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STANDARD SCOREPERCENTILE RANKDESCRIPTOR 91-109 27-73 Average 85-90 16-26 Low Average 70-84 2-15 Below Average
The standard normal distribution, also called the z-distribution, is a special normal distribution where the mean is 0 and the standard deviation is 1. Any normal distribution can be standardized by converting its values into z scores. Z scores tell you how many standard deviations from the mean each value lies.
Test norms describe the characteristics or behaviors that are typical or common within a specific population. In other words, test norms compare a persons answers to the answers of other test-takers in the same group. For example, the average IQ when using a standardized intelligence test is about 100.
Standard scores indicate raw scores converted into a common scale but have no single formula in most cases. For example, when test scores are compared to a norm group, an IQ score of 100 represents average performance, which reflects average performance.
Almost always, a test score must be interpreted as indicating the subjects position relative to others in some group. Norms provide a basis for comparing the individual with a group. Numerical values called centiles (or percentiles) serve as the basis for one widely applicable system of norms.
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The standard score counts the number of deviations between a raw score and the mean and is a relative measure of the raw values position within a data set. A percentile score is another measure of relative position, which reports the value that is higher than a given percentage of the data.
Definition. A score that is derived from an individuals raw score within a distribution of scores. The standard score describes the difference of the raw score from a sample mean, expressed in standard deviations. Standard scores preserve the absolute differences between scores.

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