## The well-known score scale on the SAT, with M= 500 and SD = 100, is what type of score?

### standard score

The well-known score scale on the SAT, with M= 500 and SD = 100, is a standardized score. Specifically, it is a z-score or a standard score. A z-score indicates the number of standard deviations a raw score is from the mean of the distribution. The formula for calculating a z-score is:

z = (x – M) / SD

Where x is the raw score, M is the mean of the distribution, and SD is the standard deviation of the distribution.

In the case of the SAT, a student’s raw score is converted into a z-score using the mean (M) of 500 and standard deviation (SD) of 100. This allows for a consistent and standardized way to compare scores across test administrations and allows for meaningful interpretations of a student’s performance.

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