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math 1530

3-3: measures of variation

Range The difference between the Maximum data value and the minimum data value
Round off rule of measures fo variation carry one more decimal place than is present in the original set of data, found only the final answer
Standard deviation measure of cariation of values about the mean, denoted by lowercase s
Variance a measure of variation equal to the square of the standard deviation
Range Rule of thumb based on the principle that for many data sets, the vast majority of a sample values lie within two standard deciations of the mean
Properties of standard deviation -measures the variation among data values, -valuses close together have a small standard deviation, but values with much mroe variation have a larger standard deviation, -has same units of measurement as original data
Properties of standard deviation cont. a vaule is unusual if it differs from the mean by more than 2 standard deciations
Empirical Rule 68-95-99.7 rule, for data sets haveing a sistribution that is approxiimately bell shaped
Chebyshev's Theorem Proportion (or fraction) of any set of data lying within K standard deviations of the mean is always at least 1-1/k^2, where K is any positive number greater than 1.
Created by: crickie11