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In probability and statistics, the 97.5th percentile point of the standard normal distribution is a number commonly used for statistical calculations. The approximate value of this number is 1.96 , meaning that 95% of the area under a normal curve lies within approximately 1.96 standard deviations of the mean .
The Triple Nine Society (TNS) is an international high-IQ society for adults whose score on a standardized test demonstrates an IQ at or above the 99.9th percentile of the human population. [ 3 ] [ 4 ] [ 5 ] The society recognizes scores from over 20 intelligence and academic aptitude tests. [ 6 ]
the scaled scores for the best four subjects, 50% of the scaled score for the next best (fifth) subject. The university aggregates (out of 90) were ordered from lowest to highest, and the TER was assigned as a percentage rank (in steps of 0.05, ranging from 0.00 to 99.95) according to the student's position on that list.
For an approximately normal data set, the values within one standard deviation of the mean account for about 68% of the set; while within two standard deviations account for about 95%; and within three standard deviations account for about 99.7%.
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 ]
Standardized test results are commonly reported as a student scoring "in the 80th percentile", for example. This uses an alternative meaning of the word percentile as the interval between (in this case) the 80th and the 81st scalar percentile. [22] This separate meaning of percentile is also used in peer-reviewed scientific research articles. [23]
Specifications such as + and −, half grades, and grades like 6/7 are sometimes used. Note that the grades used in primary school are derived from this scale, with Insufficient meaning "4 or less", and the other grades standing for 5-6, 7-8 and 9-10 respectively.
The second percentile, called the "SAT User Percentile", uses actual scores from a comparison group of recent United States students that took the SAT. For example, for the school year 2019–2020, the SAT User Percentile was based on the test scores of students in the graduating classes of 2018 and 2019 who took the SAT (specifically, the 2016 ...