7.2 Box-and-Whisker Plots - Big Ideas Math
English7.2SpanishBox-and-Whisker PlotsHow can you use a box-and-whisker plot toSSTATESTANDARDSdescribe a population?MA.8.S.3.11ACTIVITY: Drawing a Box-and-Whisker PlotWork with a partner.Numbers of First CousinsThe numbers of first cousins ofeach student in an eighth-gradeclass are shown.A box-and-whisker plot uses a numberline to represent the data visually.1801331161031934524392361213832810514a. Order the data set and write it on a strip of grid paper with 24 equallyspaced boxes.Fold the paper in half to find the medianb. Fold the paper in half again to divide the data into four groups. Becausethere are 24 numbers in the data set, each group should have six Greatestvaluec. Draw a number line that includes the least value and the greatest value inthe data set. Plot the five numbers that you found in part (b).05101520253035404550d. Explain how the box-and-whisker plot shown below represents the data set.LeastvalueFirstQuartile00280Chapter 74MedianThirdQuartile10510Greatestvalue1715Data Analysis and Displays4520253035404550Numberof Cousins
EnglishSpanish2ACTIVITY: Conducting a SurveyConduct a survey in your class. Ask eachstudent to write the number of his or her firstcousins on a piece of paper. Collect the piecesof paper and write the data on the chalkboard.Now, work with a partner to draw abox-and-whisker plot of the data.Two people are first cousins if theyshare at least one grandparent, butdo not share a parent.FirstCousins3ACTIVITY: Reading a Box-and-Whisker PlotWork with a partner. Collier andHendry are neighboring counties inFlorida. However, their age distributionsare quite different.The box-and-whisker plots show the age distributionsof the two counties. Describe the differences in thepopulations. Collier County has fewer people per householdthan Hendry County. Which county is represented by whichbox-and-whisker plot? How did you make your 01001104. IN YOUR OWN WORDS How can you use a box-and-whisker plot todescribe a population?5. Describe some careers in which age distributions (like those shownin Activity 3) are important. Explain why it is important to knowthe age distribution in a county.Use what you learned about box-and-whisker plots to completeExercise 4 on page 284.Section 7.2Box-and-Whisker Plots281
English7.2SpanishLessonLesson TutorialsKey Vocabularybox-and-whisker plot,p. 282quartiles, p. 282Box-and-Whisker PlotA box-and-whisker plot displays a data set along a number lineusing medians. Quartiles divide the data set into four equal parts.The median (second quartile) divides the data set into two halves.The median of the lower half is the first quartile. The median of theupper half is the third quartile.Study TipEXAMPLEmedianfirst quartileA box-and-whisker plotshows the variability ofa data set.whiskerleastvalue1third quartileboxwhiskergreatestvalueMaking a Box-and-Whisker PlotMake a box-and-whisker plot for the ages of the members of the2008 U.S. women’s wheelchair basketball team.24, 30, 30, 22, 25, 22, 18, 25, 28, 30, 25, 27Step 1: Order the data. Find the median and the quartiles.lower halfleastvalueupper halfgreatestvalue18 22 22 24 25 25 25 27 28 30 30 30first quartile, 23third quartile, 29median, 25Step 2: Draw a number line that includes the least and greatestvalues. Graph points above the number line for the leastvalue, greatest value, median, first quartile, and thirdquartile.Step 3: Draw a box using the quartiles. Draw a line through the median.Draw whiskers from the box to the least and greatest values.Age18Exercises 5–7282Chapter 71920212223242526272829301. A basketball player scores 14, 16, 20, 5, 22, 30, 16, and 28 pointsduring a tournament. Make a box-and-whisker plot for thepoints scored by the player.Data Analysis and Displays
