Q: Does percentiles of a raw score differ from the meanof the raw score distribution?

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The mean is 46.

The standard normal distribution or the Gaussian distribution with mean 0 and variance 1.

-1.28

The z Score utility model transforms the distribution of pixel values into a standard normal distribution (z-score value). By this normalization the images of different individuals become more comparable.For more information on z-score, check this article:http://en.wikipedia.org/wiki/Standard_score

If the Z-Score corresponds to the standard deviation, then the distribution is "normal", or Gaussian.

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It is impossible to determine the percentiles if you are given only the sample mean since percentiles are a measure of the spread of the data; the mean gives no information on that.

It is a pretty good score. You will have to check with the state percentiles, but that's an average score. No worrying.

how students compare with other psat test takers

The mean is 46.

The standard normal distribution or the Gaussian distribution with mean 0 and variance 1.

Because as the sample size increases the Student's t-distribution approaches the standard normal.

It approaches a normal distribution.

Z score of 0 is the mean of the distribution.

It is 0.0606

z = (75 - 85)/5 = -10/5 = -2

11.51% of the distribution.

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