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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 ...
[6] [7] In 2003, of the 3,615 students competing, 1,024 (28%) scored 10 or more points, and 42 points was sufficient to make the top percentile. At a participating college, any student who wishes to take part in the competition may (limited by the number of spots a school receives); but until 2019 the school's official team consisted of three ...
(For example, a B in a regular class would be a 3.0, but in honors or AP class it would become a B+, or 3.33). Sometimes the 5-based weighing scale is used for AP courses and the 4.6-based scale for honors courses, but often a school will choose one system and apply it universally to all advanced courses.
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In statistics, ranking is the data transformation in which numerical or ordinal values are replaced by their rank when the data are sorted.. For example, if the numerical data 3.4, 5.1, 2.6, 7.3 are observed, the ranks of these data items would be 2, 3, 1 and 4 respectively.
Plus and minus signs are often used to further differentiate marks. For example, "2+" corresponds to the U.S. 'B+'. Half-intervals may also be used, such as "2–3", a grade halfway between 2 and 3. At the university level, only grades 1, 2 and 3 are passing; anything worse than 3 is automatically a failing grade.
The 25th percentile is also known as the first quartile (Q 1), the 50th percentile as the median or second quartile (Q 2), and the 75th percentile as the third quartile (Q 3). For example, the 50th percentile (median) is the score below (or at or below, depending on the definition) which 50% of the scores in the distribution are found.
An answer is marked on either a "0+" or a "10-" mark scheme, depending on whether the answer looks generally complete or not. [5] An answer judged incomplete or unfinished is usually capped at 3 or 4, whereas for an answer judged as complete, marks may be deducted for minor errors or poor reasoning but it is likely to get a score of 7 or more.