97.5th percentile point

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. Because of the central limit theorem, this number is used in the construction of approximate 95% confidence intervals. Its ubiquity is due to the arbitrary but common convention of using confidence intervals with 95% probability in science and frequentist statistics, though other probabilities (90%, 99%, etc.) are sometimes used. This convention seems particularly common in medical statistics, but is also common in other areas of application, such as earth sciences, social sciences and business research. There is no single accepted name for this number; it is also commonly referred to as the "standard normal deviate", "normal score" or "Z score" for the 97.5 percentile point, the .975 point, or just its approximate value, 1.96. If X has a standard normal distribution, i.e. X ~ N(0,1), and as the normal distribution is symmetric, One notation for this number is z.975. From the probability density function of the standard normal distribution, the exact value of z.975 is determined by (Wikipedia).

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This video defines and provides example of percentiles. The lesson relates quartiles to percentiles http://mathispower4u.com

From playlist Statistics: Describing Data

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From playlist Statistics

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From playlist Statistics

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Visit http://ilectureonline.com for more math and science lectures! We will learn what is a percentile. To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 . Next video in this series can be seen at: https://youtu.be/ImeJFYlaGdw

From playlist STATISTICS CH 2 GRAPHICAL REPRESENTATION OF DATA

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This video explains how to determine the percent and number of values at or below as well as at or above a given percentile. http://mathispower4u.com

From playlist Statistics: Describing Data

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Visit http://ilectureonline.com for more math and science lectures! We will learn how to find the percentile when the data has inconsistent gaps. Method 4 To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 . Next video in this series can be seen at: ht

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From playlist Excel 2007 Statistics: Charts, Functions, Formulas

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