Statistical Functions Part Four
AVEDEV
Returns the average of the absolute deviations of data points from their mean. Displays the diffusion in a data set.
Syntax
AVEDEV(Number 1; Number 2; ...Number 30)
Number 1, Number 2,...Number 30 are values or ranges that represent a sample. Each number can also be replaced by a reference.
Example
=AVEDEV(A1:A50)
AVERAGE
Returns the average of the arguments.
Syntax
AVERAGE(Number 1; Number 2; ...Number 30)
Number 1; Number 2;...Number 30 are numerical values or ranges.
Example
=AVERAGE(A1:A50)
AVERAGEA
Returns the average of the arguments. The value of a text is 0.
Syntax
AVERAGEA(Value 1; Value 2; ... Value 30)
Value 1; Value 2;...Value 30 are values or ranges. Text has the value of 0.
Example
=AVERAGEA(A1:A50)
MAX
Returns the maximum value in a list of arguments.
Syntax
MAX(Number 1; Number 2; ...Number 30)
Number 1; Number 2;...Number 30 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
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.
Syntax
MAXA(Value 1; Value 2; ... Value 30)
Value 1; Value 2;...Value 30 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
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(Number 1; Number 2; ...Number 30)
Number 1; Number 2;...Number 30 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
Returns the minimum value in a list of arguments.
Syntax
MIN(Number 1; Number 2; ...Number 30)
Number 1; Number 2;...Number 30 are numerical values or ranges.
Example
=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.
Syntax
MINA(Value 1; Value 2; ... Value 30)
Value 1; Value 2;...Value 30 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.
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(Number 1; Number 2; ...Number 30)
Number 1; Number 2;...Number 30 are numerical values or ranges.
Example
=MODE(A1:A50)
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.
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 = 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.
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 69.41g grams.
PEARSON
Returns the Pearson product moment correlation coefficient r.
Syntax
PEARSON(Data_1; Data_2)
Data_1 represents the array of the first data set.
Data_2 represents the array of the second data set.
Example
=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.
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
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.
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
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 = 0 calculates the density function; C = 1 calculates the distribution.
Example
=POISSON(60;50;1) returns 0.93.
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.
Index
MAX function
MAXA function
MEDIAN function
MIN function
MINA function
AVEDEV function
averages,statistical functions
AVERAGE function
AVERAGEA function
MODE function
most common value
NEGBINOMDIST function
negative binomial distribution
NORMINV function
normal distribution,inverse of
NORMDIST function
density function
PEARSON function
PHI function
POISSON function
PERCENTILE function
PERCENTRANK function
QUARTILE function
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