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The highest score obtainable by direct look-up from the standard scoring tables (based on norms from the 1930s) was IQ 171 at various chronological ages from three years six months (with a test raw score "mental age" of six years and two months) up to age six years and three months (with a test raw score "mental age" of ten years and three ...
Percentile ranks are not on an equal-interval scale; that is, the difference between any two scores is not the same as between any other two scores whose difference in percentile ranks is the same. For example, 50 − 25 = 25 is not the same distance as 60 − 35 = 25 because of the bell-curve shape of the distribution. Some percentile ranks ...
A related quantity is the percentile rank of a score, expressed in percent, which represents the fraction of scores in its distribution that are less than it, an exclusive definition. Percentile scores and percentile ranks are often used in the reporting of test scores from norm-referenced tests, but, as just noted, they are not the same. For ...
Most IQ tests are designed to yield a mean score of 100 with a standard deviation of 15; the 98th-percentile score under these conditions is 130.8, assuming a normal distribution. [14] However, American Mensa does not provide a score comparable to scores on other tests; the test serves only to qualify a person for membership. [15]
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 ...
An intelligence quotient (IQ) is a total score derived from a set of standardized tests or subtests designed to assess human intelligence. [1] Originally, IQ was a score obtained by dividing a person's mental age score, obtained by administering an intelligence test, by the person's chronological age, both expressed in terms of years and months.
Data for 1985 and on are for seniors who graduated in the year shown and had taken the ACT in their junior or senior years. Data for 2013 and on includes extended-time test takers. Possible scores on each part of the ACT range from 1 to 36.
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;
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