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
skewness
It is a measure of the spread of the variable. Also, in conjunction with the median, it gives a measure of the skewness.
the use of the pearson's of skewness
if coefficient of skewness is zero then distribution is symmetric or zero skewed.
When the data are skewed to the right the measure of skewness will be positive.
skewness=(mean-mode)/standard deviation
The word skewness means the measure of a random variable, which can be positive, negative or undefined. Quite often you may hear that someone has "skewed the numbers".
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
skewness
The skewness of a random variable X is the third standardised moment of the distribution. If the mean of the distribution is m and the standard deviation is s, then the skewness, g1 = E[{(X - m)/s}3] where E is the expected value. Skewness is a measure of the degree to which data tend to be on one side of the mean or the other. A skewness of zero indicates symmetry. Positive skewness indicates there are more values that are below the mean but the the ones that are above the mean, although fewer, are substantially bigger. Negative skewness is defined analogously.
It is a measure of the spread of the variable. Also, in conjunction with the median, it gives a measure of the skewness.
the use of the pearson's of skewness
It is a descriptive statistical measure used to measure the shape of the curve drawn from the frequency distribution or to measure the direction of variation. It is a measure of how far positively skewed (below the mean) or negatively skewed (above the mean) the majority (that's where the mode comes in) of the data lies. Useful when conducting a study using histograms. (mean - mode) / standard deviation. or [3(Mean-Median)]/Standard deviation
if coefficient of skewness is zero then distribution is symmetric or zero skewed.
distinguish between dispersion and skewness
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.