FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Z Score in Normal Distribution Formula

Fx Copy

LaTeX Copy

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. Check FAQs

Z = \frac{A - μ}{σ}

Z - Z Score in Normal Distribution?A - Individual Value in Normal Distribution?μ - Mean in Normal Distribution?σ - Standard Deviation in Normal Distribution?

Z Score in Normal Distribution Example

With values

With units

Only example

Here is how the Z Score in Normal Distribution equation looks like with Values.

Here is how the Z Score in Normal Distribution equation looks like with Units.

Here is how the Z Score in Normal Distribution equation looks like.

2 = \frac{12 - 8}{2}

2 = \frac{12 - 8}{2}

2 = \frac{12 - 8}{2}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Probability and Disribution » Category

Distribution » fx Z Score in Normal Distribution

Z Score in Normal Distribution Solution

Follow our step by step solution on how to calculate Z Score in Normal Distribution?

FIRST Step Consider the formula

Z = \frac{A - μ}{σ}

Next Step Substitute values of Variables

∴

Z = \frac{12 - 8}{2}

Next Step Prepare to Evaluate

∴

Z = \frac{12 - 8}{2}

LAST Step Evaluate

∴

Z = 2

Z Score in Normal Distribution Formula Elements

Variables

Z Score in Normal Distribution

Symbol: Z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Z Score in Normal 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.

Symbol: A

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Individual Value in 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.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Mean in 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.

Symbol: σ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Standard Deviation in Normal Distribution

Other formulas in Normal Distribution category

Go Normal Probability Distribution

P Normal = \frac{1}{σ Normal \cdot \sqrt{2 \cdot π}} \cdot e^{(- \frac{1}{2}) \cdot {(\frac{x - μ Normal}{σ Normal})}^{2}}

How to Evaluate Z Score in Normal Distribution?

Z Score in Normal Distribution evaluator uses Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution to evaluate 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 evaluate Z Score in Normal Distribution using this online evaluator? To use this online evaluator 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.

FAQs on Z Score in Normal Distribution

What is the formula to find Z Score in Normal Distribution?

The formula of Z Score in Normal Distribution is expressed as Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution. Here is an example- 2 = (12-8)/2.

How to calculate Z Score in Normal Distribution?

With Individual Value in Normal Distribution (A), Mean in Normal Distribution (μ) & Standard Deviation in Normal Distribution (σ) we can find Z Score in Normal Distribution using the formula - Z Score in Normal Distribution = (Individual Value in Normal Distribution-Mean in Normal Distribution)/Standard Deviation in Normal Distribution.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Z Score in Normal Distribution Formula

Z Score in Normal Distribution Example

Z Score in Normal Distribution Solution

Z Score in Normal Distribution Formula Elements

Other formulas in Normal Distribution category

How to Evaluate Z Score in Normal Distribution?

FAQs on Z Score in Normal Distribution

Variable Name