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THINK “OUTSIDE-THE-BOX” WEDNESDAY! 1.Take out last night’s homework 2.Warm Up is on the next slide. 3.Start thinking what you remember about LINE PLOTS…
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3 44” 2 4 11 20
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Homework Answers: WB 30 1) 2) 12, 15, 17, 18, 20, 20, 26, 31, 31, 32, 32, 45, 46 3) 44, 46, 48, 50, 52, 54, 56, 67, 81, 83, 85, 87 4) 6 75) 7 2 5 7 8 0 1 5 6 6 9 2 4 4 Key 9 2 = 92 key: 9 6 represents 96 3 8 represents 83 ChoiceComedyDramaAction Men103555 Women45505 WinsLosses 6 56 71 7 9 5 38 196 7
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Homework Answers: WB 31 1) mean: 7median: 8 mode: 8 2) mean: 5.5median: 4.2 mode: 4.2 3) mean: 43.7median: 43.5 mode: 42, 43, 44 4) mean: 19.25median: 15 mode: 6 5) mean: $375median: $358 mode: $354 6) 31,638,800 sq. mi.7) 28,557,500 sq. mi. 8) mean: 27,340 ft.median: 27,353 ft.
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Box and Whisker Plots—what are they? Help interpret data and the way data is distributed Show variability in data Picture representation of data Show the median, quartiles (other “special” medians!) Can be drawn vertically or horizontally Segments extending from the box are called “whiskers” Whiskers stop at the highest and lowest values called “extremes” UNLESS there is an outlier! Outliers are represented with a single dot Each whisker & part of the box represents 25% (1/4) of the data
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Box-and-Whisker Plots—learn their parts!
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Mnemonic Device—use the BWP Hand! 1 25% 4 Between each of your fingers!
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Steps to make a BWP 1) Order the data from LEAST to GREATEST 2) Identify the lower and upper EXTREMES 3) Find the median (a.k.a. “Q2”) 4) Find the Q1: median of the lower half of the data Find the Q3: median of the upper half of the data 5) Graph the 5 points you just found ABOVE a # line 6) Connect the points to make it look like the BWP! Let’s go try some together…
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Data: 25, 21, 15, 13, 17, 19, 19, 21 1) Order the data from LEAST to GREATEST 13 15 17 19 19 21 21 25 2) Identify the lower and upper EXTREMES 3) Identify the median 4) Find Q1: (median of the lower half!) 13 15 17 19 19 21 21 25 Find Q3: Median of the upper half!) LE: 13 Q1: 16 Med: 19 Q3: 21 UE: 25
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PLOT THE DATA! LE: 13 Q1: 16 Med: 19 Q3: 21 UE: 25 12 14 16 18 20 22 24 26
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What are the similarities and differences of EVEN vs. ODD amounts of numbers in the data set? EVEN: 2 4 4 7 8 9 9 11 11 13 ▫ Median is the average of the 2 middle numbers! 8 + 9 = 17 17/2 = 8.5 ▫ After that, split data in half and include the numbers you used for the median to begin finding your Q! and Q3 2 4 4 7 8 9 9 11 11 13
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ODD: 2 3 3 4 4 6 8 8 9 10 15 ▫ Circle the Median right away ▫ To find the Q1 and Q3, do NOT include the median. What are the similarities and differences of EVEN vs. ODD amounts of numbers in the data set?
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Online Resources can help you! Let’s input some of our own numbers… http://www.shodor.org/interactivate/activities/BoxPlot/ http://www.brainingcamp.com/resources/math/box- plots/interactive.php http://www.brainingcamp.com/resources/math/box- plots/interactive.php http://illuminations.nctm.org/activitydetail.aspx?id=77
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Class Work: Green Book p. 190-191 (1-12) Handout: WB 32 Homework:
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