PYB110 Study Guide - Final Guide: Xm Satellite Radio, Standard Deviation, Standard Score

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Interpretation of raw scores usually requires some sort of standardisation. Converting a raw score into a standard score (also called a z score) allows us to determine the relative position of a person on a measure. In order to obtain a z score, we need to know the mean and standard deviation of a sample of people who have also completed the measure. Essentially, standardisation enables us to compare two scores on varying tests (for example) and be able to directly compare them. Similarly, it can tell us a person"s standing on a test as compared to others on the same test. A z score is how many standard deviations a score is away from the mean" aka how many. It is a way of transforming scores so that the new score represents the person"s place in the overall distribution. The size of the z score tells us how many standard deviations they are from the mean.