Display Data on Dot Plots, Histograms, and Box Plots Unit 5 © Curriculum Associates, LLC Copying Is Not Permitted

Practice Lesson 28 Display Data on Dot Plots, Histograms, and Box Plots Unit 5 © Curriculum Associates, LLC Copying is not permitted.

They both practiced for an average of 8.8 hours per week.

Display Data on Dot Plots, Histograms, and Box Plots Challenge

Claire: 12 1 8 10 7 5 88 88 4 10 5 8.8 Gina: 10 1 6 12 5 88 88 4 10 5 8.8 Possible explanation: The sixth graders did a total of 406 sit-ups, or 58 sit-ups on average. The seventh graders did the same number on average, for a total of 522. 522 4 58 5 9, so 9 seventh graders did the sit-ups, as compared to 7 sixth graders. No; Possible explanation: Each data value is different. 58; Possible explanation: The average number of sit-ups that the students did in one minute is 58. Lesson 28 Lesson one minute. They did the same mean number of sit-ups sit-ups of number mean same the did They minute. one a did they but did, graders sixth the as minute one in Explain. possible? this is How sit-ups. 522 of total competition. skating ice an for week each practiced they about situation? the who more? practiced On average, 8 12, 10, 8, 5, 8, 7, 10, 8, 12, Claire: 10 6, 12, 10, 6, 10, 6, 12, 6, 10, Gina: work. your Show Solution: C Explain. a mode? have set data the Does you tell it does What set? data the of mean the is What for sit-ups did also students seventh-grade of A group that hours of number the of track kept Gina and Claire 3 4 5 6 Solve. problems the situation 3–5. Use to solve following for sit-ups did students sixth-grade of A group student each that sit-ups of number The minute. one below. shown is did 58 55, 63, 52, 56, 60, 62, 318 C B M M 318

Key Medium

M 317 317

is the middle middle the is is the number number the is is the average of of average the is Vocabulary Basic mean set. a data in values the median set. a data in number mode appears most oftenthat set. a data in 15 15, 15, 13, 10, 9, 7, 12. The is mean 13. The is median The 15. mode is

Name: Display Data on Dot Plots, Histograms, and Box Plots Lesson 28 Lesson , 30 28 28 , , 28, 28, 28, 30 28, 28, 26 , 28, Possible explanation: The outlier, 14, makes the mean less than the median. The mean and the mode both stay same. median changes to 25 because there are an even number of values, so the new median is mean of 24 and 26, which is 25. Example park a dog at dogs small nine of pounds, in weights, The mean, the Find 28. and 14, 28, 30, 22, 20, 20, 28, 26, are weights. the of mode and median, the by divide and values the add mean, find the To number of values. 26 1 28 1 20 1 201 22 1 30 1 28 1 14 1 28 5 216 216 4 9 5 24 The order. in points data the list median, find the To median. the is middle the in number 20, 20, 22, 14, To find the mode, look for the most common number. common most the for look mode, find the To 28 , 26, 22, 20, 20, 14, and median, mean, ect the aﬀ this does How park. Explain.mode? median? the than less mean the is Why the to comes pounds 24 weighs that dog Another 1 2 Lesson 28 Display Data on Dot Plots, Histograms, Histograms, Plots, Dot on Data Display Plots and Box Mean, Median, and ModePrerequisite: find to the median, mean, how showing the example Study 1–6. problems set. a data solve mode of Then and © Curriculum Associates, LLC Copying is not permitted. B B

128 Practice and Problem Solving Unit 5 Statistics and Probability ©Curriculum Associates, LLC Copying is not permitted. Practice Lesson 28 Display Data on Dot Plots, Histograms, and Box Plots Unit 5 Time (min) Time Waiting in Line Waiting Age (years) Age Walkathon 0–9 10–19 20–29 30–39 0–9 10–19 20–29

8 6 4 2 0

10 f Students f Number o Number 10 Number of People of Number © Curriculum Associates, LLC Copying is not permitted.

