# InvNorm Calculator

## Table of Content

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The invnorm calculator determines the opposite normal probability distribution by sketching their graph. This calculator also evaluates the confidence interval along with their two tails and left-right values based on the probability, mean, and standard deviation.

## What is Invnorm?

Invnorm is the short form of inverse normal distribution. It is defined as;

It is the method of using the known probabilities in order to determine the reciprocal of a random variable and the z critical value in the normal distribution.

It has a bell-shaped curve graph that illustrates the technique of working to find the x-value

## Invnorm Formula:

For a given area below a certain value, the invnorm is used for calculating a known probability to determine the corresponding z-critical value in a normal distribution.

By the below invnorm formula, you can find the inverse of normal distribution.

$$f(x)=\frac{1}{\sqrt{2\pi\sigma^2}}e^{-\displaystyle{\frac{(x-\mu)^2}{2\sigma^2}}}$$

Where:

• μ _ Arithmetic mean of the distribution
• σ _ variance that measures the dispersion
• e _ Exponential functions
• x _ Independent variable

## Steps To Use The Calculator?

The inverse normal distribution calculator works by taking some inputs into account. So, look at these points:

### What To Do?

• Insert the value of the probability
• Enter the mean and standard deviation
• Tap “Calculate”

### What You Get?

• Left, Right, and two tail values
• Standard Deviation with the graph indication

## References:

Wikipedia: Inverse distribution, Relation to original distribution, Examples.

### Alan Walker

Studies mathematics sciences, and Technology. Tech geek and a content writer. Wikipedia addict who wants to know everything. Loves traveling, nature, reading. Math and Technology have done their part, and now it's the time for us to get benefits.