PPT - Bowley’s Coefficient of Skewness,

# PPT - Bowley’s Coefficient of Skewness, - Business Mathematics and Statistics - B Com

``` 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
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
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.
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
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.
SYMMETRIC DISTRIBUTION
?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
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.
SYMMETRIC DISTRIBUTION
?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
```

115 videos|142 docs

## FAQs on PPT - Bowley’s Coefficient of Skewness, - Business Mathematics and Statistics - B Com

 1. What is Bowley’s Coefficient of Skewness?
Ans. Bowley's Coefficient of Skewness is a measure used in statistics to determine the asymmetry or lack of symmetry in a data set. It is based on the median, quartiles, and interquartile range and provides a numerical value that indicates the degree and direction of skewness in the data.
 2. How is Bowley’s Coefficient of Skewness calculated?
Ans. To calculate Bowley's Coefficient of Skewness, first, find the median, lower quartile (Q1), and upper quartile (Q3) of the data set. Then, calculate the interquartile range (IQR) by subtracting Q1 from Q3. Finally, divide the difference between the median and the average of Q1 and Q3 by the IQR and multiply it by 2 to get the coefficient of skewness.
 3. What does a positive Bowley’s Coefficient of Skewness indicate?
Ans. A positive Bowley's Coefficient of Skewness indicates that the data set is right-skewed or positively skewed. This means that the tail of the distribution is longer on the right side, and there are more values concentrated towards the left side of the median.
 4. What does a negative Bowley’s Coefficient of Skewness indicate?
Ans. A negative Bowley's Coefficient of Skewness indicates that the data set is left-skewed or negatively skewed. This means that the tail of the distribution is longer on the left side, and there are more values concentrated towards the right side of the median.
 5. How do you interpret the value of Bowley’s Coefficient of Skewness?
Ans. The value of Bowley's Coefficient of Skewness ranges from -1 to +1. A value of 0 indicates a perfectly symmetrical distribution, while values closer to -1 or +1 indicate increasing levels of skewness. The absolute value of the coefficient represents the degree of skewness, and the sign indicates the direction of skewness (negative for left-skewed and positive for right-skewed).

115 videos|142 docs

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