Understanding, Identifying & Analyzing Box & Whisker Plots
Understanding, Identifying& AnalyzingBox & Whisker PlotsCCSS: 6.SP.4, 8.SP.1VA SOLs: A.10Copyright 2012Jamie Riggs http://missmathdork.blogspot.com/
Box and Whisker PlotsLowerExtremeLowerQuartileMedianThe inter quartile range is themiddle 50% of the box andwhisker plot!UpperQuartileEach section of the box andwhisker plot is ¼ or 25% of thedata!THINK ABOUT IT!How is a Box and Whisker Plot a lot like a One Dollar Bill?Hint:Copyright 2012UpperExtremeJamie Riggs http://missmathdork.blogspot.com/
A box and whisker plot is a unique graph that breaks data into quartiles. Eachquartile, despite how wide it may appear contains the same amount of data.Think of each quartile like a quarter (25 cents). The longer the width of the plotthe further apart the data is in relation to each other. The shorter the width ofthe plot the closer together the data is in relation to each other.Example #1Did the value of the coin change?Did the amount of information in the quartile change?How much is it worth?What percentage of information is being reported?Example #2Did the value of the coin change?Did the amount of information in the quartile change?How much is it worth?What percentage of information is being reported?Copyright 2012Jamie Riggs http://missmathdork.blogspot.com/
KEY:5 key values of a B&W – Blue1st 25% - Purple2nd 25% - Green Stripes3rd 25% - Purple Polka Dots4th 25 % - OrangeIdentifying Box and Whisker PartsInter Quartile Range - Yellow010250 301050442512548 502530170502517030250503915Copyright 20122025303540504550Jamie Riggs http://missmathdork.blogspot.com/
Directions: Color using the key then answer the questions using the data on thenext pageKEY:Identifying Box and Whisker Parts –Hours playing a gameAssuming each set has the same number of people5 key values of a B&W – Blue1st 25% - Purple2nd 25% - Green Stripes3rd 25% - Purple Polka Dots4th 25 % - OrangeData Set AInter Quartile Range - 35404550Data Set B051015202530Data Set C051015202530Data Set D051015202530Data Set E051015Copyright 2012202530Jamie Riggs http://missmathdork.blogspot.com/
Analyzing the Data of Box and Whisker PlotsIn data set A, what percent of data is greater than 10 hours?In data set B, what percent of data is less than 45 hours?In data set C, what percent of data is at least 25 hours?In data set D, what percent of data is at most 30 hours?In data set E, what percent of data is at least 45 hours?Comparing data set B and D, which has the higher percentageof students playing at least 20 hours?Comparing data set C and E, which data set has more peopleplaying at least 25 hours?Comparing data sets A and E, which data set has more peopleplaying at least 15 hours?In which set of data, is the Inter Quartile Range (IQR) thelargest?In which set of data, is the Inter Quartile Range (IQR) thesmallest?In which set of data, is the Median the largest?In which set of data, is the Median the smallest?Copyright 2012Jamie Riggs http://missmathdork.blogspot.com/
Analyzing the Data of Box and Whisker PlotsMath Class Test scoresMrs. H’s Benchmark Scores – 20 students60701009080Miss K’s Benchmark Scores – 24 students7075859096Mrs. M’s Benchmark Scores – 16 students80 83708798Mrs. R’s Benchmark Scores – 20 students6575808599How many students make up 25% of Mrs. H’s class?How many students make up 25% of Miss K’s class?How many students make up 25% of Mrs. M’s class?How many students make up 25% of Mrs. R’s class?Comparing Mrs. H’s and Miss K’s classes:Which class has a greater number of students scoring atleast a 90 on their test?Comparing Mrs. M’s and Mrs. R’s classes:Which class has a greater number of students scoring atmost 80 on their test?Which Class has the highest median score?Who has the most students scoring at least 75 on their test,Miss K or Mrs. R?Copyright 2012Jamie Riggs http://missmathdork.blogspot.com/
KEY A box and whisker plot is a unique graph that breaks data into quartiles.Each quartile, despite how wide it may appear contains the same amount ofdata. Think of each quartile like a quarter (25 cents). The longer the width ofthe plot the further apart the data is in relation to each other. The shorter thewidth of the plot the closer together the data is in relation to each other.Example #1Did the value of the coin change?No,Did the amount of information in the quartile change?No,How much is it worth?it remains 25 centsWhat percentage of information is being reported?it remains 25 percent of the informationExample #2Did the value of the coin change?No,Did the amount of information in the quartile change?No,How much is it worth?it remains 25 centsWhat percentage of information is being reported?it remains 25 percent of the informationCopyright 2012Jamie Riggs http://missmathdork.blogspot.com/