-axis and label label and -axis -axis and a scale for the y the for a scale and -axis Display Data on Dot Plots, Histograms, and Box Plots Possible answer: Count the number of data values in each interval. Find that on the vertical axis. Draw a bar that reaches height. No; Possible explanation: There is no bar above 20–29 because there data for that interval in the data set. No; Possible explanation: The number 15 is within the interval 10–19, so you can tell how many students waited for 19 minutes or less but not 15 less. Possible answer is shown. Possible answer: Most students waited in line for 5 to 9 minutes. Lesson 28 Lesson why not. it would what intervals, many as twice had histogram in shown not is that data the of spread the about show made? you that histogram the intervals Choose ages. the of a histogram Make below. for x the both axes. 12, 11, 11, 10, 10, 10, 9, 9, 8, 8, waited Explain. in line minutes? for less than 15 28 25, 25, 25, 20, 20, 16, 15, 14, data. the represent to histogram the Complete 4. problem in histogram the drew you how Describe or why Explain interval? every above a bar there Is students many how tell to histogram the use you Can the If again. page the of top the at set data the at Look shown are a walkathon in people nineteen of ages The 4 5 6 7 8 9 Solve. 4–8. problems solve to below the situation Use that minute, whole nearest the to rounded times, The a new to a ticket buy to line in waited students thirteen below. shown are movie 38 34, 31, 14, 12, 9, 9, 9, 6, 6, 6, 5, 5, 320 C M M M M M 320 319 319 0–9 10–19 Amount Spent ($) Spent Amount School Cafeteria

8 6 4 2 0

10 Number of Students of Number Name:

Display Data on Dot Plots, Histograms, and Box Plots Lesson 28 Lesson Amount Spent ($) Spent Amount School Cafeteria 0–4 5–9 10–14 15–19

8 6 4 2 0

10 Number of Students of Number 2 3 6 4 Students Number of Number 5–9 0–4 15–19 10–14 School Cafeteria Amount Amount Spent ($) No; The table and histogram show data in intervals. Possible answer: You can see more specific details about the data. the number of data values in an interval Example spent, they money much how asked were students Fifteen one cafeteria school the in dollar, whole nearest the to in data the Display below. shown are responses Their week. a histogram. 2, 3, 5, 6, 9, 11, 11, 12, 12, 12, 14, 15, 15, 17, 19 17, 15, 15, 14, 12, 12, 12, 11, 11, 9, 6, 5, 3, 2, a make then and use to want you intervals the choose First, to table the use Then intervals. your using data the of table make a histogram. organized into larger intervals. What advantage might intervals larger than rather smaller using be to there in a histogram? values? Explain.values? Do the table or the histogram show any individual data data individual any show histogram the or table Do the represent? a histogram in a bar of height the does What above from data the shows right the at histogram The 1 2 3 Lesson 28 Histograms a in data display to how showing the example Study 1–9. problems solve Then histogram. © Curriculum Associates, LLC Copying is not permitted. B B M

Practice and Problem Solving Unit 5 Statistics and Probability 129 ©Curriculum Associates, LLC Copying is not permitted. Practice Lesson 28 Display Data on Dot Plots, Histograms, and Box Plots Unit 5 © Curriculum Associates, LLC Copying is not permitted.

6 7 8 109 5 Snowfall (inches) Snowfall Display Data on Dot Plots, Histograms, and Box Plots 0 1 2 3 4 5 lower quartile: 3; upper 6; Possible explanation: Find the middle number of the values less than 5; upper quartile: Find the values greater than 5. Yes; Possible explanation: The IQR is the difference between upper and lower quartiles. The left side of the box is lower quartile and right upper quartile. The IQR is 3. Possible answer: The IQR is better to describe the spread of data because it isn’t affected by the outlier, 9. minimum: 2, maximum: 9 Lesson 28 Lesson data set? data values. both nd ﬁ to how Explain statement IQR.Omar’s Is the represents plot box the IQR? the is What Explain. correct? line. number given the using spread Explain. of this data? What are the minimum and maximum values in the the in values maximum and minimum the are What median? the is What quartile? upper the and quartile lower the are What plot a box draw to 3–5 problems to answers your Use in box rectangular the of length the that says Omar the describe to IQR the or range the use you Would 3 4 5 6 7 8 Solve. this Use situation for problems 3–8. snow of inches of number the reported A meteorologist weeks. nine of each in fell that 9 6, 6, 6, 5, 4, 3, 3, 2, 322 C M M M M M 322 321 321 151413 Maximum Name:

