Math Problem Statement

The following data represents the age at which a sample of patients had their first dental implant.

38	39	37	37	44	38	41	38	39	35	42	39	43	37	41

Which of these choices displays the correct dotplot? Group of answer choices

Solution

To correctly identify the dotplot representing this data, we need to:

  1. Organize the data: The given ages are:

    • 38, 39, 37, 37, 44, 38, 41, 38, 39, 35, 42, 39, 43, 37, 41.
  2. Count occurrences of each age:

    • 35: 1 occurrence
    • 37: 3 occurrences
    • 38: 3 occurrences
    • 39: 3 occurrences
    • 41: 2 occurrences
    • 42: 1 occurrence
    • 43: 1 occurrence
    • 44: 1 occurrence
  3. Construct the dotplot:

    • Each dot represents one occurrence of a specific age.
    • The x-axis should have the ages (35, 37, 38, ..., 44).
    • The y-axis represents the frequency of each age.

Key Features of the Correct Dotplot:

  • For 35: 1 dot.
  • For 37: 3 dots.
  • For 38: 3 dots.
  • For 39: 3 dots.
  • For 41: 2 dots.
  • For 42: 1 dot.
  • For 43: 1 dot.
  • For 44: 1 dot.

Verification with Choices:

  • Compare each option to ensure the number of dots matches the frequency for each age.

Would you like me to sketch a sample dotplot based on this data? Or perhaps clarify further how to interpret dotplots?


Related Questions:

  1. What are the benefits of visualizing data using a dotplot?
  2. How does a dotplot differ from other data representations like histograms?
  3. What types of data are most suitable for dotplots?
  4. What statistical measures (mean, median) can you infer from a dotplot?
  5. How would adding more data points affect the appearance of the dotplot?

Tip: Always double-check the frequency counts to ensure your visual representation matches the data accurately.

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Math Problem Analysis

Mathematical Concepts

Data Visualization
Frequency Distribution

Formulas

Count occurrences of each data point to determine frequency

Theorems

Basic concepts of descriptive statistics for frequency

Suitable Grade Level

Grades 6-8