In statistics and data analysis, a raw score is an original datum that has not been transformed – for example, the original result obtained by a student on a test (i.e., the number of correctly answered items) as opposed to that score after transformation to a standard score or percentile rank or the like. Statistics is a type of data analysis whose practice includes the planning, summarizing, and interpreting of observations of a system possibly followed by predicting or forecasting of future events based on a mathematical model of the system being observed. ... The words test and testing have many meanings: Testing or experimentation forms part of the scientific method, to verify or falsify an already-formed expectation with an observation In manufacturing, quality control testing consists of a procedure designed to test the functionality of a product under potentially harmful conditions. ... In statistics, a standard score (z) is a dimensionless quantity derived by subtracting the population mean from an individual (raw) score and then dividing the difference by the populaton standard deviation: The quantity z represents the distance between the raw score and the population mean in units of the standard...
Often the conversion must be made to a standard score before the data can be used. For example, an open ended survey question will yield raw data that cannot be used for statistical purposes as it is; however a multiple choice question will yield raw data that is either easy to convert to a standard score, or even can be used as it is.
For example, it is possible for a student to obtain a total rawscore at the 88th percentile on a test and obtain subscores that fall at the 86th percentile for the same norms group.
A normalized percentile score is the percentile equivalent (i.e., the percent of the norms group who received a rawscore lower than the one in question) to a given standard score, if and only if, the scores on that test were normally distributed.
The percentiles reported for the Class or Group Mean are those equivalent to the average rawscore (it is inappropriate to average percentiles, since the percentile of the average score is different from the average of the percentile scores).