1. Page 190 #1-6 ANSWERS

2. Pre-Algebra 4-5 Displaying Data Pre-Algebra Learning Goal Students will understand collecting, displaying, & analyzing data.

3. Pre-Algebra 4-5 Displaying Data Students will understand collecting, displaying & analyzing data by being able to do the following: Learn to identify populations & recognize biased samples (4-1) Learn to organize data in tables and stem-and-leaf plots (4-2) Learn to find Euler circuits (14-6) Learn to find and use Hamiltonian circuits (14-7) Learn to find appropriate measures of central tendency (4-3) Learn to find measures of variability (4-4) Learn to display data in bar graphs, histograms, and line graphs (4-5)

4. Pre-Algebra 4-5 Displaying Data Today’s Learning Goal Assignment Learn to display data in bar graphs, histograms, and line graphs.

5. Pre-Algebra 4-5 Displaying Data Pre-Algebra HW Page 198 #1-3

6. Pre-Algebra 4-5 Displaying Data 4-5 Displaying Data Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation

7. Pre-Algebra 4-5 Displaying Data Warm Up Write each fraction as a decimal. 1. 2. 3. 4. 0.04 0.060.7 Pre-Algebra 4-5 Displaying Data 0.98 2525 49 50 3 50 7 10

8. Pre-Algebra 4-5 Displaying Data Problem of the Day Your job at the local library is to shelve the returned books. To correctly put the books on the shelves, you need to arrange them in order according to their numbers. Which order is correct? C A. 342.3, 342.5, 342.48, 342.52 B. 342.21, 342.47, 342.4, 342.59 C. 342.1, 342.17, 342.56, 342.76 D. 342.34, 342.43, 342.567, 342.56

9. Pre-Algebra 4-5 Displaying Data Today’s Learning Goal Assignment Learn to display data in bar graphs, histograms, and line graphs.

10. Pre-Algebra 4-5 Displaying Data Vocabulary bar graph frequency table histogram line graph

11. Pre-Algebra 4-5 Displaying Data A bar graph is a good way to display data that can be grouped in categories. If the data is given in the form of a list, it may help to organize the data in a frequency table first

12. Pre-Algebra 4-5 Displaying Data Additional Example 1: Displaying Data in a Bar Graph Organize the data into a frequency table and make a bar graph. The following data set reflects the number of hours of television watched every day by members of a sixth- grade class: 1 1 3 0 2 0 5 3 1 3 First, organize the data into a frequency table.

13. Pre-Algebra 4-5 Displaying Data Hours of TV Watched012345 Frequency231301 Additional Example 1 Continued Organize the data into a frequency table and make a bar graph. 1 1 3 0 2 0 5 3 1 3

14. Pre-Algebra 4-5 Displaying Data Hours of TV Watched012345 Frequency231301 Organize the data into a frequency table and make a bar graph. 1 1 3 0 2 0 5 3 1 3 The frequency is the number of times each value occurs. Additional Example 1 Continued

15. Pre-Algebra 4-5 Displaying Data Organize the data into a frequency table and make a bar graph. The frequencies are the heights of the bars in the bar graph. Additional Example 1 Continued

16. Pre-Algebra 4-5 Displaying Data Try This: Example 1 Organize the data into a frequency table and make a bar graph. The following data set reflects the number of laptop computers that are repaired by Mike the technician in one week. (each number is one day) 3 5 7 8 4 First, organize the data into a frequency table.

17. Pre-Algebra 4-5 Displaying Data Organize the data into a frequency table and make a bar graph. 3 5 7 8 4 Day of the WeekNumber of Repairs Monday3 Tuesday5 Wednesday7 Thursday8 Friday4 Try This: Example 1 Continued

18. Pre-Algebra 4-5 Displaying Data Organize the data into a frequency table and make a bar graph. 0 2 4 6 8 MondayTuesdayWednesdayThursdayFriday Frequency of Lap Top Repairs Try This: Example 1 Continued

19. Pre-Algebra 4-5 Displaying Data Additional Example 2: Displaying Data in a Histogram Jimmy surveyed 12 children to find out how much money they received from the tooth fairy. Use the data to make a histogram. 0.35 2.00 0.75 2.50 1.50 3.00 0.25 1.00 1.00 3.50 0.50 3.00 First, make a frequency table with intervals of $1.00. Then make a histogram.

20. Pre-Algebra 4-5 Displaying Data Additional Example 2 Continued 0.35 2.00 0.75 2.50 1.50 3.00 0.25 1.00 1.00 3.50 0.50 3.00 33.00 – 3.99 22.00 – 2.99 31.00 – 1.99 40 – 0.99 FrequencyMoney ($)

21. Pre-Algebra 4-5 Displaying Data Additional Example 2 Continued

22. Pre-Algebra 4-5 Displaying Data Try This: Example 2 Tonya surveyed 14 children at an after school day care to find out how many hours they spend there. Use the data to make a Histogram. 2:00 1:40 3:00 0:30 1:00 1:30 2:30 0:30 2:45 1:00 2:00 1:35 1:30 3:00 First, make a frequency table with intervals of 30 minutes. Then make a histogram.

23. Pre-Algebra 4-5 Displaying Data Time Spent at Day Care Frequency 0:00 to 0:302 0:31 to 1:002 1:01 to 1:302 1:31 to 2:004 2:01 to 2:301 2:31 to 3:003 2:00 1:40 3:00 0:30 1:00 1:30 2:30 0:30 2:45 1:00 2:00 1:35 1:30 3:00 Try This: Example 2 Continued

24. Pre-Algebra 4-5 Displaying Data Frequency Hours Spent at Day Care 0 1 2 3 4 5 0:00 to 0:30 0:31 to 1:00 1:01 to 1:30 1:31 to 2:00 2:01 to 2:30 2:31 to 3:00 Try This: Example 2 Continued

25. Pre-Algebra 4-5 Displaying Data Additional Example 3: Displaying Data in a Line Graph Make a line graph of the given data. Use the graph to estimate Mr. Yi’s salary in 1992. 69,0002000 58,0001995 49,0001990 42,0001985 Salary ($)Year

26. Pre-Algebra 4-5 Displaying Data Additional Example 3 Continued Create ordered pairs from the data in the table and plot them on a grid. Connect the points with lines. You can estimate the salary in 1992 by finding the point on the line between 1990 and 1995 that corresponds to 1992. Mr. Yi’s 1992 salary was about $51,000. Year Salary Mr. Yi’s Salary

27. Pre-Algebra 4-5 Displaying Data Try This: Example 3 Make a line graph of the given data. Use the graph to estimate the number of drivers licenses issued in 1993. YearLicenses (millions) 1980145 1985157 1990167 1995177 2000191 ’ 80 ’ 85 ’ 90 ’ 95 ’ 00 200 190 180 170 160 150 140 About 172 million Year Licenses (millions) Licenses Issued

28. Pre-Algebra 4-5 Displaying Data Lesson Quiz: Part 1 1. Organize the data in a frequency table and make a bar graph. 2, 4, 3, 1, 4, 1, 2, 2, 5, 1, 4, 3, 2, 1, 4, 3, 5, 2 1 2 3 4 5 8765432187654321 Frequency UnitsFrequency 14 25 33 44 52

29. Pre-Algebra 4-5 Displaying Data Lesson Quiz: Part 2 Use the graph for problems 2–4. 20 minutes Friday 2. What day did Sue exercise for 30 minutes? 3. How long did Sue exercise on Tuesday? 4. How many days did Sue exercise that week? 5