Math Problem Statement

81 61 103 166 168 80 51 130 77 78 69 119 81 60 20 73 50 110 21 60 192 18 54 49 63 91 272 58 54 40 47 24 57 78 78 154 72 38 131 52 48 118 40 49 55 54 112 129 156 31 create a stem and leaf plot using these values

Solution

To create a stem-and-leaf plot, we need to split each number into two parts: the "stem" (typically the leading digit(s)) and the "leaf" (typically the trailing digit). For the numbers provided, since they range from 18 to 272, we can choose the tens place as the stem and the units place as the leaf.

Step 1: Organize the numbers

Here are the numbers grouped by tens:

  • 10s: 18
  • 20s: 20, 21, 24
  • 30s: 31, 38
  • 40s: 40, 40, 47, 48, 49, 49
  • 50s: 50, 51, 54, 54, 54, 55, 57, 58
  • 60s: 60, 60, 61, 63, 69
  • 70s: 72, 73, 77, 78, 78, 78
  • 80s: 80, 81, 81, 91
  • 100s: 103, 110, 118, 119, 129, 130, 131
  • 160s: 156, 166, 168
  • 190s: 192
  • 270s: 272

Step 2: Create the stem-and-leaf plot

StemLeaf
18
20, 1, 4
31, 8
40, 0, 7, 8, 9, 9
50, 1, 4, 4, 4, 5, 7, 8
60, 0, 1, 3, 9
72, 3, 7, 8, 8, 8
80, 1, 1, 91
103
110, 8, 9
129, 30, 31
166, 8
192
272

Explanation:

  • The "stem" represents the tens digit, and the "leaf" represents the ones digit.
  • For example, the number "18" is represented as stem "1" and leaf "8", and the number "192" as stem "19" and leaf "2".

Let me know if you would like a more detailed explanation or further clarifications!


Here are 5 related questions:

  1. How would you group numbers with three or more digits differently in a stem-and-leaf plot?
  2. What is the difference between a stem-and-leaf plot and a histogram?
  3. How can a stem-and-leaf plot be useful in identifying patterns in data?
  4. How would you modify the plot if the data included decimals?
  5. What does it mean if one "stem" has significantly more leaves than others?

Tip: Stem-and-leaf plots are great for preserving the original data while also giving a quick visual representation of the distribution.

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Math Problem Analysis

Mathematical Concepts

Data Representation
Stem-and-Leaf Plot
Data Grouping

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8