Changes

*<math>n1</math>,<math>n2</math> are values to calculate kurtosis.

*<math>n1</math>,<math>n2</math> are values to calculate kurtosis.

==Description==

==Description==

*This function gives the value of kurtosis of a given set.

*This function gives the value of Kurtosis of a given set.

*Kurtosis is  the peakedness or flatness of the graph of a frequency distribution especially with respect to the concentration of values near the mean as compared with the normal distribution.

*Kurtosis is  the peak or flatness of a frequency distribution graph especially with respect to the concentration of values near the Mean as compared with the Normal Distribution.

*A normal distribution  has a kurtosis of 3.

*A normal distribution  has a Kurtosis of 3.

*Distributions having higher kurtosis have flatter tails or more extreme values that phenomenon called 'leptokurtosis'also it is the positive excess kurtosis , and those with lower kurtosis have fatter middles or fewer extreme value that phenomenon called 'platykurtosis' also it is the negative excess kurtosis.

*Distributions having higher Kurtosis have flatter tails or more extreme values that phenomenon called 'leptokurtosis' also it is the positive excess Kurtosis , and those with lower Kurtosis have fatter middles or fewer extreme value that phenomenon called 'Platykurtosis' also it is the negative excess Kurtosis.

*Example for positive kurtosis(leptokurtosis) is Exponential distribution,possion distribution, Laplace distribution.

*Example for positive Kurtosis(leptokurtosis) is Exponential distribution, Poisson distribution, Laplace Distribution.

*Example for negative kurtosis(platykurtosis) is Bernoulli distribution, Uniform distribution.

*Example for Negative Kurtosis(platykurtosis) is Bernoulli distribution, Uniform distribution.

*Kurtosis has no units.

*Kurtosis has no units.

*Kurtosis is defined by:

*Kurtosis is defined by:

*kurtosis={n(n+1)/(n-1)(n-2)(n-3)*summation[(xi-x(bar)/s]^4}-3(n-1)^2/(n-2)(n-3), wher s is the sample standard deviation.x(bar) is the arithmetic mean.

*Kurtosis={n(n+1)/(n-1)(n-2)(n-3)*summation[(xi-x(bar)/s]^4}-3(n-1)^2/(n-2)(n-3), where <math>s</math> is the sample standard deviation.x(bar) is the arithmetic mean.

*In this function argumentsmay be any type like numbers,names,arrays or references that contain numbers.

*In this function arguments may be any type like numbers,names,arrays or references that contain numbers.

*We can give logical values and text references also directly.

*We can give logical values and text references also directly.

*Suppose the referred argument contains any null cells, logical values like that values are not considered.

*Suppose the referred argument contains any null cells, logical values like that values are not considered.

#The referred arguments could not convert

#The referred arguments could not convert

  in to numbers.

  in to numbers.

==Examples==

==Examples==

1.DATA

1.DATA