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MEASURES OF VARIATION. How dispersed, how spread out is the data?. Study Guide: Variation. Browse pages 88-98 in your textbook One number may not represent an entire set of numbers well so, a cross reference is__________? Name 3 measures of variation
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MEASURES OF VARIATION How dispersed, how spread out is the data?
Study Guide: Variation • Browse pages 88-98 in your textbook • One number may not represent an entire set of numbers well so, a cross reference is__________? • Name 3 measures of variation • Provide advantages and disadvantages of the range • The measurement that helps us see how the data is different from the mean is____________? • Why divide by n-1 sometimes and by N other times? • Obtuse Ollie believes he has discovered an easier method for ex 5 (Big Blossom Greenhouse) E(8-5.5)^2/7= Comment on his new formula • Compare and contrast sample and population formulas for the mean and for standard deviation
Study Guide • A cross reference is the measure of dispersion/variation/fluctuation/spread • The big 3 are: range; variance; and standard deviation • Adv of r= easily computed… hi—lo disadv= doesn’t tell us the distance individuals are from the typical/mean • The standard deviation • N—1 is for the sample standard deviation N is used with population data • Ollie is using the median, not the mean which is required • The formulas for mean are the same regardless of whether we have sample or pop data. The formulas for s and little sigma are nearly the same, except for the denominator n--1
More measures of Spread • Stay tuned for the coefficient of variation CV which allows us to directly compare 2 separate groups/populations! • And stay awake for Chebyshev’s Theorem which works for any data and and constant >1