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Displaying & Analyzing Data

Displaying & Analyzing Data. Stem-and-leaf Plot. Vocabulary Leaf – the last number Stem – anything to the left of the very last number (sometimes that is “0” ; sometimes it is two numbers) Key – an explanation of the stem and leaf. Statistics: Stem-and-Leaf Plots.

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Displaying & Analyzing Data

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  1. Displaying & Analyzing Data Stem-and-leaf Plot

  2. Vocabulary • Leaf – the last number • Stem – anything to the left of the very last number (sometimes that is “0” ; sometimes it is two numbers) • Key – an explanation of the stem and leaf

  3. Statistics: Stem-and-Leaf Plots • Statistics: The branch of mathematics that deals with collecting, organizing, analyzing or interpreting data. • Data: Numerical facts or information. • Stem-and-Leaf Plots: A convenient method to display every piece of data by showing the digits of each number.

  4. Statistics: Stem-and-Leaf Plots • In a stem-and-leaf plot, the greatest common place value of the data is used to form stems. • The numbers in the next greatest place value position are then used to form the leaves.

  5. Stem 7 8 9 Leaf 2 8 6 7 7 8 9 0 7 2 = 72 degrees High temperatures for the last week: 72, 78, 87, 90, 88, 86, 87, 89

  6. Stem and Leaf Plot • Here are the numbers of homeruns that Babe Ruth hit in each of his 15 years with the New York Yankees from 1920-1934: 54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41, 34, 22

  7. Statistics: Stem-and-Leaf Plots Age of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40th presidency) Stem Leaf 4 5 6 2 3 6 7 8 9 9 Key: 57 means 57 0 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 0 1 1 1 2 4 4 5 8 9

  8. Age of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40th presidency) Stem Leaf 9 8 6 9 7 2 3 4 5 6 7 7 7 8 7 4 1 0 2 6 4 0 5 4 1 6 5 1 4 1 5 6 2 1 1 8 4 5 0 2 1 9 4

  9. Statistics: Stem-and-Leaf Plots Age of United states Presidents at their First Inauguration: 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 50 47 55 54 42 51 56 55 51 54 51 60 62 43 55 56 61 52 69 64 (Through the 40th presidency) Rearrange the leaf in numerical order from least to greatest Stem Leaf 4 5 6 2 3 6 7 8 9 9 0 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 0 1 1 1 2 4 4 5 8 9

  10. Statistics: Stem-and-Leaf Plots It is easy to interpret or analyze information from the Stem-and-Leaf. • How many presidents were 51 years old at their inauguration? • What age is the youngest president to be inaugurated? • What is the age of the oldest president to be inaugurated? • How many presidents were 40-49 years old at their inauguration? 4 42 69 7 Stem Leaf: Age of United States Presidents at their First Inauguration (through the 40th Presidency) 4 5 6 2 3 6 7 8 9 9 0 0 1 1 1 1 2 2 4 4 4 4 5 5 5 6 6 6 7 7 7 7 8 0 1 1 1 2 4 4 5 8 9

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