be calculated.

Mean is the mean value of the standard logarithmic distribution.

STDEV is the standard deviation of the standard logarithmic distribution.

C = 0 calculates the density function C = 1 the distribution.

#### Example

=LOGNORMDIST(0.1; 0; 1) returns 0.01.