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Mean, Median, Mode, Range & Outlier
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Vocabulary Mean Median Mode Range Outlier
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the sum of the data divided by the total number of elements
2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2 Mean (average) the sum of the data divided by the total number of elements = 130 130 ÷ 20 = 6.5
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DATA: 2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2 Median (middle) The middle number in an ordered set of data (or average of middle 2 numbers) 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20 5 + 6 = 11 11 ÷ 2 = 5.5
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Easiest way to see is to put them in order….
DATA: 2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2 Mode (most) The number that occurs the most times in a set of data (could be multiple modes or no mode) Easiest way to see is to put them in order…. 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20
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Range (difference) DATA:
2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2 Range (difference) The difference between the highest and lowest value in a set of data Easiest way to see is to put them in order…. 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20 20 – 2 = 18
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Easiest way to see is to put them in order….
DATA: 2, 5, 7, 8, 5, 9, 3, 4, 8, 5, 6, 9, 10, 20, 6, 5, 4, 8, 4, 2 Outlier A number that is much different than the test of the numbers. May skew the measurements Easiest way to see is to put them in order…. 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 20
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Top demanded TV shows of 2016
Rank Name Network Total in millions 1 HBO 7.2 2 AMC 4.7 3 ABC 3.8 4 3.5 5 CW 3.1 6 CBS 2.9 7 Netflix 2.8 8 2.5 9 Korea 2.4 10 USA 11 12 2.1 13 MTV Game of Thrones The Walking Dead Pretty Little Liars Westworld The Flash Big Bang Theory OA Stranger Things Running Man Suits Arrow Quantico Teen Wolf
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Mean Median Mode Range World’s Richest Athletes 2016
Total in millions 7.2 4.7 3.8 3.5 3.1 2.9 2.8 2.5 2.4 2.1 Add the numbers and divide by the number of elements Mean = 3.2 Median The middle number when the numbers are placed in order Median= 2.8 Mode The number that appears the most Mode= 2.4 Range The difference between the greatest and smallest number Range = 5.1
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Top Social Media Sites Rank Name Date Started Total in millions 1
Feb 2004 1,590 2 Feb 2005 1,000 3 Dec 2011 418 4 Oct 2010 400 5 May 2003 6 March 2006 320 7 Feb 2007 200 8 112 9 Sept 2011 100 10 March 2010 Facebook You Tube Google + Instagram LinkedIn Twitter Tumblr Flickr SnapChat Pintrest
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Mean Median Mode Range World’s Most Popular Sports
Total in millions 1,590 1,000 418 400 320 200 112 100 Add the numbers and divide by the number of elements Mean = 464 Median The middle number when the numbers are placed in order Median= 760 Mode The number that appears the most Mode= 100 and 400 Range The difference between the greatest and smallest number Range = 1490
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These are the scores from a math test:
75, 80, 89, 80, 96, 76, 99, 92, 86, 77, 87, 91, 80, 80, 90 You earned a score of 82. Your mom asks you how you did on the test compared to the rest of the class. What can you tell her?
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Mom, I did better than most
Numerical Order: 75, 76, 77, 80, 80, 80, 80, 86, 87, 89, 90, 91, 92, 96, 99 Your score: 82 Mean: 1278 / 15 = 85.2 Median: 86 Mode: 80 Mom, I did better than most
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