Symmetric and Skew-symmetric:
In the symmetrical distribution, Mean, Median, Mode coincides. Here, the frequencies are symmetrically distributed on both the sides of the some central value.
A distribution which is not symmetrical, is called as skew-symmetrical. In the moderately skew symmetric distribution,
Mean - Mode = 3 (Mean - Median)
In the positively skew-symmetric distribution, the value of mean is maximum and that of the mode is least, and median lies between the 2.
In the negatively skew-symmetric distribution, value of mode is maximum and that of mean is least, and median lies between the 2.
In the negatively skew symmetric distribution, value of mode is maximum and that of mean is least, and median lies between the 2.
Absolute Measures of skewness are
The Relative Measures of Skewness are
(i) Karl Pearson's coefficient of the skewness.
. It lies between -1 and 1.
(ii) Bowley's coefficient of the skewness
. It lies between -1 and 1.
(iii) Kelley's cofficient of the skewness
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