1. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Do Now: Solve 1. 2 x 7 + (3+2) 2. 5 + 9 ÷ 3 3. 16 ÷ 4 + 3 x 5 – 1 Hwk: p 58 #1&2 Course 2 EQ: How do I organize and interpret data in frequency tables and stem-and-leaf plots, and line plots? GPS: D1d: Construct frequency distribution. Also: D1f, P4c, P5a, P5b

2. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 FractionsDecimalsPercents 2/3 0.4 23% Do Now: for 8/16

3. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Vocabulary frequency table – A way to organize data into categories or groups. cumulative frequency – The frequency of all data values that are less than or equal to a given value. stem-and-leaf plot – A graph used to organize and display data so that the frequency can be compared. line plot – A number line with marks or dots that show frequency.

4. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 A frequency table is a way to organize data into categories or groups. By including a cumulative frequency column in your table, you can keep a running total of the frequencies in each category.

5. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Step 1: you choose scale that includes all the data value. Then separate scale into equal parts. Step 2: find number of data values in each interval. Write these numbers into “frequency” column. Step 3: Find cumulative frequency for each row by adding all the frequency values that are above or in that row!

6. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 2, 18, 5, 15, 7, 10, 1, 10, 4, 16, 7, 11, 17, 3, 8, 14, 13, 10 Students listed the number of days they spent on vacation in one year. Make a Frequency Table Number of Days Spent on Vacation Number of DaysFrequency

7. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Use the number to make a Tally table and then a Frequency Table 6, 7, 5, 7, 7, 8, 7, 6, 9, 7, 4, 10, 6, 8, 8, 9, 5, 6, 4, 8

8. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2

9. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. How many cities had average high temperature below 59 degrees? 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency Step 1: Choose a scale that includes all of the data values. Then separate the scale into equal intervals. 0–19 20–39 40–59 60–79

10. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. How many cities had average high temperature below 59 degrees? 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 Additional Example 1 Continued Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” column. February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency 7 5 5 3 0–19 20–39 40–59 60–79

11. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the average high temperatures for 20 cities on one February day. Make a cumulative frequency table of the data. How many cities had average high temperature below 59 degrees? 69, 66, 65, 51, 50, 50, 44, 41, 38, 32, 32, 28, 20, 18, 12, 8, 8, 4, 2, 2 Additional Example 1 Continued Step 3: Find the cumulative frequency for each row by adding all the frequency values that are above or in that row. February Temperatures in 20 Cities Average Highs Frequency Cumulative Frequency 0–19 20–39 40–59 60–79 7 5 5 3 7 12 17 20 17 cities had average high temperature below 59 degrees.

12. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 1 English Exam Grades GradesFrequency Cumulative Frequency 60–69 70–79 80–89 90–99 Step 1: Choose a scale that includes all of the data values. Then separate the scale into equal intervals. The list shows the grades received on an English exam. Make a cumulative frequency table of the data. How many students received a grade of 79 or below? 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96

13. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the grades received on an English exam. Make a cumulative frequency table of the data. How many students received a grade of 79 or below? 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96 Check It Out: Example 1 Continued Step 2: Find the number of data values in each interval. Write these numbers in the “Frequency” column. English Exam Grades GradesFrequency Cumulative Frequency 60–69 70–79 80–89 90–99 4 4 6 6

14. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the grades received on an English exam. Make a cumulative frequency table of the data. How many students received a grade of 79 or below? 85, 84, 77, 65, 99, 90, 80, 85, 95, 72, 60, 66, 94, 86, 79, 87, 68, 95, 71, 96 Step 3: Find the cumulative frequency for each row by adding all the frequency values that are above or in that row. English Exam Grades GradesFrequency Cumulative Frequency 60–69 70–79 80–89 90–99 4 4 6 6 4 8 14 20 8 students received grades of 79 or below. Check It Out: Example 1 Continued

15. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Examples of frequency tables and cumulative frequency : The list shows box office receipts in millions of dollars for 20 Imax films. Make a cumulative frequency table of the data. How many films earned under $40 million? 76, 51, 41, 38, 18, 17, 16, 15, 13, 13, 12, 12, 10, 6, 5, 5, 4, 4, 2. Lets look at steps

16. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 IMAX Films Receipts ($ million) FrequencyCumulative Frequency 0-19

17. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Use the first data to make a Cumulative Frequency Table Number of Days Spent on Vacation Number of DaysFrequencyCumulative Frequency

18. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 TOTD Nurses’ Ages AgesFrequency Cumulative Frequency 20–2955 30–397 12 40–494 16 50–592 18 60–692 20 The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 1. Make a cumulative frequency table of the data. How many of the nurses are under the age of 40? 12

19. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 A stem-and-leaf plot can be used to show how often data values occur and how they are distributed. Each leaf on the plot represents the right-hand digit in a data value, and each stem represents left-hand digits. 2 4 7 9 3 0 6 Stems Leaves Key: 2|7 means 27

20. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17 Additional Example 2: Organizing and Interpreting Data in a Stem-and-Leaf Plot Step 1: Order the data from least to greatest. Since the data values range from 12 to 40, use tens digits for the stems and ones digits for the leaves.

21. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Additional Example 2 Continued Step 2: List the stems from least to greatest on the plot. Stems Leaves 12341234 The stems are the tens digits. The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17

22. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Additional Example 2 Continued Step 3: List the leaves for each stem from least to greatest. Stems Leaves 12341234 The stems are the tens digits. 2 5577 8 0 1 2 3 3 9 3 3 0 The leaves are the ones digits. The data shows the number of years coached by the top 15 coaches in the all-time NFL coaching victories. Make a stem-and-leaf plot of the data. Then find the number of coaches who coached fewer than 25 years. 33, 40, 29, 33, 23, 22, 20, 21, 18, 23, 17, 15, 15, 12, 17

23. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Additional Example 2 Continued Step 4: Add a key and a title. The stems are the tens digits. Stems Leaves 12341234 2 5577 8 0 1 2 3 3 9 3 3 0 The leaves are the ones digits. Number of Years Coached Key: 2 | 1 means 21. 11 coaches coached fewer than 25 years.

24. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The list shows the number of times each soccer player can bounce the ball on their knee. How many soccer players can bounce the ball more than 36 times. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41 Check It Out: Example 2 Step 1: Order the data from least to greatest. Since the data values range from 23 to 68, use tens digits for the stems and ones digits for the leaves.

25. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 2 Continued Step 2: List the stems from least to greatest on the plot. Stems Leaves 2345623456 The stems are the tens digits. The list shows the number of times each soccer player can bounce the ball on their knee. How many soccer players can bounce the ball more than 36 times. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41

26. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 2 Continued The stems are the tens digits. Stems Leaves 2345623456 Step 3: List the leaves for each stem from least to greatest. The leaves are the ones digits. 3 7 8 9 0 0 3 5 7 0 11 3 5 5 0 1 2 8 8 The list shows the number of times each soccer player can bounce the ball on their knee. How many soccer players can bounce the ball more than 36 times. 55, 60, 33, 30, 23, 45, 28, 41, 62, 29, 35, 40, 43, 37, 68, 30, 61, 27, 38, 41

27. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 2 Continued The stems are the tens digits. Step 4: Add a key and a title. The leaves are the ones digits. Stems Leaves 2345623456 3 7 8 9 0 0 3 5 7 0 11 3 5 5 0 1 2 8 8 Number of times a Soccer Player can bounce the ball on their knee Key: 4 | 0 means 40. 12 soccer players can bounce the ball on their knee more than 36 times.

28. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many hours per day did Morgan babysit most often? Additional Example 3: Organizing and Interpreting Data in a Line Plot MTWThFSSu Wk 10646582 Wk 22777068 Wk 30685612 Wk 44843360 Number of Babysitting Hours in July

29. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many hours per day did Morgan babysit most often? Additional Example 3 Continued Step 1: The data values range from 0 to 8. Draw a number line that includes this range. 0 1 2 3 4 5 6 7 8

30. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many hours per day did Morgan babysit most often? Additional Example 3 Continued Step 2: Put an X above the number on the number line that corresponds to the number of babysitting hours in July. 0 1 2 3 4 5 6 7 8 XXXXXXXX X XXXXXX X XXXXXX X XXXXXXXXXXXX XXXXXX XXXXXXXX The greatest number of X’s appear above the number 6. This means that Morgan babysat most often for 6 hours.

31. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Make a line plot of the data. How many slices of pizza did most people eat? Check It Out: Additional Example 3 2412531 0432532 4614225 Number of Slices eaten per Person

32. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 3 Continued Step 1: The data values range from 0 to 6. Draw a number line that includes this range. 0 1 2 3 4 5 6 Make a line plot of the data. How many slices of pizza did most people eat?

33. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 Check It Out: Example 3 Continued 0 1 2 3 4 5 6 Make a line plot of the data. How many slices of pizza did most people eat? Step 2: Put an X above the number on the number line that corresponds to the number slices of pizza eaten per person. X XXXXXX XXXXXXXXXXXX XXXXXX XXXXXXXX XXXXXX X The greatest number of X’s appear above the number 2. This means that most people ate 2 slices of pizza.

34. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 2. Make a stem-and-leaf plot of the data. How many nurses are over the age of 45? Stems Leaves 2345623456 1 3 3 4 4 1 3 4 5 5 8 9 2 5 5 5 7 0 1 Nurses’ Ages Key: 4 | 2 means 42. 4 Lesson Quiz: Part II

35. 7-1 Frequency Tables, Stem-and-Leaf Plots, and Line Plots Course 2 The data shows the ages of some hospital nurses. 33, 35, 23, 39, 23, 24, 34, 21, 57, 45, 57, 60, 45, 24, 31, 42, 61, 45, 35, 38 3. Make a line plot of the data. What age occurs most often? 45 20-29 30-39 40-49 50-59 60-69 XXXXXXXXXX XXXXXXXXXXXXXX XXXXXXXX X X Lesson Quiz: Part III