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The Gaussian (Normal) distribution is determined by two parameters: its mean and its variance. Each combination of these two parameters results in a different probability density function (pdf). Finding the probability based on raw scores would require values of the pdf relating to that particular combination of mean and variance. The pdf for the Gaussian distribution is not simple to calculate and it would be impossible to tabulate infinitely many of them. Instead, only the pdf for the Z-scores - the Standard Normal pdf - is tabulated. Any raw score is converted to a Z-score and the probability evaluated from the tables.
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∙ 11y ago
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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.
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 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.
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.
What is a Z Score?
A z-score is a means to compare rank from 2 different sets of data by converting the individual scores into a standard z-score. The formula to convert a value, X, to a z-score compute the following: find the difference of X and the mean of the date, then divide the result by the standard deviation of the data.
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.
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.
How do you calculate a raw score from a z score?
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.
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 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.
How do you calculate raw score if z-score is given?
Without more information you cannot.
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.
