Skewness, Kurtosis and Moments

lower tail

If first quartile and third quartile are as 32 and 35 respectively with median of 20 then distribution is skewed
to

0.689

If beta one is 9, beta two is 11 then coefficient of skewness is

Bowley's coefficient of skewness

Method of calculating skewness which is based on positions of quartiles and median in a distribution is called

±1

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

around the mode

Kurtosis defines peakness of curve in region which is

platykurtic distribution

In kurtosis, beta is greater than three and quartile range is preferred for

±3

For Karl Pearson's skewness coefficient value of skewness must be in limits

Kelly's coefficient of skewness

Coefficient of skewness method in which basis of measuring is deciles and percentiles is classified as

2

Consider a set of observations whose mean is 14 and mode of same set of observations is 12 then values of
skewness around central value are

23

Mode of set of 20 observations is 18 and skewness of observations around central value is 5 then calculated
value of arithmetic mean of observations is

mean<mode

Considering mean, mode and skewness of data, value of skewness will be negative if

leptokurtic distribution

In kurtosis, beta is less than three and median is preferred as central tendency for

12

First quartile of data set is 12, third quartile of data set is 18 and median is 9 then absolute skewness of same
data set is

±2

90th percentile is 60, 50th percentile is 30 and 10th percentile is 40 then coefficient of skewness is

alpha three and beta one

Considering alpha and beta in moments, measure of asymmetrical distribution is possible with

6

If median is 18, coefficient of skewness is 6 and mean is 30 then standard deviation of data is

kurtosis

Degree or extent to which frequency of observations in data set are concentrated in given frequency
distribution is classified as

central tendencies measures

Percentile and moment system are two groups of

13

If values of skewness and arithmetic mean is given as 4 and 17 respectively then mode of values is

3

If median is 12, mean is 15 and standard deviation of data is 3 then Karl Pearson's coefficient of skewness is

±2

First deciles of data is 8, ninth deciles is 12 and fifth deciles is 6 then coefficient of skewness is