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Mean = 0

SD = 1

The whole point of converting to a Z-score is that you have a Standard Normal distribution ie a N(0, 1) distribution.

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11y ago
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Q: What is the mean and SD of a Z score?
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What is the Z score formula for statistics?

z=x-mean / sd


What is a z-score?

z score is defined as z = (x-mean)/sd, where mean is the mean of the sample (or population) and sd is the standard deviation of the sample or the population. x is the raw score. z-score standardizes the data. The standardized data will have a zero mean and unit variance. It has numerous applications in statistics.


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.


If the mean score on an exam is 88 and the z-score for 74 is -1.5 what is the standard deviation?

Z = (X - M)/SD So SD = (X - M)/Z = (74 - 88)/(-1.5) = 14/1.5 = 9.333....


In a distribution with a SD equals 20 a score that above the mean by 10 points will have a z score equals 1.00 true or false?

False.


How many SD below or above the mean would this child's z-score of -2 be?

2 standard deviation's below the mean


What does a z score of 1.33 mean?

Suppose the random variable, X, that you are studying, has a mean = m, and standard deviation (sd) = s. Then z = 1.33 is equivalent to saying that(x - m)/s = 1.33 or that your observed value is greater than the mean by 1.33 times the sd.


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


What does a negative z-score mean?

z-score of a value=(that value minus the mean)/(standard deviation). So if a value has a negative z-score, then it is below the mean.


How do you find the z score of 12.5?

To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.To find the Z score from the random variable you need the mean and variance of the rv.


Is it true any score with value less than the population mean will have a negative z-score?

Yes. If a score is below the mean, the z score will be negative.


What does the z score of - 1.3 mean?

A z score of -1.3 means that the score is located at the negative 1.3 sigma level with respect to the mean.