Yes.
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.
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
In the student score report provided by the College Board, percentiles indicate how a student's score compares to those of other test-takers. For example, if a student is in the 75th percentile, it means they scored better than 75% of students who took the same test. This helps provide context for the student's performance relative to peers, highlighting areas of strength and opportunities for improvement.
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.
It is 0.0606
Z score of 0 is the mean of the distribution.
z = (75 - 85)/5 = -10/5 = -2
11.51% of the distribution.