Measures of Skewness and Kurtosis | Business Mathematics and Statistics - B Com PDF Download

 Page 1


UNIVERSITY INSTITUTE OF SCIENCE 
MASTER OF SCIENCE 
(DATA SCIENCE)
SKEWNESS AND KURTOSIS
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UNIVERSITY INSTITUTE OF SCIENCE 
MASTER OF SCIENCE 
(DATA SCIENCE)
SKEWNESS AND KURTOSIS
• Skewness is a measure of 
symmetry, or more precisely, 
the lack of symmetry. A 
distribution, or data set, is 
symmetric if it looks the same 
to the left and right of the 
center point.
• Kurtosis is a measure of 
whether the data are heavy-
tailed or light-tailed relative to 
a normal distribution.
Page 3


UNIVERSITY INSTITUTE OF SCIENCE 
MASTER OF SCIENCE 
(DATA SCIENCE)
SKEWNESS AND KURTOSIS
• Skewness is a measure of 
symmetry, or more precisely, 
the lack of symmetry. A 
distribution, or data set, is 
symmetric if it looks the same 
to the left and right of the 
center point.
• Kurtosis is a measure of 
whether the data are heavy-
tailed or light-tailed relative to 
a normal distribution.
SKEWNESS
Skewness refers to a distortion or asymmetry that deviates from the symmetrical bell curve,
or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be
skewed. Skewness can be quantified as a representation of the extent to which a given distribution
varies from a normal distribution. A normal distribution has a skew of zero
Page 4


UNIVERSITY INSTITUTE OF SCIENCE 
MASTER OF SCIENCE 
(DATA SCIENCE)
SKEWNESS AND KURTOSIS
• Skewness is a measure of 
symmetry, or more precisely, 
the lack of symmetry. A 
distribution, or data set, is 
symmetric if it looks the same 
to the left and right of the 
center point.
• Kurtosis is a measure of 
whether the data are heavy-
tailed or light-tailed relative to 
a normal distribution.
SKEWNESS
Skewness refers to a distortion or asymmetry that deviates from the symmetrical bell curve,
or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be
skewed. Skewness can be quantified as a representation of the extent to which a given distribution
varies from a normal distribution. A normal distribution has a skew of zero
TYPES OF SKEWNESS
• Positive skewed or right-skewed
• Negative skewed or left-skewed
Page 5


UNIVERSITY INSTITUTE OF SCIENCE 
MASTER OF SCIENCE 
(DATA SCIENCE)
SKEWNESS AND KURTOSIS
• Skewness is a measure of 
symmetry, or more precisely, 
the lack of symmetry. A 
distribution, or data set, is 
symmetric if it looks the same 
to the left and right of the 
center point.
• Kurtosis is a measure of 
whether the data are heavy-
tailed or light-tailed relative to 
a normal distribution.
SKEWNESS
Skewness refers to a distortion or asymmetry that deviates from the symmetrical bell curve,
or normal distribution, in a set of data. If the curve is shifted to the left or to the right, it is said to be
skewed. Skewness can be quantified as a representation of the extent to which a given distribution
varies from a normal distribution. A normal distribution has a skew of zero
TYPES OF SKEWNESS
• Positive skewed or right-skewed
• Negative skewed or left-skewed
POSITIVE SKEWED OR RIGHT-SKEWED
• In which most values are clustered around the left tail 
of the distribution while the right tail of the distribution 
is longer.
• In positively skewed, the mean of the data is greater 
than the median (a large number of data-pushed on the 
right-hand side).
• The mean, median, and mode of the distribution are 
positive rather than negative or zero.