"Interpreting a stem-and-leaf display"

Stem-and-Leaf Display Overview

  • Definition: A stem-and-leaf display is a method of organizing numerical data where each number is split into a 'stem' (the leading digit(s)) and a 'leaf' (the trailing digit).

Key Components in the Context

  • Test Scores Key: Each number's representation is important for understanding the display. It signifies how scores are presented in the leaf section.
  • Data Set: Scores are in the tens, with the first number (before the | symbol) representing the stem (tens place) and the second part (after the |) representing the leaf (units).

Interpreting the Stem-and-Leaf Display

Questions and Answers

  1. Lowest Score

    • The lowest score is found by identifying the first stem in the display.
    • Answer: (The specific lowest score was omitted in the transcript, but typically would be the first number from the ordered list.)

  2. Highest Score

    • The highest score can be identified from the last stem in the display. It is essential to inspect the last row of the data.
    • Answer: (The specific highest score was omitted in the transcript, but typically would be the last number from the ordered list.)

  3. How Many Students Scored

    • To find how many students scored in a specific range (e.g., 6s), count the number of leaves corresponding to that stem.
    • Answer: (The number of students scoring in the specified range was omitted; would require counting leaves in the designated range.)

Example for Application

  • Inspecting the displayed numbers:

    • For example, the scores 60, 70, and 94 can be broken down as follows:
    • Stem 6: 60 (6|0)
    • Stem 7: 70 (7|0, 7|1, 7|4, 7|7, 7|8 in the scores)
    • Stem 9: 94 (9|4)

  • This method is beneficial for quickly discerning the range of scores in a class or data set, as it visually simplifies data points into a readable format.