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While there are many ways to represent data, one of the more common uses is via a five-number summary, containing your least and greatest values, median value, and quartile values. The first and third quartiles (Q1 & Q3) are basically the middle values between your min/max and median, with the median representing the second quartile (because 2/4 = 1/2). Note that the lower and upper halves of your data (arranged in order) to find Q1 and Q3 never include the median. I do use the words maximum and minimum (or "max" and "min") instead of greatest value and least value, so when I write a five-number summary I abbreviate everything with min, Q1, med, Q3, and max. Box-and-whisker plots are a diagram of your five-number summary, with the "box" representing the interquartile range (IQR) as the width from Q1 to Q3, and "whiskers" as line segments from your min to Q1 and your Q3 to max. The median is represented inside the box, and from here we can analyze every 25% of our data, or even our middle 50% within the box. We can determine whether our data is skewed right/left or symmetric, and we can compare two sets of data to each other using a double box-and-whisker plot with their overall spread of data. This problem set is relatively short and only covers this information at surface level, but we do get where we need to scratch that surface and make enough sense of how they are used, even if we don't always fully understand when they should be used. Box-and-whisker plots are a great visual to represent data, especially when it is asymmetrical. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - PDF DOWNLOADS Textbook (7.2): https://smallpdf.com/file#s=52735df5-... - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - TIMESTAMPS (separated by section) (0:00:00) Introduction (0:00:43) Lecture overview (0:14:24) Problem #1-2 (0:17:41) Problem #3-8 (0:20:53) Problem #9-12 (0:37:10) Problem #13-17 (0:56:33) Problem #18 (0:58:57) Problem #19 (0:59:53) Problem #20 (1:02:52) Problem #21 (1:11:14) Problem #22 (1:14:16) Problem #23 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - BIG IDEAS MATH (IM1) PLAYLIST • Big Ideas Math [IM1]