Which one of the following is a false description?

In a moderately asymmetrical distribution, the empirical relationship between mean, mode and median suggested by Karl Pearson is Mean - Mode = 3 (Mean - Median)
Coefficient of variation is an absolute measure of dispersion
Measure of skewness indicates the direction and extent of skewness in the distribution of numerical values in the data set
Kurtosis refers to the degree of flatness or peakedness in the region around the mode of a frequency curve

The correct answer is: B. Coefficient of variation is an absolute measure of dispersion.

A coefficient of variation is a relative measure of dispersion, not an absolute measure. It is calculated by dividing the standard deviation by the mean, and is expressed as a percentage. A coefficient of variation of 0% indicates that all the data points are equal, while a coefficient of variation of 100% indicates that the data points are spread out over the entire range of possible values.

A measure of skewness indicates the direction and extent of skewness in the distribution of numerical values in the data set. Skewness is a measure of the asymmetry of a distribution. A distribution is said to be skewed if the mean, median, and mode are not equal. If the mean is greater than the median and mode, the distribution is said to be positively skewed. If the mean is less than the median and mode, the distribution is said to be negatively skewed.

Kurtosis refers to the degree of flatness or peakedness in the region around the mode of a frequency curve. A distribution with a high kurtosis is said to be leptokurtic, while a distribution with a low kurtosis is said to be platykurtic. A distribution with a kurtosis of 3 is said to be mesokurtic.

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