# log normal distribution

This tool is really great to use, it will help you do your calculation really fast like it can solve your equation in just a second.  You don’t have to use the formula for this you just have to enter the value in it and then you are ready to go.

#### Input

$$\normalsize\ percentile\ x= 1$$ $$\normalsize\ location\ parameter\ a= 0$$ $$\normalsize\ scale parameter\ b \ (b＞0)= 1$$

#### Solution

$$● probability\ density\ f\ =0.3989422804014326779399$$ $$● lower\ cumulative\ P\ =0.5$$ $$mean\ =1.648721270700128146849$$ $$median\ =1$$ $$median\ =0.3678794411714423215955$$

#### formula

$$\normalsize Lognormal\ distribution\ LogN(x,\mu,\sigma)$$ $$(1)\ probability\ density\\ \hspace{30px}f(x,\mu,\sigma)= {\large\frac{1}{\sqrt{2\pi}\sigma x}e^{-\frac{1}{2}\left(\frac{\ln(x)-\mu}{\sigma}\right)^2}}$$ $$(2)\ lower\ cumulative\ distribution\\ \hspace{30px}P(x,\mu,\sigma)={\large\int_{\small 0}^{\small x}}f(t,\mu,\sigma)dt$$ $$(3)\ upper\ cumulative\ distribution\\ \hspace{30px}Q(x,\mu,\sigma)={\large\int_{\small x}^{\small\infty}}f(t,\mu,\sigma)dt$$ $$(4)\hspace{20px} mean:\ e^{\mu+\frac{\sigma^2}{2}}$$ $$\hspace{25px}median:\ e^{\mu}$$ $$\hspace{40px}mode:\ e^{\mu-\sigma^2}\\$$

## How to use this Log-Normal Distribution tool by taskvio.com

This tool is really great to use, it will help you do your calculation really fast like it can solve your equation in just a second.  You don’t have to use the formula for this you just have to enter the value in it and then you are ready to go.

This Log-normal distribution tool is free to use and it is a web-based tool that will help you a lot and this will be a great thing for you.

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## What is log-normal Distribution?

A log-typical appropriation is the factual dissemination of logarithmic qualities from a connected ordinary conveyance. A log-typical Distribution can be meant as an ordinary appropriation and the other way around utilizing related logarithmic computations.

## Getting Normal and Lognormal

An ordinary circulation is a likelihood Distribution of results that is balanced or frames a ringer bend. In an ordinary Distribution, 68% of the outcomes fall inside one standard deviation, and 95% fall inside two standard deviations.

While the vast majority knows about an ordinary Distribution, they may not be as acquainted with the log-typical conveyance. An ordinary circulation can be changed over to a log-typical Distribution utilizing logarithmic arithmetic. That is principally the premise as log-typical conveyances can just come from a regularly circulated set of arbitrary factors.

There can be a couple of purposes behind utilizing log-typical Distribution related to ordinary Distribution. When all is said in done most log-typical circulations are the aftereffect of taking the normal log where the base is equivalent to e=2.718. Nonetheless, the log-typical appropriation can be scaled utilizing an alternate base that influences the state of the lognormal circulation.

Generally speaking the log-typical conveyance plots the log of arbitrary factors from an ordinary Distribution bend. All in all, the log is known as the type to which a base number should be brought up in request to deliver the irregular variable (x) that is found along a typically dispersed bend.

### How to use this Log-Normal Distribution tool by taskvio.com

This tool is really easy to use the tool and this tool is really great and very simple interface and easy to understand to use. As you know this tool is also a free and web-based tool that anyone can use anytime.

Now, let’s see how to use this tool following some simple steps.

As you can see on your screen you have this tool open and so in this tool, we have explained with an example of how you’re going to use this tool.

You have 3 different boxes where you have to enter or text your value.

Percentile x (x≧0): where you have to enter the percentile value of your equation.

Mean μ: here you have to enter the value of the mean.

Standard deviation σ (σ＞0): Here you have to enter the standard deviation value.

Now while you will finish entering all the values in it then you have to simply click on the calculate button which is given below the three text boxes.

You will get the answer out of it. And that’s all you have to do here to use this tool.

### Q. What Is Log-normal Distribution?

A. A Log-typical Appropriation Is The Factual Dissemination Of Logarithmic Qualities From A Connected Ordinary Conveyance.