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Average scores from 1967 to the present are also shown on the current SAT scale, as follows. Data for 1967 to 1986 were converted to the re-centered scale by using a formula applied to the original mean and standard deviation. For 1987 to 1995, individual student scores were converted to the re-centered scale and then the mean was recomputed.
Data through 1980 is based on a 10% sample of all test takers; data after 1980 is based on all test takers. Data prior to class year 1985 include all tests taken by all participants and may include students other than seniors (typically, juniors).
2005 distribution of ACT scores. The following chart shows, for each ACT score from 11 to 36, the corresponding ACT percentile and equivalent total SAT score or score range. [56] [failed verification] (Concordance data for ACT scores less than 11 is not yet available for the current version of the SAT.) Note that ACT percentiles are defined as ...
The figure illustrates the percentile rank computation and shows how the 0.5 × F term in the formula ensures that the percentile rank reflects a percentage of scores less than the specified score. For example, for the 10 scores shown in the figure, 60% of them are below a score of 4 (five less than 4 and half of the two equal to 4) and 95% are ...
In statistics, a k-th percentile, also known as percentile score or centile, is a score below which a given percentage k of scores in its frequency distribution falls ("exclusive" definition) or a score at or below which a given percentage falls ("inclusive" definition); i.e. a score in the k-th percentile would be above approximately k% of all scores in its set.
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The folks at Minyanville did a comprehensive calculation and came up with the following chart. The numbers are based on a $50 a square game, with a $625 payout for the 1st and 3rd quarters, a ...
The reason for the choice of the number 21.06 is to bring about the following result: If the scores are normally distributed (i.e. they follow the "bell-shaped curve") then the normal equivalent score is 99 if the percentile rank of the raw score is 99; the normal equivalent score is 50 if the percentile rank of the raw score is 50;