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Displaying & Analyzing Data

This resource provides a comprehensive overview of stem-and-leaf plots, an effective method for displaying and analyzing numerical data. We delve into the definitions of stems and leaves, illustrate how to create and read stem-and-leaf plots, and provide practical examples, including data on U.S. Presidents' ages at inauguration. Additionally, we answer analytical questions regarding the data presented. The goal is to enhance understanding of how to organize, interpret, and communicate data effectively using statistical techniques.

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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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