The lower extreme is the lowest number in a set of data
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That is the correct conventional definition. However, for the mathematical definition you may have to allow for the fact that the lower extreme may not actually be attained: it may be an asymptotic value. For example, consider the set of numbers 1, 1/2, 1/4, 1/8 and so on. The sequence gets closer to 0 as you keep going but it is never actually equal to 0. The lower extreme of this infinite set is 0, but that is not an element of the set.
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A data display that organizes data values into four parts using the lower extreme,lower quartile,median,upper quartile,and upper extreme.
An example for an Upper Extreme in math is........ Lets say you have 7 numbers, 18, 15, 21, 35, 90, 37, 76 The Upper Extreme is the HIGHEST number of the bunch... So if you WANT you could put them in order first. 15, 18, 21, 35, 37, 76, 90 The Upper Extreme would equal = 90 And The Lower Extreme would equal = 18 Hopefully that answers your question!
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