Skewness

Skewness Calculator is a free online tool that displays the skewness in the statistical distributions.

Input

Dataset : 3, 8, 10, 17, 24, 27
Total number of elements = 6

Solution

mean = (3 + 8 + 10 + 17 + 24 + 27)/6
= 89/6
ymean = 14.8333
sd = √(1/6 - 1) x ((3 - 14.8333)2 + ( 8 - 14.8333)2 + ( 10 - 14.8333)2 + ( 17 - 14.8333)2 + ( 24 - 14.8333)2 + ( 27 - 14.8333)2)
= √(1/5) x ((-11.8333)2 + (-6.8333)2 + (-4.8333)2 + (2.1667)2 + (9.1667)2 + (12.1667)2)
= √(0.2) x ((140.027) + (46.694) + (23.3608) + (4.6946) + (84.0284) + (148.0286))
= √(0.2) x 446.8333
= √89.3667
sd = 9.4534

$$Skewness =\frac{\sum_{i=1}^{n}\left(y_{i}-y_{mean}\right)}{(n-1)* {(sd)}^3}$$

$$=\frac{(3 - 14.8333)^3 + ( 8 - 14.8333)^3 + ( 10 - 14.8333)^3 + ( 17 - 14.8333)^3 +\\ ( 24 - 14.8333)^3 + ( 27 - 14.8333)^3} {(6 - 1)^3 * 9.4534}$$ $$=\frac{(-11.8333)^3 + (-6.8333)^3 + (-4.8333)^3 + (2.1667)^3 + (9.1667)^3 + (12.1667)^3}{ (5)^3 * 9.4534}$$ $$=\frac{(-1656.9814) + (-319.074) + (-112.9097) + (10.1718) + (770.263) + (1801.0194)}{ 125 * 9.4534}$$ $$=\frac{492.4891}{1181.675}$$ $$Skewness=0.1166$$

What is kurtosis?

Kurtosis is a factual measure that characterizes how intensely the tails of a circulation contrast from the tails of an ordinary dispersion. As such, kurtosis recognizes whether the tails of given dissemination contain extraordinary qualities.

Alongside skewness, kurtosis is a significant unmistakable measurement of information dispersion. Notwithstanding, the two ideas should not be mistaken for one another. Skewness basically gauges the evenness of the circulation, while kurtosis decides the substantialness of the dissemination tails.

In account, kurtosis is utilized as a proportion of monetary danger. An enormous kurtosis is related to an elevated level of danger for speculation since it shows that there are high probabilities of very huge and minuscule returns. Then again, a little kurtosis signals a moderate degree of danger in light of the fact that the probabilities of outrageous returns are generally low.

What is Excess Kurtosis?

An overabundance kurtosis is a metric that analyzes the kurtosis of a dispersion against the kurtosis of an ordinary appropriation. The kurtosis of typical dissemination rises to 3. In this way, the overabundance of kurtosis is discovered utilizing the recipe underneath:

Overabundance Kurtosis = Kurtosis – 3

here are the types of Kurtosis

The sorts of kurtosis are dictated by the abundance kurtosis of a specific circulation. The abundance kurtosis can take positive or negative qualities, just as qualities near zero.

1. Mesokurtic

Information that follows a mesokurtic dispersion shows an abundance kurtosis of zero or near zero. This implies that if the information follows an ordinary circulation, it follows a mesokurtic appropriation.

2. Leptokurtic

Leptokurtic shows a positive overabundance of kurtosis. The leptokurtic circulation shows hefty tails on one or the other side, demonstrating huge anomalies. In account, leptokurtic dissemination shows that the speculation returns might be inclined to outrageous qualities on one or the other side. Consequently, speculation whose profits follow a leptokurtic circulation is viewed as hazardous.

3. leptokurtic

A platykurtic dispersion shows a negative abundance of kurtosis. The kurtosis uncovers an appropriation with level tails. The level tails demonstrate the little exceptions in a conveyance. In the money set, the platykurtic dissemination of the speculation returns is alluring for speculators on the grounds that there is a little likelihood that the venture would encounter outrageous returns.

How to use this tool Kurtosis (Excess), calculator?

To use this tool you don’t have to worry too much about this. It's really a simple calculator and this tool is really easy to use. It also has a very simple interface. And to use this tool you just have to follow some steps that’s all you have to do.

So to use this tool you just have to follow some very simple steps and that's all you have to do to use this tool.

Now as you can see on your desktop you have this tool that can be really nice and in this tool, you have some boxes where you can fill out the value of your problem.

Please enter your value in the text box and also cross-check it so that you won't get the wrong answer.

After that, you just have to simply click on the calculate button which is below the text box so that you will get the answer.

Tips: you should bookmark this tool so that you can use it later and you don't even have to search for this tool again.

Q. What Is Kurtosis?

A. Kurtosis Is A Factual Measure That Characterizes How Intensely The Tails Of A Circulation Contrast From The Tails Of An Ordinary Dispersion.