12 Display Data on Dot Plots, Histograms, and Box Plots 11 Lesson 28 Lesson 10 Upper quartile 9 Median Hours Riding Bike Lower quartile 1 2 3 4 5 6 7 8 Possible answer: The line to the left of box is range bottom 25% data. The line to the right of box is range top 25% Minimum 7; Possible answer: It represents the middle 50% of data. Example spent they hours many how asked were students Fifteen in responses, their are Here bikes. their riding week one plot. a box in data the Display greatest. to least from order 14 12, 11, 10, 9, 9, 8, 8, 6, 5, 4, 3, 3, 3, 2, find five to need you plot, a box in data the display To values: the minimum, the maximum, the median, the lower quartile, and the upper quartile. the is maximum The 2. value, least the is minimum The number. middle the is 8, median, The 14. value, greatest values all of number middle the is 3, quartile, lower The middle the is 10, quartile, upper The median. the than less median. the than greater values all of number 0

rectangular box represent? the upper and lower quartiles. What is the IQR for the the for IQR the is What quartiles. lower and upper the represent? it does What data? the of ends the from extend that lines the do What between erence diﬀ the is (IQR) range interquartile The 1 2 Lesson 28 Box Plots a in data display to how showing the example Study 1–8. problems plot. solve Then box © Curriculum Associates, LLC Copying is not permitted. B B

130 Practice and Problem Solving Unit 5 Statistics and Probability ©Curriculum Associates, LLC Copying is not permitted. Practice Lesson 28 Display Data on Dot Plots, Histograms, and Box Plots Unit 5 30 30 Movies Number of Movies Amount Paid ($) Paid Amount Amount Paid ($) Paid Amount Amount Paid ($) Paid Amount Used DVD Sales DVD Used 0–9 10–19 20–29 Used DVD Sales DVD Used Used DVD Sales DVD Used 0–4 5–9 10–14 15–19 20–24 5 10 15 20 25 5 10 15 20 25

8 6 4 2 0

10 Number of Students of Number 8 6 4 2 0

10 0 0 Students of Number © Curriculum Associates, LLC Copying is not permitted. Display Data on Dot Plots, Histograms, and Box Plots No; Possible explanation: She can use the box plot and the dot plot, not histogram. The histogram shows amounts in intervals, not individual amounts. 8 students; dot plot; Possible explanation: The price of each DVD is $5, so 3 DVDs cost $15. The dot plot shows that 2 students spent $15, 4 students spent $20, and 2 $25. 2 1 4 5 8 Possible question: How many students saw between 5 and 14 movies? Possible histogram shown. Lesson 28 Lesson gets a free poster. How many students get free free get students many How poster. a free gets the solve to use you can graph Which posters? that amounts greatest and least the nd ﬁ to plot box Explain. correct? she Is DVDs. on spent students below. shown are responses Their year. problem? Explain. 24 22, 4, 22, 20, 18, 10, 8, 16, 12, 6, 12, 24, 12, 6, 20, plot. box or histogram, plot, a dot in data the Display using answered be easily can that a question Write chose. graph you the DVDs more 3 or purchased who student Every the and histogram the use can she that says Layla last saw they movies many how asked were Students 4 5 6 Solve. the right at the three and graphs below situation The are from the example problem on the page. previous 4–5. problems them solve to Use students 13 that dollars, in money, of amounts The represented and below listed are DVDs used for paid $5. is DVD each of price The graphs. the in 5 20, 10, 20, 20, 15, 10, 25, 10, 20, 5, 15, 25, 324 C M M 324 323 323 30 30 Name:

