Skewness, Applied Statistics

Assignment Help:

Skewness

Meaning and Definition

 Literal meaning of skewness is lack of symmetry; it is a numerical measure which reveals asymmetry of a statistical series.

According to Paden and Lindquist, a distribution is said to be skewed if it is lacking in symmetry that is if the measure tend to pile up at one end or the other of the range to measure.

In the words of Simpson  & Kafka skewness or asymmetry is the attribute  of frequency distribution  that extends further on one side of the class   with the highest frequency that on the other.

Morris Hum burg   says skewness refers to the asymmetry or lack of symmetry in the shape of a frequency distribution. This characteristic is of particular importance in connection with judging the typicality of certain measured of central tendency.

Similarly croxton and Cowden   define it, when a series is not symmetrical. It is said to be asymmetrical or skewed.

Thus any measure of skewness indicates the difference between the manners in which items are scattered in a particular distribution compared with a normal distribution. There a may be two distributions having the same mean and the same standard deviation still their shapes may be quite different. One may be symmetrical and other may be asymmetrical.

Thus it is clear that the word skewness refers. To lack of symmetry, if a distribution is normal there would be no skewness in it, the curve drawn from the distribution would be symmetrical would be symmetrical .In case of skewness distribution the curve drawn would be tilted either to the left or towards the right.


Related Discussions:- Skewness

BIVARIATE FREQUENCY , MARKS IN LAW :10 11 10 11 11 14 12 12 13 10 MARKS IN ...

MARKS IN LAW :10 11 10 11 11 14 12 12 13 10 MARKS IN STATISTICS :20 21 22 21 23 23 22 21 24 23 MARKS IN LAW:13 12 11 12 10 14 14 12 13 10 MARKS IN STATISTICS:24 23 22 23 22 22 24 2

Graphical calculation for mode, For calculating the mode of the grouped dat...

For calculating the mode of the grouped data graphically, the following procedure is adopted. Draw a histogram of the data; the modal class is the tallest rectangle.

Regression, why we use dummy variable

why we use dummy variable

Define the partial market equilibrium model, Q. The following system of equ...

Q. The following system of equations illustrates the algebraic form of a partial (individual) market equilibrium model, which is a model of price (P) and quantity (Q) determination

Question with R - Bioinformatics, Hi There, I have a question regarding R,...

Hi There, I have a question regarding R, and I am wondering if anyone can help me. Here is a code that I would like to understand: squareFunc g f(x)^2 } return(g) } sin

Measures of dispersion, Other Measures of Dispersion In this section, ...

Other Measures of Dispersion In this section, we look at relatively less used measures of dispersion like fractiles, deciles, percentiles, quartiles, interquartile range and f

A new weight-watching company, A new weight-watching company, Weight Reduce...

A new weight-watching company, Weight Reducers International, advertises that those who join will lose, on the average, 10 pounds the first two weeks with a standard deviation of 2

Probability function, Among the students doing a given course, there are fo...

Among the students doing a given course, there are four boys enrolled in the ordinary version of the course, six girls enrolled in the ordinary version of the course,and six boys e

Latin Square design, what is the the Latin Square design? What is its appli...

what is the the Latin Square design? What is its application in research? please explain this term with very simple but with detailed explanation for effective understanding. I hav

Perform a dimensional analysis for the quantities, Show how the Normal bin ...

Show how the Normal bin width rule can be modi ed if f is skewed or kurtotic. Examine the eff ect of bimodality. Compare your rules to Doane's (1976) extensions of Sturges' rule.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd