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In response to your question. I can not give you a single "mathematical concept." An important concept in the descriptive statistics that you mention is that they should provide some understanding to a population which I can not completely know or measure. Therefore I must sample the population and describe it with statistics such as the mean. I will list some necessary conditions for statistics to be representative of a population. In statistical analysis, given any set of numbers, it is possible to calculate numerous statistics such as the median, mean, mode and range. Another common statistic is the standard deviation. In making inferences to the population, the sample size should be adequate, the sample shoud be taken in an unbiased manner, and the sample should be taken from the same population. The population should be stationary in time. It's distribution should not be changing with time. This may be difficult to understand, but I'll give you an example: Let us suppose that we are studying brake failures on cars, so we survey all brake failures from 1950 to 2004, a very long period so we have a large sample. But brakes in 1950 were different than in 2004, because brake failures motivate car companies to improve their design. Our statistics will not be representative of new cars being purchased.

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Q: What math concept does median mean mode and range belong to?
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