Standard Normal Variation Calculator

✖Normal Variate is the point along the shaded curve whose probability we want to find using the standard normal variation.ⓘ Normal Variate [T_z]			+10% -10%
✖The Expected Value is the mean of the curve of the standard normal variation.ⓘ Expected Value [T_e]			+10% -10%
✖The Standard Deviation is a measure of how spread out numbers are.ⓘ Standard Deviation [σ]			+10% -10%

✖A Standard Normal Variation is a normal variate with mean µ=0 and standard deviation σ=1.ⓘ Standard Normal Variation [Z]

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Standard Normal Variation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation
Z = (T_z-T_e)/σ
This formula uses 4 Variables

Variables Used

Standard Normal Variation - A Standard Normal Variation is a normal variate with mean µ=0 and standard deviation σ=1.
Normal Variate - Normal Variate is the point along the shaded curve whose probability we want to find using the standard normal variation.
Expected Value - The Expected Value is the mean of the curve of the standard normal variation.
Standard Deviation - (Measured in Second) - The Standard Deviation is a measure of how spread out numbers are.

STEP 1: Convert Input(s) to Base Unit

Normal Variate: 170 --> No Conversion Required
Expected Value: 160 --> No Conversion Required
Standard Deviation: 0.166667 Day --> 14400.0288 Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = (T_z-T_e)/σ --> (170-160)/14400.0288

Evaluating ... ...

Z = 0.000694443055558333

STEP 3: Convert Result to Output's Unit

0.000694443055558333 --> No Conversion Required

FINAL ANSWER

0.000694443055558333 ≈ 0.000694 <-- Standard Normal Variation

(Calculation completed in 00.004 seconds)

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Credits

Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

Suman Ray Pramanik has created this Calculator and 50+ more calculators!

Verified by Akshada Kulkarni

National Institute of Information Technology (NIIT), Neemrana

Akshada Kulkarni has verified this Calculator and 900+ more calculators!

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Standard Normal Variation Formula

LaTeX Go

Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation
Z = (T_z-T_e)/σ

What is Standard Normal Variation?

A standard normal variate is a normal variate with mean µ=0 and standard deviation σ = 1. The Standard Normal Variate can be used to find the probability regarding X. Where collections of such random variables are used, there is often an associated assumption that members of such collections are statistically independent. Standard normal variables play a major role in theoretical statistics.

How to Calculate Standard Normal Variation?

Standard Normal Variation calculator uses Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation to calculate the Standard Normal Variation, A Standard normal variation is a normal variate with mean µ=0 and standard deviation σ =1. The variate takes the value between 0 and z. Standard Normal Variation is denoted by Z symbol.

How to calculate Standard Normal Variation using this online calculator? To use this online calculator for Standard Normal Variation, enter Normal Variate (T_z), Expected Value (T_e) & Standard Deviation (σ) and hit the calculate button. Here is how the Standard Normal Variation calculation can be explained with given input values -> 0.000694 = (170-160)/14400.0288.

FAQ

What is Standard Normal Variation?

A Standard normal variation is a normal variate with mean µ=0 and standard deviation σ =1. The variate takes the value between 0 and z and is represented as Z = (T_z-T_e)/σ or Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation. Normal Variate is the point along the shaded curve whose probability we want to find using the standard normal variation, The Expected Value is the mean of the curve of the standard normal variation & The Standard Deviation is a measure of how spread out numbers are.

How to calculate Standard Normal Variation?

A Standard normal variation is a normal variate with mean µ=0 and standard deviation σ =1. The variate takes the value between 0 and z is calculated using Standard Normal Variation = (Normal Variate-Expected Value)/Standard Deviation. To calculate Standard Normal Variation, you need Normal Variate (T_z), Expected Value (T_e) & Standard Deviation (σ). With our tool, you need to enter the respective value for Normal Variate, Expected Value & Standard Deviation and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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