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We have calculated measures of center and variation, we have drawn histograms and box & whisker plots, but we have not yet analyzed or compared them, much less chosen when certain measures are preferred above others. This section is built around that. When representing data with a histogram, it may potentially be symmetric in nature or skewed one direction (skewed left if it tails to the left with most data on the right, and vice versa). Symmetric data's measure of center is best represented by the mean, and its measure of variation is best represented by the standard deviation. For skewed data, those best representations are its median and five-number summary. Standard deviations use something called a 68-95-99.7 rule, where one standard deviation left and right from the mean represents 68% of the data, two standard deviations represent 95% of the data, and three represent 99.7% of the data (the last one is ignored in the book). To see this in action, check out example #4c in the lecture portion or #19c and #19d in the problem set. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - PDF DOWNLOADS Textbook (7.3): https://smallpdf.com/file#s=232ba650-... - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - TIMESTAMPS (separated by section) (0:00:00) Introduction (0:01:21) Lecture overview (0:19:21) Problem #1-2 (0:21:43) Problem #3-4 (0:28:37) Problem #5-6 (0:31:54) Problem #7-8 (0:34:07) Problem #9-10 (0:45:49) Problem #11-12 (0:47:23) Problem #13 (0:48:28) Problem #14 (0:51:06) Problem #15-16 (0:59:59) Problem #17-18 (1:02:51) Problem #19-20 (1:17:23) Problem #21 (1:18:39) Problem #22 (1:19:45) Problem #23 (1:30:57) Problem #24 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - BIG IDEAS MATH (IM1) PLAYLIST • Big Ideas Math [IM1]