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Q: Coefficient of skewness and formula

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if coefficient of skewness is zero then distribution is symmetric or zero skewed.

describe the properties of the standard deviation.

the use of the pearson's of skewness

Pearson's coefficient of skewness is a measure of a distribution's symmetry.

skewness=(mean-mode)/standard deviation

In my 40 years as a professional statistician, I have yet to come across any person with a coefficient skewness and I am not sure that such a thing exists. That being the case, it has no usefulness.

No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.No. Skewness is 0, but kurtosis is -3, not 3.

Karl Pearson simplified the topic of skewness and gave us some formulas to help. The first is the Pearson mode or first skewness coefficient. It is defined by the (mean-median)/standard deviation. So in this case the Pearson mode is: (8-6)/2 =1 There is also the Pearson Median. This is also called second skewness coefficient. It is defined as 3(mean-median)/standard deviation which in this case is 6/2 =3 hence the distribution is positive skewed

A measure of skewness is Pearson's Coefficient of Skew. It is defined as: Pearson's Coefficient = 3(mean - median)/ standard deviation The coefficient is positive when the median is less than the mean and in that case the tail of the distribution is skewed to the right (notionally the positive section of a cartesian frame). When the median is more than the mean, the cofficient is negative and the tail of the distribution is skewed in the left direction i.e. it is longer on the left side than on the right.

Coefficient of friction (u)=F/R

2

1

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