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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.

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Q: How skewness help in determining relation between different measures of central tendency?
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What is a number that helps describe all of the data in a data set?

There is no single number. There are several different measures of central tendency - different ones are better in different circumstances. Then there are several measures of spread or dispersion, skewness and so on. All of these are characteristics of the data and they cannot all be summarised by a single number.


The use of Pearson Coefficient of Skewness?

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If coefficient of skewness equals 0 then what would you say about the skewness of the distribution?

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What is the difference between Dispersion and Skewness?

distinguish between dispersion and skewness


What is the values of the skewdness and kurtosis coefficient for the normal distribution 0 and 3 respectively?

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Would you consider two data sets similar or different if they have the same mean median and range but one is positively skewed and other negatively skewed?

If the skewness is different, then the data sets are different.Incidentally, there is one [largely obsolete] definition of skewness which is in terms of the mean and median. Under that definition, it would be impossible for two data sets to have equal means and equal medians but opposite skewness.


What is Pearson's first rule of the measure of coefficient of skewness?

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When the data are skewed to the right the measure of Skewness will be?

When the data are skewed to the right the measure of skewness will be positive.


Can you compare and contrast the skewness and normal curve?

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Why are the measures of dispersion necessary to describe a set of data?

Sets of data have many characteristics. The central location (mean, median) is one measure. But you can have different data sets with the same mean. So a measure of dispersion is used to determine whether there is a little or a lot of variability within the set. Sometimes it is necessary to look at higher order measures like the skewness, kurtosis.


How do you calculate skewness?

Skewness is measured as the third standardised moment of the random variable. Skewness is the expected value of {[X - E(X)]/sd(X)}3 where sd(X) = sqrt(Variance of X)