Math Problem Statement

This data is going to be plotted on a scatter graph. Choose the best scale for the Length axis. What should the values of A and B be?

Solution

To determine the best values for AA and BB, which represent the scale for the Length axis on the scatter graph, let’s analyze the provided data:

Length Data:

113 cm, 139 cm, 109 cm, 92 cm, and 120 cm.

Steps:

  1. Identify the Range of Data:

    • Minimum Length = 92 cm.
    • Maximum Length = 139 cm.
  2. Set the Scale:

    • Choose AA as a value slightly less than the minimum length to allow all data points to fit. AA could be 90 cm.
    • Choose BB as a value slightly greater than the maximum length to account for all data points. BB could be 140 cm.

Answer:

  • A=90cmA = 90 \, \text{cm}
  • B=140cmB = 140 \, \text{cm}

Let me know if you want a detailed explanation or have any questions!


Here are 5 related questions for further exploration:

  1. How would you determine the best scale for the Mass axis in the scatter plot?
  2. Why is it important to choose a scale that includes all data points?
  3. What would happen if AA or BB were chosen incorrectly?
  4. How can this scale affect the interpretation of a scatter graph?
  5. How do you decide the intervals for the axis (e.g., increments of 5 cm, 10 cm)?

Tip: Always check

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Math Problem Analysis

Mathematical Concepts

Data Analysis
Scatter Graphs
Scale Selection

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8