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Moments, Skewness and Kurtosis
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Moments, Skewness and Kurtosis
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Moments, Skewness and Kurtosis
The moment about population mean which is expressed in standard units is denoted by
Latin letter beta
Greek letter gamma
Greek letter alpha
Greek letter beta
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rikazzz
Comment
Moments, Skewness and Kurtosis
The kurtosis defines the peakness of the curve in the region which is
around the mode
around the mean
around the median
around the variance
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rikazzz
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Moments, Skewness and Kurtosis
As compared to measures of variation, the measure of skewness is used to understand concentration of
values around mean
upper tail only
lower tail only
median coefficients
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rikazzz
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Moments, Skewness and Kurtosis
In kurtosis, the beta is less than three and median is preferred as central tendency for
leptokurtic distribution
platykurtic distribution
mesokurtic distribution
mega curve distribution
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rikazzz
Comment
Moments, Skewness and Kurtosis
Consider a set of observations whose mean is 14 and the mode of the same set of observations is 12 then the values of skewness around central value are
2
26
1.667
168
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rikazzz
Comment
Moments, Skewness and Kurtosis
The frequency distribution is considered as positively skewed if all the values of distribution moves to
variance tail
upper tail
lower tail
median tail
Author:
rikazzz
Comment
Moments, Skewness and Kurtosis
The moment about mean which is indication of flatness of frequency curve is classified as
third moment
second moment
first moment
fourth moment
Author:
rikazzz
Comment
Moments, Skewness and Kurtosis
The 90th percentile is 60, 50th percentile is 30 and 10th percentile is 40 then the coefficient of skewness is
±30
±2
±8
±4
Author:
rikazzz
Comment
Moments, Skewness and Kurtosis
The median of a moderately skewed distribution is 8, third quartile is 12, first quartile is 8 and inter-quartile range is 4 then relative coefficient of skewness is
±8
±1
±9
±11
Author:
rikazzz
Comment
Moments, Skewness and Kurtosis
In kurtosis, the beta is greater than three and quartile range is preferred for
mesokurtic distribution
mega curve distribution
leptokurtic distribution
platykurtic distribution
Author:
rikazzz
Comment
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