answersLogoWhite

0

What is the mean and SD of a Z score?

Updated: 4/28/2022
User Avatar

Wiki User

11y ago

Best Answer

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.

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What is the mean and SD of a Z score?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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


How do you normalize percentages?

Normalizing data If by "normalizing data" is meant the process by which data is transformed so that it more closely approximates a normal distribution, one method is to take the logarithm of the individual data points to the base 10. If by "normalizing data" is meant the process by which data is transformed so that it can be compared with other data from a different scale (standardization), one method is to convert the individual data points to Z scores. Z scores have a mean of zero. The individual data points are converted to numbers that are multiples or fractions of one standard deviation (SD). A datum that is equal to the mean gets a Z score of zero. A datum that is 1.5 SD above the mean gets a Z score of +1.5. A datum that is half a SD below the mean gets a Z sore of -0.5. Data Z score 60 -1.39 65 -1.04 70 -0.69 80 0.00 90 0.69 95 1.04 100 1.39 Mean: 80.0 SD: 14.4 The lefthand column is the raw data. The mean is 80, and the SD is 14.4. The Z scores -- the standardized data -- based on that mean and SD are in the righthand column. {| |}


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.