Transcript 6-9
6-9 Stem-and-Leaf Plots Warm Up Problem of the Day Lesson Presentation Course 1 6-9 Stem-and-Leaf Plots Warm Up A set of data ranges from 12 to 86. What intervals would you use to display this data in a histogram with four intervals? Possible answer: 10–29, 30–49, 50–69, 70–89 Course 1 6-9 Stem-and-Leaf Plots Problem of the Day What is the least number that can be divided evenly by each of the numbers 1 through 12? 27,720 Course 1 6-9 Stem-and-Leaf Plots Learning Goal Assignment Learn to make and analyze stem-and-leaf plots. Course 1 6-9 Stem-and-Leaf Insert Lesson Title PlotsHere Vocabulary stem-and-leaf plot Course 1 6-9 Stem-and-Leaf Plots A stem-and-leaf plot shows data arranged by place value. You can use a stem-and-leaf plot when you want to display data in an organized way that allows you to see each value. Course 1 6-9 Stem-and-Leaf Plots Additional Example 1: Creating Stem-and-Leaf Plots Use the data in the table to make a stem-andleaf plot. 75 88 Test Scores 86 83 91 84 99 79 Step 1: Group the data by tens digits. Step 2: Order the data from least to greatest. Course 1 94 86 75 79 83 84 86 86 88 91 94 99 6-9 Stem-and-Leaf Plots Helpful Hint To write 42 in a stem-and-leaf plot, write each digit in a separate column. 4 2 Stem Course 1 Leaf 6-9 Stem-and-Leaf Plots Additional Example 1 Continued Step 3: List the tens digits of 75 79 the data in order from least to greatest. 83 84 86 86 88 Write these in the 91 94 99 “stems” column. Step 4: For each tens digit, record the ones digits of each data value in order from least to greatest. Write these in the “leaves” column. Step 5: Title the graph and add a key. Key: 7 5 means 75 Course 1 Test Scores Stems Leaves 7 8 9 5 9 3 4 6 6 8 1 4 9 6-9 Stem-and-Leaf Plots Try This: Example 1 Use the data in the table to make a stem-andleaf plot. 72 84 Test Scores 88 64 79 83 76 74 Step 1: Group the data by tens digits. Step 2: Order the data from least to greatest. Course 1 61 67 61 64 67 72 74 76 79 83 84 88 6-9 Stem-and-Leaf Plots Try This: Example 1 Cont. Step 3: List the tens digits of the data in order from least to greatest. Write these in the “stems” column. 61 64 67 72 74 76 79 83 84 88 Step 4: For each tens digit, record the ones digits of each data value in order from least to greatest. Write these in the “leaves” column. Step 5: Title the graph and add a key. Key: 6 1 means 61 Course 1 Test Scores Stems Leaves 6 7 8 1 4 7 2 4 6 9 3 4 8 6-9 Stem-and-Leaf Plots Additional Example 2: Reading Stem-and-Leaf Plots Find the least value, greatest value, mean, median, mode, and range of the data. The least stem and least leaf Stems give the least value, 40. 4 The greatest stem and 5 greatest leaf give the 6 greatest value, 94. 7 8 Use the data values to find the mean (40 + … + 94) ÷ 23 = 64. 9 Leaves 00157 1124 333599 044 367 14 Key: 4 0 means 40 Course 1 6-9 Stem-and-Leaf Plots Additional Example 2 Continued The median is the middle value in the table, 63. To find the mode, look for the number that occurs most often in a row of leaves. Then identify its stem. The mode is 63. The range is the difference between the greatest and the least value. 94 – 40 = 54. Course 1 Stems 4 5 6 7 8 9 Leaves 00157 1124 333599 044 367 14 Key: 4 0 means 40 6-9 Stem-and-Leaf Plots Try This: Example 2 Find the least value, greatest value, mean, median, mode, and range of the data. The least stem and least leaf Stems give the least value, 30. 3 The greatest stem and 4 greatest leaf give the 5 greatest value, 85. 6 Use the data values to find the 7 mean (30 + … + 85) ÷ 23 = 55. 8 Leaves 02568 1134 456999 124 569 15 Key: 3 0 means 30 Course 1 6-9 Stem-and-Leaf Plots Try This: Example 2 Continued The median is the middle value in the table, 56. To find the mode, look for the number that occurs most often in a row of leaves. Then identify its stem. The mode is 59. The range is the difference between the greatest and the least value. 85 – 30 = 55. Stems 3 4 Leaves 02568 1134 5 6 456999 124 7 8 569 15 Key: 3 0 means 30 Course 1 6-9 Stem-and-Leaf Insert Lesson Title PlotsHere Lesson Quiz: Part 1 1. Make a stem-and-leaf plot of the data. 42 36 40 31 29 49 21 28 52 27 22 35 30 46 34 34 Course 1 6-9 Stem-and-Leaf Insert Lesson Title PlotsHere Lesson Quiz: Part 2 Find each value using the stem-and-leaf plot. 2. What is the least value? 21 3. What is the mean? 34.75 4. What is the median? 34 5. What is the mode? 34 Course 1