Question

I have 6 sets of Data. I have used excel to produce the histogram. The histogram shows right skewness of the data. Now I have 6 histogram which are skewed to the right. The data are the duration taken for the execution of sorting and unsorting algorithm used in JAVA.

I need to determine which skewness is stronger in the case of these 6 histogram. How to determine the stronger case of skewness? Is the histogram with more longer tail on the right is more skewed?

Also a formula for skewness!

So many thanks.

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Solution

Extracts from Microsoft Office Support

SKEW

Returns the skewness of a distribution. Skewness characterizes the degree of asymmetry of a distribution around its mean. Positive skewness indicates a distribution with an asymmetric tail extending toward more positive values. Negative skewness indicates a distribution with an asymmetric tail extending toward more negative values.

Syntax

SKEW(number1,number2,...)

Number1, number2 ... are 1 to 30 arguments for which you want to calculate skewness. You can also use a single array or a reference to an array instead of arguments separated by commas.

The equation for skewness is defined as:

enter image description here

x bar will be the mean and s the standard deviation.

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