Analyzing the Data of Box and Whisker Plots KEYIn data set A, what percent of data is greater than 10 hours?50%In data set B, what percent of data is less than 45 hours?75%In data set C, what percent of data is at least 25 hours?50%In data set D, what percent of data is at most 30 hours?75%In data set E, what percent of data is at least 45 hours?25%Comparing data set B and D, which has the higher percentageof students playing at least 20 hours?Set BComparing data set C and E, which data set has more peopleplaying at least 25 hours?They have thesame amountComparing data sets A and E, which data set has more peopleplaying at least 15 hours?Set EIn which set of data, is the Inter Quartile Range (IQR) thelargest?Set Ethe IQR is 30In which set of data, is the Inter Quartile Range (IQR) thesmallest?Set AThe IQR is 10In which set of data, is the Median the largest?In which set of data, is the Median the smallest?Copyright 2012Set BThe median is36Set AThe median is10Jamie Riggs http://missmathdork.blogspot.com/
Analyzing the Data of Box and Whisker Plots KEYMath Class Test scoresMrs. H’s Benchmark Scores – 20 students60701009080Miss K’s Benchmark Scores – 24 students7075859096Mrs. M’s Benchmark Scores – 16 students80 83708798Mrs. R’s Benchmark Scores – 20 students65758085How many students make up 25% of Mrs. H’s class?How many students make up 25% of Miss K’s class?How many students make up 25% of Mrs. M’s class?How many students make up 25% of Mrs. R’s class?Comparing Mrs. H’s and Miss K’s classes:Which class has a greater number of students scoringat least a 90 on their test?Comparing Mrs. M’s and Mrs. R’s classes:Which class has a greater number of students scoringat most 80 on their test?Which Class has the highest median score?Who has the most students scoring at least 75 on theirtest, Miss K or Mrs. R?Copyright 2012995645Miss K has 6 whileMrs. H has 5Mrs. M has 4while Mrs. R has10Miss K’s medianis 85Miss K has 18students scoringa 75 or moreMiss R has 15Jamie Riggs http://missmathdork.blogspot.com/
Copyright 2012Jamie Riggs http://missmathdork.blogspot.com/
Copyright 2012Jamie Riggs http://missmathdork.blogspot.com/
Copyright 2012Jamie Riggs http://missmathdork.blogspot.com/
A box and whisker plot is a unique graph that breaks data into quartiles. Each quartile, despite how wide it may appear contains the same amount of data. Think of each quartile like a quarter (25 cents). The longer the width of
How can you use a box-and-whisker plot to describe a data set? Drawing a Box-and-Whisker Plot Work with a partner. The numbers of fi rst cousins of the students in a ninth-grade class are shown. A box-and-whisker plot is one way to represent the data visually. a. Order the da
282 Chapter 7 Data Analysis and Displays 7.2 Lesson Lesson Tutorials Key Vocabulary box-and-whisker plot, p. 282 quartiles, p. 282 Box-and-Whisker Plot A box-and-whisker plot displays a data set along a number line using medians. Quartiles divide the data set into four equal parts. The media
460 Chapter 10 Data Displays Lesson Tutorials 10.4 Lesson Key Vocabulary box-and-whisker plot, p. 460 fi ve-number summary, p. 460 Box-and-Whisker Plot A box-and-whisker plot represents a data set along a number line by using
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A box and whisker plot is a way of showing and comparing distributions. The box represents the middle half of the data (from the 25th to the 75th percentile), . often these give a better idea of the distribution of the data than the minimum and maximum. Box plots can be drawn vertically or horizontally. Box and Whisker charts in Excel
Create a box and whisker plot using this data: 77, 99, 112, 85, 117, 68, 63. Show all 4 steps and work neatly below. The box-and-whisker plots below show a class’ test scores for two tests. What conclusions can you make? - The _ are the same for both tests. - The median for the sec
Algebra Quartiles & Box Plots 10B Box and Whisker Plots are graphs created to display data (very similar to a histogram) at a quick glance. Box and Whisker Plots can also be called Box Plots. There are 5 key pieces. Highest Value: The median of the Given the following box
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