Percentiles, on the other hand, provide a different kind of information. = 10), Standard Values (SW score a norm scale used in German speaking countries M = 100, SD = 10), and The Norm Score Calculator also offers the transformation into z-scores ( M = 0, SD = 1), 115 and more is usually referred to as above average, under 85 is below average. Probably the most well known scale is the IQ scale with a mean of 100 and a standard deviation of 15.Ī score of 100 means that the result is completely on average.
They all more or less yield the same information and can directly be transformed into one another. There are a number of different norm scales. its width).Ī normal score is an individual's distance from the population mean quantified in terms of standard deviations. The standard deviation is a measure for the variability within the distribution (i.e. Normal distributions are characterized by their mean M and their standard deviation SD. This means that many people have scores around the arithmetic mean and only few people have scores deviating extremely from the population mean. The conversion of individual test results into normal scores is usually based on the assumption that personal traits or abilities are normally distributed within the population. Normal scores help to compare attributes of individuals to a representative population and to determine if the scores lie within the normal range or if they are exceptional. Statistical Interpretation of Norm Scores
*The Norm Score Calculator uses Chart.js. Please fill in a score into the according text field and press return or simply use the slider:Ĭonfidence Interval around the estimated true score: ** The online Norm Score Calculator simplifies the conversion of different types of norm scores (e.g., IQ-scores, T-scores, Standard Scores, Wechsler Subtest Scales and percentiles) into one another. R package for generating continuous test norms in psychometrics and biometrics and for analyzing the model fit
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