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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;
Comparison of the various grading methods in a normal distribution, including: standard deviations, cumulative percentages, percentile equivalents, z-scores, T-scores. In statistics, the standard score is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being observed or measured.
The relationship between raw questions answered correctly (the "raw score") and scaled score is determined before the test is administered, through a process called equating. [32] This means that the conversion standard is set beforehand, and the distribution of percentiles can vary during the scoring of any particular LSAT.
A scaled score is the result of some transformation(s) applied to the raw score, such as in relative grading. The purpose of scaled scores is to report scores for all examinees on a consistent scale. Suppose that a test has two forms, and one is more difficult than the other. It has been determined by equating that a score of 65% on form 1 is ...
In item response theory, equating[ 2 ] is the process of placing scores from two or more parallel test forms onto a common score scale. The result is that scores from two different test forms can be compared directly, or treated as though they came from the same test form. When the tests are not parallel, the general process is called linking.
For example, if the scale developer observes that raw scores 0-3 comprise 2% of the population, then these raw scores will be converted to a sten score of 1 and a raw score of 4 (and possibly 5, etc.) will be converted to a sten score of 2.
Then, the raw score is converted to a scaled score. As with the other tests, a scaled score of 2100 meets the standard and 2400 is a commended performance. In 2007, the 11th grade "met standard" level was a raw score of 42, 10th was 44, and 9th was 28; 7th "met standard" with 26 points and 4th with 20. [10]
The ACT (/ eɪ siː tiː /; originally an abbreviation of American College Testing) [10] is a standardized test used for college admissions in the United States. It is administered by ACT, a nonprofit organization of the same name. [10] The ACT test covers four academic skill areas: English, mathematics, reading, and scientific reasoning.
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