PPT - Measures of Skewness

PPT - Measures of Skewness - Business Mathematics and Statistics - B Com

``` Page 1

MEASURES OF  SKEWNESS AND
INTERPRETATION
PGDM@IAMEE                                                                                        www.iamee.in
Page 2

MEASURES OF  SKEWNESS AND
INTERPRETATION
PGDM@IAMEE                                                                                        www.iamee.in
OVERVIEW
1. What is meant by Skewness.
2. What are the different types of Skewness
Distributions.
3. Skewness Distributions in graphical
representation.
4. Calculation of Skewness Coefficient in
different (two types) methods.
PGDM@IAMEE                                                                                        www.iamee.in
Page 3

MEASURES OF  SKEWNESS AND
INTERPRETATION
PGDM@IAMEE                                                                                        www.iamee.in
OVERVIEW
1. What is meant by Skewness.
2. What are the different types of Skewness
Distributions.
3. Skewness Distributions in graphical
representation.
4. Calculation of Skewness Coefficient in
different (two types) methods.
PGDM@IAMEE                                                                                        www.iamee.in
Measures of Skewness
? The statistical technique to indicate the
direction and extent of skewness in the
distribution of numerical values in the data
set.
? A frequency distribution of the set of values
that is not Symmetrical(normal) is called
asymmetrical or skewed.
PGDM@IAMEE                                                                                        www.iamee.in
Page 4

MEASURES OF  SKEWNESS AND
INTERPRETATION
PGDM@IAMEE                                                                                        www.iamee.in
OVERVIEW
1. What is meant by Skewness.
2. What are the different types of Skewness
Distributions.
3. Skewness Distributions in graphical
representation.
4. Calculation of Skewness Coefficient in
different (two types) methods.
PGDM@IAMEE                                                                                        www.iamee.in
Measures of Skewness
? The statistical technique to indicate the
direction and extent of skewness in the
distribution of numerical values in the data
set.
? A frequency distribution of the set of values
that is not Symmetrical(normal) is called
asymmetrical or skewed.
PGDM@IAMEE                                                                                        www.iamee.in
Skewed distributions
There are three types:
? Symmetrical distribution
A.M = Median = Mode
? Positively skewed distribution
A.M > Median > Mode
? Negatively skewed distribution.
A.M < Median < Mode
PGDM@IAMEE                                                                                        www.iamee.in
Page 5

MEASURES OF  SKEWNESS AND
INTERPRETATION
PGDM@IAMEE                                                                                        www.iamee.in
OVERVIEW
1. What is meant by Skewness.
2. What are the different types of Skewness
Distributions.
3. Skewness Distributions in graphical
representation.
4. Calculation of Skewness Coefficient in
different (two types) methods.
PGDM@IAMEE                                                                                        www.iamee.in
Measures of Skewness
? The statistical technique to indicate the
direction and extent of skewness in the
distribution of numerical values in the data
set.
? A frequency distribution of the set of values
that is not Symmetrical(normal) is called
asymmetrical or skewed.
PGDM@IAMEE                                                                                        www.iamee.in
Skewed distributions
There are three types:
? Symmetrical distribution
A.M = Median = Mode
? Positively skewed distribution
A.M > Median > Mode
? Negatively skewed distribution.
A.M < Median < Mode
PGDM@IAMEE                                                                                        www.iamee.in
Skewed distribution Curves
PGDM@IAMEE                                                                                        www.iamee.in
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115 videos|142 docs

FAQs on PPT - Measures of Skewness - Business Mathematics and Statistics - B Com

 1. What is skewness in statistics?
Skewness in statistics refers to the measure of the asymmetry or lack of symmetry in a probability distribution. It indicates the extent to which data deviate from a symmetrical bell-shaped curve. A positive skewness indicates a longer tail on the right side of the distribution, while a negative skewness indicates a longer tail on the left side.
 2. How is skewness calculated?
Skewness can be calculated using different formulas, but one common method is using the Pearson's first coefficient of skewness formula. It involves subtracting the mean from the mode and dividing it by the standard deviation. This formula provides a numerical value that represents the skewness of the distribution.
 3. What does a positive skewness indicate?
A positive skewness indicates that the distribution has a tail that extends towards the right side. In other words, the majority of the data is concentrated on the left side of the distribution, and there are a few extreme values on the right side. This suggests that the distribution is skewed to the right.
 4. What does a negative skewness indicate?
A negative skewness indicates that the distribution has a tail that extends towards the left side. The majority of the data is concentrated on the right side of the distribution, and there are a few extreme values on the left side. This suggests that the distribution is skewed to the left.
 5. How is skewness interpreted in real-world data?
In real-world data, skewness is useful for understanding the shape and distribution of data. If the data is positively skewed, it implies that there are more low values and fewer high values. For example, in income data, positive skewness suggests that there are more people with lower income levels and fewer people with higher income levels. Conversely, negative skewness implies more high values and fewer low values.

115 videos|142 docs

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