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introductory statistics
introductory statistics

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Chapter 10 HW Solutions - Greater Latrobe School District

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... It requires at least the interval scale All values are used It is unique It is easy to calculate and allow easy mathematical treatment The sum of the deviations from the mean is 0 The arithmetic mean is the only measure of central tendency where the sum of the deviations of each value from the mean ...
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... The mean, mode and median give important information about the central tendency of data but they do not tell anything about the spread or dispersion about the centre. For example, the two sets of data: ...
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Misuse of statistics

Statistics are supposed to make something easier to understand but when used in a misleading fashion can trick the casual observer into believing something other than what the data shows. That is, a misuse of statistics occurs when a statistical argument asserts a falsehood. In some cases, the misuse may be accidental. In others, it is purposeful and for the gain of the perpetrator. When the statistical reason involved is false or misapplied, this constitutes a statistical fallacy.The false statistics trap can be quite damaging to the quest for knowledge. For example, in medical science, correcting a falsehood may take decades and cost lives.Misuses can be easy to fall into. Professional scientists, even mathematicians and professional statisticians, can be fooled by even some simple methods, even if they are careful to check everything. Scientists have been known to fool themselves with statistics due to lack of knowledge of probability theory and lack of standardization of their tests.
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