EnglishSpanishEXAMPLEInterpreting a Box-and-Whisker Plot2What does the box-and-whisker plot tell you about the data?Study TipA long whisker or boxindicates data is morespread out.48 EXAMPLE35052545658606264666870Height(inches)72The left whisker is longer than the right whisker. So, the data aremore spread out below the first quartile than above the third quartile.The range of the data is 72 50 22 inches.Standardized Test PracticeWhich statement is true about the double box-and-whisker plot?Your classFriend’s class556065707580859095TestScore100A Half of the test scores in your class are between 85 and 100. B 25% of the test scores in your friend’s class are 80 or above. C The medians are the same for both classes. D The test scores in your friend’s class are more spread out than the test scores in your class.The range of the test scores in your class is less than the range in yourfriend’s class. Also, the box for your friend’s class is longer than the boxfor your class. So, the test scores in your friend’s class are more spread outthan the test scores in your class.The correct answer is D .Exercise 102. Compare the surfboard prices of Shop A and Shop B.What are three conclusions you can make from the doublebox-and-whisker plot?Shop AShop B0100200300400500600Section 7.2700800900SurfboardPrice (dollars)Box-and-Whisker Plots283
EnglishSpanishExercises7.2Help with Homework1. VOCABULARY In a box-and-whisker plot, what percent of the data isrepresented by each whisker? the box?2. WRITING Describe how to find the first quartile of a data set.3. NUMBER SENSE What does the length of the box-and-whisker plot tell youabout the data?6) 39 (- 3) 3 (- 9) 4 (- 1)9 (-4. The box-and-whisker plots show the monthly car sales for a year for two salesrepresentatives. Compare and contrast the sales of the two representatives.Sales Rep ASales Rep B04812162024CarsSold28Make a box-and-whisker plot for the data.15. Hours of televisionwatched: 0, 3, 4, 5, 3, 4,6, 56. Lengths (in inches) ofcats: 16, 18, 20, 25, 17,22, 23, 21 8. ERROR ANALYSIS Describe andcorrect the error in making abox-and-whisker plot for thedata.17. Elevations (in feet): 2, 0, 5, 4, 1, 3, 2,0, 2, 3, 6, 15, 9, 4, 6, 7, 3, 4, 7, 8, 3, 5, 8234567899. FISH The lengths (in inches) of the fish caught on a fishing trip are 9, 10, 12,8, 13, 10, 12, 14, 7, 14, 8, and 14. Make a box-and-whisker plot for the data.What is the range of the data?2 10. INCHWORM The table shows the lengthsof 12 inchworms. Make a box-and-whiskerplot for the data. What does the box-and-whiskerplot tell you about the data?Length (cm)284Chapter 72.52.42.32.5Data Analysis and Displays2.72.12.82.6262.1212.6262.9292.02010
EnglishSpanish11. CALORIES The table shows the number of caloriesburned per hour for nine activities.Calories Burned per Houra. Make a box-and-whisker plot for the data.Fishing207Mowing the ke racing944Horseback riding236Dancing266b. Identify the outlier.c. Make another box-and-whisker plot withoutthe outlier.d. WRITING Describe how the outlier affectsthe whiskers, the box, and the quartiles of thebox-and-whisker plot.12. CELL PHONES The double box-and-whisker plot comparesthe battery life (in hours) of two brands of cell phones.a. What is the range of the upper 75% of each brand?b. Which battery has a longer battery life? Explain.Bra ABrandBrand B22.533.544.555.566.57BatteryLife(hours)Create a set of data values whose box-and-whiskerplot has the given characteristic(s).13. The least value, greatest value, quartiles, and median are allequally spaced.14. Both whiskers are the same length as the box.15. The box between the median and the first quartile is three timesas long as the box between the median and the third quartile.16. There is no right whisker.Write an equation of the line that passes through the points.SECTION 3.317. ( 4, 10), (2, 8)18. ( 3, 3), (0, 1)19. ( 4, 1), (4, 1)20. (6, 7), (8, 8)21. MULTIPLE CHOICE You run 10 feet per second. What is this rate inmiles per hour?A 0.11 mi/h B 6.82 mi/h C 10.23 mi/h Section 7.2SECTION 1.5D 14.67 mi/h Box-and-Whisker Plots285
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
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
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
Real name box-and-whisker plots. Draw a box from the lower quartile to the upper quartile. Extend a whisker from the ends of the box to the furthest observation which is no more than 1.5 times inter-quartile range from the box. Mark any observations beyond this as “outliers.”
These educators volunteered to serve on eleven (11) English Languag e Arts grade level writing teams that met in Columbus, Ohio monthly from January to June 2017 to review the model curriculum and make updates to all current sections based on the need for clarity, detail, and relevance to the recently revised learning standards. Specialists also volunteered for resource teams that met .
