Warm – Up: Students will take a quiz,

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Presentation transcript:

Warm – Up: Students will take a quiz, January 23, 2013 Warm – Up: Students will take a quiz, recalling information about mean, median, and average. Click on the link below to begin: http://www.transum.org/software/SW/Starter_of_the_day/Students/Averages.asp

January 23, 2013 Today you will take Cornell Notes on IQR. Please Target: Given a set of data students will be able to find the interquartile range Don’t forget to copy the standard.. January 23, 2013 Today you will take Cornell Notes on IQR. Please Follow the power point presentation carefully. To become familiar with IQR please review the following 2 videos Watch Me. http://www.youtube.com/watch?v=ZAE-5TJy9kU http://www.youtube.com/watch?v=DGAXeX42eoE Watch Me. Standard: MCC9-12.S.ID.2 Use statistics Appropriate to the shape of the data distribution to compare center (median, mean) And spread (interquartile range, standard deviation – Advanced Algebra) of two or more different Data sets. Include review of Mean Absolute Deviation as a measure of variations EQ: What does the interquartile range describe about a data set?

G Dear ©2010 – Not to be sold/Free to use Stage 4 Year 9 Data Analysis Note-Taking Time!!! Interquartile Range Press Ctrl-A G Dear ©2010 – Not to be sold/Free to use

Interquartile Range (1/7) (The Range of the middle 50% of scores) IQR = Q3 – Q1 What are Q3 and Q1? Q1 is the lower quartile of 25th percentile. Q3 is the upper quartile of 75th percentile. Example 1 1, 3, 5, 6, 7, 8, 8 Median = 6 End of Slide Q3 = 8 Q1 = 3 IQR = Q3 - Q1 Middle of top half. Middle of lower half. = 8 - 3 = 5 4

Interquartile Range (2/7) Example 2 2, 3, 6, 6, 7, 8. Median = 6 Q3 = 7 Q1 = 3 IQR = Q3 - Q1 Middle of top half. Middle of lower half. = 7 - 3 = 4 Example 3 2, 3, 5, 6, 7, 9, 9, 10. Median = 6.5 Q3 = 9 Q1 = 4 IQR = Q3 - Q1 Middle of top half. Middle of lower half. = 9 - 4 = 5 End of Slide 5

Interquartile Range and Dot Plots (3/7) Median Q3 Q1 1 2 3 4 5 6 7 8 IQR = Q3 – Q1 = 5 – 2 = 3 End of Slide 6

Interquartile Range and Stem-and-Leaf (4/7) 1 2 3 4 5 Stem Leaf 1 2 6 Q1 1 3 3 5 6 Median IQR = Q3 – Q1 4 4 5 7 7 9 9 = 38 – 13 2 3 4 6 8 Q3 5 7 7 9 = 25 5 End of Slide 7

Interquartile Range - Box-and-Whisker (5/7) C D B A A – Upper Extreme B – Lower Extreme C – Median D – Upper Quartile – Q3 E – Lower Quartile – Q1 End of Slide 8

Interquartile Range - Box-and-Whisker (6/7) 2 4 6 8 10 12 14 16 IQR = Q3 – Q1 = 13 – 3 = 10 End of Slide 9

IQR – 5 Number Summary (7/7) Median Q3 Lower Extreme 2 4 6 8 10 12 14 16 Upper Extreme Lower Extreme, Lower Quartile, Median, Upper Quartile, Upper Extreme 1, 3, 8, 13, 16 End of Slide 10

Review Quiz: Please record your total score on the Left side of your notebooks Click on the Link below to start. http://walch.com/rr/CAU4L1BoxPlotQuestions