Display Data on Dot Plots, Histograms, and Box Plots Amount Paid ($) Paid Amount Amount Paid ($) Paid Amount Used DVD Sales DVD Used Used DVD Sales DVD Used 5 10 15 20 25 5 10 15 20 25 Lesson 28 Lesson 0 0 Amount Paid ($) Paid Amount Used DVD Sales DVD Used 0–9 10–19 20–29

8 6 4 2 0

10 Number of Students of Number Possible answer: box plot; explanation: The point inside the rectangular in the box plot represents median. Possible answer: histogram; explanation: The histogram has an interval that includes all data points that are 9 or less. dot plot; Possible explanation: The plot is the only graph that shows number of times that each data point appears in the set. Example students 13 that money of amounts The in below, shown are DVDs used for paid $5. is DVD each of price The dollars. 5 20, 10, 20, 20, 15, 10, 25, 10, 20, 5, 15, 25, plot, a dot in data the display can You histogram, and box plot.

amount that students paid? Explain. Explain.how students many spent less than $10? the most number of students spent? Explain. spent? students of number most the Which graph is easiest to use to ﬁ nd the median median the nd ﬁ to use to easiest is graph Which know to wanted you if use you would graph Which that money of amount the shows graph Which 1 2 3 Lesson 28 Display and Analyze Data and Analyze Display and analyze data to display theStudy how example showing the 3 of Step using plot box and plot, a dot in histogram, 1–6. problems model.solve Then GAISE © Curriculum Associates, LLC Copying is not permitted. B B B

Practice and Problem Solving Unit 5 Statistics and Probability 131 ©Curriculum Associates, LLC Copying is not permitted. Practice Lesson 28 Display Data on Dot Plots, Histograms, and Box Plots Unit 5 Make a list of the What information intervals and theintervals number each in first. interval does a box plot plot does a box show? No No No No 3 u u u u © Curriculum Associates, LLC Copying is not permitted. 20 Yes Yes Yes Yes 3 3 3 u u u u 15 Money Spent ($) Spent Money 10 Entertainment Rainfall Rain (inches) 0–9 10–19 20–29 30–39 . 8 6 4 2 0

10 5 Students of Number or No Display Data on Dot Plots, Histograms, and Box Plots rainfall 6 inches or more? more? or 6 inches rainfall set? data the in rainfall of the was months many how In What is the median rainfall? amount greatest the is What 0 a. one month. A total of 28 students responded. of 28 Aone total month. ve Twenty-ﬁ more. or $20 spent students Nineteen spent students Nine more. or $10 spent students $39. than more spent one No $39. and $30 between data. the represents that a histogram Draw rainfall in one city during each of the last 12 months. 12 last the of each during city one in rainfall question? the answer to be used plot box the Can YesChoose in entertainment on spent they dollar, whole nearest b. c. d. IQR? the is What of inches of number the represents plot box The the to money, much how asked were Students Lesson 28 Lesson 3 4 Solve. 326 C M 326 325 325 Remember that a does eachWhat box plot is a five- is plot box summary. number dot represent? Name: Display Data on Dot Plots, Histograms, and Box Plots 109 109 Lesson 28 Lesson Number of People Hours of Volunteer Work Hours of Volunteer 1 2 3 4 5 6 7 8 There is a cluster of data points around 8, 9, and 10. and 9, 8, around points data of a cluster is There 8. is set data the of mode The 25. is students of number total The 10. is plot dot the of range The He subtracted the least number on line from greatest value instead of subtracting the least data value from greatest value. they did one month. The did onedata. the month. they dot plot shows plot dot the about statements following the of Which apply. that Select all true? is A B C D get he did How answer. Richard chose a correct D as that answer? who live in each of nine houses on a certain street: street: a certain on houses nine of each in live who line number partial the Use 2. and 8, 6, 8, 5, 10, 3, 3, 8, data. the of plot a box make to 0 0 1 2 3 4 5 6 7 8 people of number the represents data following The work volunteer of hours many how recorded Students 1 2 Lesson 28 Display Data on Dot Plots, Data and Box Plots Histograms, Display the problems.Solve © Curriculum Associates, LLC Copying is not permitted. M M