PPT - Bowley’s Coefficient of Skewness, B Com Notes | EduRev

Business Mathematics and Statistics

B Com : PPT - Bowley’s Coefficient of Skewness, B Com Notes | EduRev

 Page 1


Presentation On 
Concept of Skewness: 
Bowley’s Method 
Page 2


Presentation On 
Concept of Skewness: 
Bowley’s Method 
OVERVIEW
? Introduction: Skewness
? Symmetric Distribution
? Two types of skewness
? Measure of Skewness: Bo w ley ’ s Method
? Illustration
? Verification
? Conclusion
Department Of Master of Business Administration
Department Of Master of Business Administration
Page 3


Presentation On 
Concept of Skewness: 
Bowley’s Method 
OVERVIEW
? Introduction: Skewness
? Symmetric Distribution
? Two types of skewness
? Measure of Skewness: Bo w ley ’ s Method
? Illustration
? Verification
? Conclusion
Department Of Master of Business Administration
Department Of Master of Business Administration
INTRODUCTION: SKEWNESS
?Measure of lack of symmetry
?Absence of symmetry
?Extreme values in either side of a distribution
?If the two sides do not coincide, distribution is said to be
asymmetric
?A distribution that is asymmetric with respect to a
vertical axis is said to be skewed.
Department Of Master of Business Administration
Page 4


Presentation On 
Concept of Skewness: 
Bowley’s Method 
OVERVIEW
? Introduction: Skewness
? Symmetric Distribution
? Two types of skewness
? Measure of Skewness: Bo w ley ’ s Method
? Illustration
? Verification
? Conclusion
Department Of Master of Business Administration
Department Of Master of Business Administration
INTRODUCTION: SKEWNESS
?Measure of lack of symmetry
?Absence of symmetry
?Extreme values in either side of a distribution
?If the two sides do not coincide, distribution is said to be
asymmetric
?A distribution that is asymmetric with respect to a
vertical axis is said to be skewed.
Department Of Master of Business Administration
SYMMETRIC DISTRIBUTION
Department Of Master of Business Administration
?A distribution is symmetric if it can be folded along the 
vertical axis so that the two side coincide
?If the distribution is symmetric, the mean, the median, and 
the mode are equal and are located at the same position along 
the horizontal axis
FIGURE 1a.  Example of a Symmetric 
Distribution
0
5
10
15
20
25
1 2 3 4 5 6 7 8 9
 mean = median = mode
No. of Provinces
Page 5


Presentation On 
Concept of Skewness: 
Bowley’s Method 
OVERVIEW
? Introduction: Skewness
? Symmetric Distribution
? Two types of skewness
? Measure of Skewness: Bo w ley ’ s Method
? Illustration
? Verification
? Conclusion
Department Of Master of Business Administration
Department Of Master of Business Administration
INTRODUCTION: SKEWNESS
?Measure of lack of symmetry
?Absence of symmetry
?Extreme values in either side of a distribution
?If the two sides do not coincide, distribution is said to be
asymmetric
?A distribution that is asymmetric with respect to a
vertical axis is said to be skewed.
Department Of Master of Business Administration
SYMMETRIC DISTRIBUTION
Department Of Master of Business Administration
?A distribution is symmetric if it can be folded along the 
vertical axis so that the two side coincide
?If the distribution is symmetric, the mean, the median, and 
the mode are equal and are located at the same position along 
the horizontal axis
FIGURE 1a.  Example of a Symmetric 
Distribution
0
5
10
15
20
25
1 2 3 4 5 6 7 8 9
 mean = median = mode
No. of Provinces
TWO TYPES OF SKEWNESS
Positively Skewed or Skewed to the Right 
Distribution
? Distribution tapers more to the right than to the 
left
? Has a longer tail to the right compared to a much 
shorter left tail
? Values are more concentrated below than above the 
mean
Department Of Master of Business Administration
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