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Statistics

# Statistics - Basic Statistics ENGR 102 Fall 2008 Sections...

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Basic Statistics ENGR 102 Fall 2008 Sections 11 and 12

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Population Population is the overall group of items to be examined. Usually the population is so large that we do not know its exact properties. The population must be carefully defined to fit what we want to examine Each member of the population has one or more values that we want to examine
Properties of a Population The set of values of a population has properties like the center location of the values on the number line and the amount of variation in the values. x x x x x x x x x x x x x x xx x x x x x xx x x x x x x x x x x x xxxx x x x x x x x x x x x x x x x x xx x x x x 1 2 3

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Population Size How many members N make up the population? x x x x x x x x x x x x x x xx x x x x N = 20
Population Mean The average of the values ( x ) over all N members of the population. Calculation of the mean μ 1 N i i x N μ = = x x x x x x x x x x x x x x xx x x x x 1 2 3 4

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μ % Population Median Put the values in numerical order For odd N, the median is the center number. For even N, the median is the average of the two center numbers. The median is an indicator of centrality. x x x x x x x x x x x x x x xx x x x x 1 2 3 4
Population Range Subtract minimum x value from the maximum x value. Range = max(x) - min(x) Range is an indicator of variability in the population.

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