Manuals/calci/SKEW

SKEW()

Parameters are any numbers to calculate the skewness.
- SKEW() returns the skewness of a distribution

Description

This function gives the Skewness of a distribution.
Skewness is a measure of the degree of asymmetry of a distribution.
A distribution(normal distribution) is symmetry ,it don't have a Skewness.
In a distribution the left tail is more pronounced than the right tail (towards more negative values) then the function is said to have Negative Skewness.
If a distribution is skewed to the right, the tail on the curve's right-hand side is longer than the tail on the left-hand side (towards more positive values), then the function is said to have a positive skewness.
In a Left Skewed Distribution, its $mean<median<mode$
In a Normal Skewed Distribution, its $mean=median=mode$
In a Right Skewed Distribution, its $mode<median<mean$ .
In $SKEW(),Firstparameterisrequired.Fromthesecondparameterareoptional.*Incalcithereisnorestrictionforgivingthenumberofarguments.*Theargumentscanbebeeithernumbersornames,array,constantsorreferencesthatcontainnumbers.*Supposethearraycontainstext,logiclvaluesoremptycells,likethatvaluesarenotconsidered.*TheequationforSkewnessisdefinedby:<math>Skewness={\frac {n}{(n-1)(n-2)}}\sum \left({\frac {x_{i}-{\bar {x}}}{s}}\right)^{3}$

Where, $s$ is the sample standard deviation, ${\bar {x}}$ represents a sample mean.

 1. Any one of the argument is non-numeric. 
 2. If there are fewer than three data points, or the Sample Standard Deviation is zero.

=SKEW(B1:B5) = -0.4369344921493
=SKEW(A1:A6) = -0.21921252920
=SKEW(C1:C4) = -0.715957010
=SKEW(D1:D6) = 0
=SKEW(E1:E6) = 1.16584702768