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Z Score in Normal Distribution Calculator

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✖Individual Value in Normal Distribution is the value of an individual observation of the random variable associated with a sample or population following normal distribution.ⓘ Individual Value in Normal Distribution [A]			+10% -10%
✖Mean in Normal Distribution is the average of the individual values in the given statistical data which follows normal distribution.ⓘ Mean in Normal Distribution [μ]			+10% -10%
✖Standard Deviation in Normal Distribution is the square root of expectation of the squared deviation of the given normal distribution following data from its population mean or sample mean.ⓘ Standard Deviation in Normal Distribution [σ]			+10% -10%

✖Z Score in Normal Distribution is the numerical ratio associated with the normal distribution that gives the dependence of an individual value with the mean and standard deviation of the distribution.ⓘ Z Score in Normal Distribution [Z]

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Z Score in Normal Distribution Solution

STEP 0: Pre-Calculation Summary

Formula Used

Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution
Z = (A-μ)/σ
This formula uses 4 Variables

Variables Used

Z Score in Normal Distribution - Z Score in Normal Distribution is the numerical ratio associated with the normal distribution that gives the dependence of an individual value with the mean and standard deviation of the distribution.
Individual Value in Normal Distribution - Individual Value in Normal Distribution is the value of an individual observation of the random variable associated with a sample or population following normal distribution.
Mean in Normal Distribution - Mean in Normal Distribution is the average of the individual values in the given statistical data which follows normal distribution.
Standard Deviation in Normal Distribution - Standard Deviation in Normal Distribution is the square root of expectation of the squared deviation of the given normal distribution following data from its population mean or sample mean.

STEP 1: Convert Input(s) to Base Unit

Individual Value in Normal Distribution: 12 --> No Conversion Required
Mean in Normal Distribution: 8 --> No Conversion Required
Standard Deviation in Normal Distribution: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z = (A-μ)/σ --> (12-8)/2

Evaluating ... ...

Z = 2

STEP 3: Convert Result to Output's Unit

2 --> No Conversion Required

FINAL ANSWER

2 <-- Z Score in Normal Distribution

(Calculation completed in 00.005 seconds)

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< Normal Distribution Calculators

Normal Probability Distribution

LaTeX Go Normal Probability Distribution Function = 1/(Standard Deviation of Normal Distribution*sqrt(2*pi))*e^((-1/2)*((Number of Successes-Mean of Normal Distribution)/Standard Deviation of Normal Distribution)^2)

Z Score in Normal Distribution

LaTeX Go Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution

Z Score in Normal Distribution Formula

LaTeX Go

Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution
Z = (A-μ)/σ

What is a Statistical Proportion and it's importance?

In Statistics, some particular numerical ratios which connects some important variables or parameters associated with the given data or distribution are called statistical proportions. Comparison of multiple data is the main advantage of these proportions. In statistical data analysis various proportions has a wide applications. For example, at the time of comparing two different data, comparing the performance of a company with last year performance, comparing the quality of one set of products to the next set of products, etc if we compare a fixed proportion of each group of data, we can take many useful conclusions.

How to Calculate Z Score in Normal Distribution?

Z Score in Normal Distribution calculator uses Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution to calculate the Z Score in Normal Distribution, Z Score in Normal Distribution formula is defined as the numerical ratio associated with the normal distribution that gives the dependence of an individual value with the mean and standard deviation of the distribution. Z Score in Normal Distribution is denoted by Z symbol.

How to calculate Z Score in Normal Distribution using this online calculator? To use this online calculator for Z Score in Normal Distribution, enter Individual Value in Normal Distribution (A), Mean in Normal Distribution (μ) & Standard Deviation in Normal Distribution (σ) and hit the calculate button. Here is how the Z Score in Normal Distribution calculation can be explained with given input values -> 2 = (12-8)/2.

FAQ

What is Z Score in Normal Distribution?

Z Score in Normal Distribution formula is defined as the numerical ratio associated with the normal distribution that gives the dependence of an individual value with the mean and standard deviation of the distribution and is represented as Z = (A-μ)/σ or Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution. Individual Value in Normal Distribution is the value of an individual observation of the random variable associated with a sample or population following normal distribution, Mean in Normal Distribution is the average of the individual values in the given statistical data which follows normal distribution & Standard Deviation in Normal Distribution is the square root of expectation of the squared deviation of the given normal distribution following data from its population mean or sample mean.

How to calculate Z Score in Normal Distribution?

Z Score in Normal Distribution formula is defined as the numerical ratio associated with the normal distribution that gives the dependence of an individual value with the mean and standard deviation of the distribution is calculated using Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution. To calculate Z Score in Normal Distribution, you need Individual Value in Normal Distribution (A), Mean in Normal Distribution (μ) & Standard Deviation in Normal Distribution (σ). With our tool, you need to enter the respective value for Individual Value in Normal Distribution, Mean in Normal Distribution & Standard Deviation in Normal Distribution 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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