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Example 5-2b Objective Construct and interpret stem-and-leaf plots
Example 5-2b Vocabulary Stem-and-leaf plot Data is ordered from least to greatest and is organized by place value LeavesStems
Example 5-2b Vocabulary Stems The larger place values of the data set Leaves Stems
Example 5-2b Vocabulary Leaves The ones place value of the data set Leaves Stems
Example 5-2b Vocabulary Key Explains the stems and leaves 7 is the tens digit 8 is the ones digit 7 8 = 78
Lesson 5 Contents Example 1Construct a Stem-and-Leaf Plot Example 2Interpret Stem-and-Leaf Plots
Example 5-1a WEATHER Make a stem-and-leaf plot for the data in the table Average July Highs (°F) for Selected European Cities /2 Order the data from least to greatest. 66, 67,69, 70, Begin with the smallest number which is 66 Continue with the numbers in the 60’s Do the 70’s in order from least to greatest 71,72,73, 74, 75,76,77,78,79, Do the 80’s in order from least to greatest 81,88,89,
Example 5-1b Draw a stem-and-leaf frame which includes a horizontal line Leaf Stem 66, 67, 69, 70, 71, 72, 73, 73, 74, 74, 75, 76, 77, 78, 79, 81, 88, 89 1/2 Then draw a vertical line Label headings with “Stem” on the left and “Leaf” on the right
Example 5-1b The stem is the beginning place value of the number which are tens Leaf Stem 66, 67, 69, 70, 71, 72, 73, 73, 74, 74, 75, 76, 77, 78, 79, 81, 88, 89 1/2 6 The next group of numbers have a 7 in the ten’s place 7 The next group of numbers have a 8 in the ten’s place 8
Example 5-1b The leaf is the one’s place value digits Leaf Stem 66, 67, 69, 70, 71, 72, 73, 73, 74, 74, 75, 76, 77, 78, 79, 81, 88, 89 1/ Across from the “6” in the stem, put all the numbers in the 60’s group 6,7,9 Across from the “7” in the stem, put all the numbers in the 70’s group 0, 1,2,3, 4, 5,6,7,8,9 Across from the “8” in the stem, put all the numbers in the 70’s group 1,8,9
Example 5-1b Make a key for the stem-and-leaf plot Leaf Stem 1/ ,7,9 0, 1,2,3, 4, 5,6,7,8,9 1,8,9 Choose a stem number then write “Key” then the stem Key 6 Choose a leaf number on the same row then put a vertical line after the stem then write the “Leaf” number Key 6 7 Put and = sign then write what the key means Key 6 7 = 67
Example 5-1b Leaf Stem 1/ ,7,9 0, 1,2,3, 4, 5,6,7,8,9 1,8,9 Key 6Key 6 7 Key 6 7 = 67 Answer:
Example 5-1d Make a stem-and-leaf plot for the data in the table below. Speeds of Cars Driving on the Highway (miles per hour) 5 = 65 Answer: LeafStem 1/2 Key
Example 5-2a FOOTBALL The stem-and-leaf plot shows the total points scored in Super Bowls I through XXXVI (1967–2002). Analyze the data (means to describe) 5 3 = LeafStem 2/2 Key
Example 5-2a 5 3 = LeafStem 2/2 The largest number is 75 The smallest number is 21 The range is the largest number - the smallest number Range = Range = 54 Most of the data is in the 30’s, 40’s and 50’s Key
Example 5-2a Answer: Range = 54 Most of the data is in the 30’s, 40’s, and 50’s 2/2
Example 5-2b HOTEL RATES The following stem-and-leaf plot shows nightly hotel rates for a sample of hotels in a large metropolitan area. Analyze the data Answer: Range = 33 Most of the data is in the 70’s and 80’s 8 3 = $ LeafStem * 2/2 Key
End of Lesson 5 Assignment Lesson 2:5Stem-and-Leaf Plots All