Box-and-Whisker Plots We are learning tocreate and analyze Box-and-Whisker plots. 02/24/20 Box-and-Whisker Plot Vocabulary Median The middle number of a set of data. Upper Quartile The median of the data values that are greater than the median of the total data set. Lower Quartile The median of the data values that are less than the median of the total data set. Upper/Lower Extreme The highest and lowest numbers in a set of data. Box-and-Whisker Plot Practice Make Makeaabox-and-whisker box-and-whiskerplot plotusing usingthe thefollowing followingset setofofdata: data: 1,1,6,6,10, 4, 2, 8, 15, 6, 3 10, 4, 2, 8, 15, 6, 3 Step Step#1: #1: Put Putthe
thenumbers numbersininorder orderfrom fromleast leasttotogreatest: greatest: 1,1,2,2,3,3,4,4,6,6,6,6,8,8,10, 15 10, 15 Step Step#2: #2: Create Createaanumber numberlinethat linethatextends extendsbeyond beyondthe theupper/lower upper/lowerextremes. extremes. Step Step#3: #3: Find Findthe theMediandraw Mediandrawaaline lineabove abovethe themedian medianon onthe thenumber numberline. line. Step Step#4: #4: Find Findthe
theUpper UpperQuartiledraw Quartiledrawaaline lineabove abovethe theupper upperquartile quartile. . Step Step#5: #5: Find Findthe theLower LowerQuartiledraw Quartiledrawaaline lineabove abovethe thelower lowerquartile quartile. . Step Step#6: #6: Create Createaabox box(a (arectangle) rectangle)above abovethe thenumber numberline linewith withthe theupper upperand andlower lower quartiles quartiles as
astwo twoofof the thesides. sides. Step Step#7: #7: Create Createwhiskers whiskers(straight (straightlines) lines)that thatextend extendfrom fromthe thebox boxtotothe theupper upperand andlower lower extremes. extremes. Box-and-Whisker Plot Practice There Thereare are12 12people peopleare areininaaHabanera HabaneraPepper Peppereating eatingcontest contestwho whoate atethe the
following followingamount amountofofpeppers: peppers: 4,4,4,4,4,4,9,9,15, 15,2, 2,5,5,0, 0,10, 10,12, 12,1,1,18 18 Put Putthe thenumbers numbersininorder orderfrom fromleast leastto togreatest: greatest: 0,0, 1,1, 2, 2, 4, 4, 4,4, 4,4, 5,5, 9, 9, 10, 10, 12, 12, 15, 15, 18 18 BELOW THE MEDIAN (4.5) ABOVE THE MEDIAN (4.5) Discussion Question: Why are all of the Boxes and Whiskers different sizes?
Analyzing a Box-and-Whisker Plot _____% 25% _____% 25% 50% _____% 25% 50% _____% 25% Box-and-Whisker Plot Reflection Question Nate believes that the reason that the boxes and whiskers are not always the same size is because there are more numbers in some of the boxes than others. Is he correct? Explain in complete sentences. How to find the: Inter-Quartile Range Inter-Quartile Range the difference between the upper and lower quartile of a set of data. Inter-Quartile Range = Upper Quartile Lower Quartile Show where you could find the inter-quartile range on the box-and-whisker plot below: INTER-QUARTILE RANGE Colby graphed some data as shown in this box-and-whisker plot.
Which statement is true about Colbys data? A. B. C. D. 1 The range of the data is 25. One-half of the data is below 65. The median of the data is 60. Three-fourths of the data is below 90. 2 3 4 5 6 7 8 9 10 11 12 13
14 0 15 0 16 17 0 18 0 Which of the following is not true about the box-and-whisker plot shown below? A. B. C. D. 1 The inter-quartile range is 8 The upper quartile is -2. The median of the data is 1. The lower extreme is -9. 2 3 4
5 6 7 8 9 10 11 12 0 13 14 15 0 16 17 0 18 0