When we increase sample size the standard deviation( error) will be decrease and the nagetive skewness is converting to normality. [email protected]
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Negative skewness means the average (mean) will be less than the median. Positive skewness means the opposite. I'm not sure if any rule holds for the mode.
if coefficient of skewness is zero then distribution is symmetric or zero skewed.
distinguish between dispersion and skewness
Skewness is a measure of the extent to which the probability distribution of a random variable lies more to one side of the mean, as opposed to it being exactly symmetrical.If μ and s are the mean and standard deviation of a random variable X, thenSkew(X) = Expected value of [(X - μ)/s]3
Ah, the Pearson Coefficient of Skewness, fancy term for measuring the asymmetry of a probability distribution. It tells you if your data is skewed to the left, right, or if it's all hunky-dory symmetrical. Just plug in your numbers, crunch some math, and voila, you'll know how wonky your data is. Just remember, skewness doesn't lie, so embrace those skewed curves!