Math Problem Statement

The table below shows the age and the height for each of 7 trees. Create a scatter plot for the data.

Solution

To create a scatter plot for the given data, let me explain how the points are plotted and then summarize the scatter plot.


Data Table:

Age (in years)Height (in meters)
35
54
78
812
1111
1210
1413

Steps to Create a Scatter Plot:

  1. Axes:

    • Horizontal Axis (x-axis) = Age (in years)
    • Vertical Axis (y-axis) = Height (in meters)
  2. Plot the Points:

    • (3, 5)
    • (5, 4)
    • (7, 8)
    • (8, 12)
    • (11, 11)
    • (12, 10)
    • (14, 13)
  3. Appearance:

    • Label axes: Age on x-axis, Height on y-axis.
    • Each point represents a tree’s age and height as a coordinate.

Scatter Plot Description:

  • The points are spread out, indicating a relationship between age and height.
  • There is no perfect trend, but it appears as though height increases generally as age increases, with a few fluctuations.

Would you like me to create and display the scatter plot? Let me know!


Related Questions:

  1. What is the general relationship between the age and height of the trees based on the scatter plot?
  2. How could the trend in the scatter plot be analyzed mathematically (e.g., line of best fit)?
  3. Is there any age value where the height seems unusually low or high compared to the trend?
  4. Can we estimate the height of a tree at age 10 using interpolation?
  5. How can we use a graphing tool (like Excel or Desmos) to create this scatter plot?

Tip:

Always check for outliers or irregular points when analyzing scatter plots.

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Math Problem Analysis

Mathematical Concepts

Data Representation
Scatter Plots
Coordinate Geometry

Formulas

Coordinate points (x, y) where x = age and y = height

Theorems

None explicitly required; general analysis of relationships in data applies

Suitable Grade Level

Grade 6-8