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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;
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.
A normal distribution is sometimes informally called a bell curve. [8] ... This is equivalent to saying that the standard normal distribution ... scores, and ...
In statistics, a standard normal table, also called the unit normal table or Z table, [1] is a mathematical table for the values of Φ, the cumulative distribution function of the normal distribution.
Diagram showing the cumulative distribution function for the normal distribution with mean (μ) 0 and variance (σ 2) 1. These numerical values "68%, 95%, 99.7%" come from the cumulative distribution function of the normal distribution. The prediction interval for any standard score z corresponds numerically to (1 − (1 − Φ μ,σ 2 (z)) · 2).
Image source: The Motley Fool. Skechers U.s.a. (NYSE: SKX) Q4 2024 Earnings Call Feb 06, 2025, 4:30 p.m. ET. Contents: Prepared Remarks. Questions and Answers. Call ...
As many professors establish the curve to target a course average of a C, [clarification needed] the corresponding grade point average equivalent would be a 2.0 on a standard 4.0 scale employed at most North American universities. [1]
Here's how to put that little white sponge to use.