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z = (x - μ) / σ is the formula where x is the raw score and z is the z-score. μ and σ are the mean and standard deviations and must be known numbers.

Multiply both sides by σ

zσ = x-μ

Add μ to both sides

μ + zσ = x

x = μ + zσ

You calculate the raw score x , given the z-score, μ and σ by using the above formula.

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Q: How do you calculate a raw score from a z score?
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Related questions

How do you calculate raw score if z-score is given?

Without more information you cannot.


What does it mean if the Z score of a test is equal to 0?

If the Z Score of a test is equal to zero then the raw score of the test is equal to the mean. Z Score = (Raw Score - Mean Score) / Standard Deviation


Is a negative z score always an indicator that the raw score is below the mean?

Yes.z = (raw score - mean)/standard error.Since the standard error is positive, z < 0 => (raw score - mean) < 0 => raw score < mean.


Calculate the z-score for a test score of 87 if the mean test score is 81.1 and standrd deviation is 11.06?

z score = (test score - mean score)/SD z score = (87-81.1)/11.06z score = 5.9/11.06z score = .533You can use a z-score chart to calculate the probability from there.


Does a positive raw score always result in a positive z score?

No.


What is the z score for a raw score of 70?

There is not enough information to answer your question. To determine a Z-Score, the mean and standard deviation are also required.


What is the z score for a given raw score?

Let your raw score be x and M the mean and S the standard deviation. The Z score for your specific x is Z=(x-M)/S So say your score is 80 (out of 100) and the mean is 70 and the standard deviation is 10. Then the z score for your 80 is: (80-70)/10=1 If on the other hand you got a 60, then the z score would be -1.


What the z-score of a person with a raw score of 20?

There is not enough information to answer your question. To determine a Z-Score, the mean and standard deviation is also required.


A raw score of 6 has a z score of what?

A z-score requires the mean and standard deviation (or standard error). There is, therefore, not enough information to answer the question.


What z-score corresponds to this value?

There is insufficient information in the question to answer it. To determine Z score, you need raw score, mean, and standard deviation. Please restate the question.


What is the z score for 0.71?

This question cannot be answered. You need the mean and standard deviation in order to compute a Z score for a Raw score. Please restate the question.


How do you find the raw score when you don't have the z score?

Go back to the basic data, estimate the sample mean and the standard error and use these to estimate the Z-score.