Math Problem Statement

answer

If you were to create a scatter plot of Age vs. Height, who would appear in the upper-left corner of the plot?

Solution

The question asks who would appear in the upper-left corner of a scatter plot of Age vs. Height. In a scatter plot:

  • The x-axis usually represents Age.
  • The y-axis represents Height.
  • The upper-left corner represents someone with a low age (x-value) and a high height (y-value).

From the table provided, let’s evaluate the people based on their age (lower is better for x-axis) and height (higher is better for y-axis):

  1. John: Age 25, Height 175 cm
  2. Emma: Age 30, Height 160 cm
  3. Alex: Age 22, Height 180 cm
  4. Sarah: Age 33, Height 165 cm
  5. David: Age 28, Height 170 cm
  6. Lily: Age 32, Height 158 cm
  7. Mike: Age 27, Height 178 cm

Looking for someone with the smallest age and the largest height:

  • Alex is the youngest (Age 22) and also has the highest height (180 cm).

Thus, the person appearing in the upper-left corner is Alex.

Answer: a. Alex

Would you like more details or have any other questions? Here are some additional related questions to deepen your understanding:

  1. How do you interpret points in different quadrants of a scatter plot?
  2. What could the slope of the trend line on a scatter plot of Age vs. Height tell you?
  3. How would a scatter plot of Age vs. Weight differ from Age vs. Height?
  4. Why might someone use a scatter plot instead of other chart types for this data?
  5. What methods can be used to find correlations between Age and Height from the data?

Tip: The upper-left and lower-right corners in scatter plots are often key for identifying trends like negative correlations.

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Math Problem Analysis

Mathematical Concepts

Scatter Plot
Coordinate Plane
Graphing Data

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8