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The third quartile (Q 3) is the 75th percentile where lowest 75% data is below this point. It is known as the upper quartile, as 75% of the data lies below this point. [1] Along with the minimum and maximum of the data (which are also quartiles), the three quartiles described above provide a five-number summary of the data.
Each standard deviation represents a fixed percentile. Thus, rounding to two decimal places, −3σ is the 0.13th percentile, −2σ the 2.28th percentile, −1σ the 15.87th percentile, 0σ the 50th percentile (both the mean and median of the distribution), +1σ the 84.13th percentile, +2σ the 97.72nd percentile, and +3σ the 99
Percentile ranks (PRs or percentiles) compared to Normal curve equivalents (NCEs). In educational measurement, a range of percentile ranks, often appearing on a score report, shows the range within which the test taker's "true" percentile rank probably occurs.
The lower quartile, Q 1, is a number such that integral of the PDF from -∞ to Q 1 equals 0.25, while the upper quartile, Q 3, is such a number that the integral from -∞ to Q 3 equals 0.75; in terms of the CDF, the quartiles can be defined as follows: = (),
A final mark can be any of the discrete number between 1 and 6, or anything between two of them usually rounded up or down to the next half or quarter value (.25, .5, .75), or to one or two digits behind the decimal point. An oversimplified way to calculate a grade is: (acquired points/total points ) × 5 + 1 = grade.
Grading in education is the application of standardized measurements to evaluate different levels of student achievement in a course. Grades can be expressed as letters (usually A to F), as a range (for example, 1 to 6), percentages, or as numbers out of a possible total (often out of 100).
Sometimes the − is used to indicate a better grade if it stands after the grade and a lower grade if it stands before the grade (in which case − is a symbol for "bis", e.g. 'to', rather than 'minus'), for example −5 (4.75) is lower than 5 which is lower than 5− (5.25) in that system. In some regions, decimal grades are used: 5.5, 4.5, etc.
Any lower than 40% is a fail. The University of the Witwatersrand considers an A to be 75% and above. Sources. South African Education Department ...
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