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The Z Score Calculator calculates the provided Mean, raw score and SD. It determines if the mean Value is above or below the mean Data.

Using our Z Score Calculator is easy and without any hassle. Input the values in the required boxes.

How to use our Z Score Calculator ?

Using the AllCalculator.net Z Score Calculator is the easiest.

  • Open the Z Score Calculator.
  • Input the raw score, mean and Standard Deviation in the boxes stated in the Calculator.
  • Now tap on Calculate to calculate the z score of the input you gave to the Calculator.
  • If you need to calculate multiple times, use the reset option.

How does the Z Score Calculate? Does it use the formula?

Z=X-μ/σ

If the Z Score is positive, the raw score will be more than the Mean; similarly, if it's less, the raw score is below the mean Value.

If the raw score is one, then the Standard Deviation is above the Mean. However, if the score is -2, the Standard Deviation is. Below is the Mean for any given data set. Some steps for calculating the z score are 

  • Minus or deduct the Mean of the population of the given raw score. 
  • μ-Denotes the Mean, and x denotes the raw score.
  • Divide the obtained Value by 1 of the Standard Deviation. It is used to determine the Z Score, and it is represented by σ

The Calculator will replace μ and σ with u and v.

Let's understand this with one example.

Example.

Calculate or determine the Z Score for a raw score of 5 and a mean value of 3. The Standard Deviation will be valued at 1. Use our Z -Score Calculator to verify it.

Provided details 

X=5

μ=3 

σ=1 

Now the Calculator will use the Same formula and compute the values using the formula. 

Z=X-μ/σ

5-3/1=2 

Now the Value is two meaning the Standard Deviation is above the Mean.

Conclusion 

Z Score Calculator calculates the Mean and Raw Score values. It can determine if the Value is above or below the Mean.