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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;
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 ...
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.
Percentile ranks are commonly used to clarify the interpretation of scores on standardized tests. For the test theory, the percentile rank of a raw score is interpreted as the percentage of examinees in the norm group who scored below the score of interest. [3] [4]
The formula for calculating the raw score of the Dale–Chall readability score (1948) is given below: + ()If the percentage of difficult words is above 5%, then add 3.6365 to the raw score to get the adjusted score, otherwise the adjusted score is equal to the raw score.
The scaled score is an integer between 20 and around 350. The scaled score is then used to determine the composite score, which varies from year to year, an integer between 40 and around 700. [16] It is used to determine a student's standing. The scaled score is not proportional to the raw scores. [17]
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All three sections of the test must be passed in order to pass the CBEST. Raw scores can range from 1–50, which are then converted to scaled scores ranging from 20–80. The passing scaled score on each section of the test is 41, and a minimum total score of 123 for all three sections must be achieved to pass. [5]