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swaprules's Avatar
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11 May 2009 20:47:05 IST
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Please help ! Measures of Skewness??
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Is measures of skewness important for bitsat.plz help some one.


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swaprules's Avatar

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Joined: 16 Jan 2009
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11 May 2009 21:38:19 IST
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Common ppl

Hasnt anyone studied this?

Mr.Nasty ® Retired from Action.'s Avatar

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11 May 2009 22:03:19 IST
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 Skewness is a measure of symmetry, or more precisely, the lack of symmetry. A distribution, or data set, is symmetric if it looks the same to the left and right of the center point.

 

For univariate data Y1Y2, ..., YN, the formula for skewness is:

 

    skewness = SUM(Y(i) - YBAR)**3/(N-1)*s**3 where the    summation is from 1 to N

 

 

where ybar is the mean, s is the standard deviation, and N is the number of data points. The skewness for a normal distribution is zero, and any symmetric data should have a skewness near zero. Negative values for the skewness indicate data that are skewed left and positive values for the skewness indicate data that are skewed right. By skewed left, we mean that the left tail is long relative to the right tail. Similarly, skewed right means that the right tail is long relative to the left tail. Some measurements have a lower bound and are skewed right. For example, in reliability studies, failure times cannot be negative.


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