Math Problem Statement

The box plots compare the prices of cars at two used-car dealerships. Which dealership has the greater range of prices?

Solution

The box plots in the image compare the prices of cars from two dealerships: "Carl's Capable Cars" and "Ava's Average Autos."

The question asks which dealership has the greater range of prices. In a box plot, the range is represented by the length of the "whiskers" and the box itself, which shows the minimum, maximum, and the spread of data between the first and third quartiles.

  • Carl's Capable Cars has a range from about 10 thousand dollars to 70 thousand dollars (i.e., the difference between the minimum and maximum is 60).
  • Ava's Average Autos has a range from about 15 thousand dollars to 55 thousand dollars (i.e., the difference is 40).

Therefore, Carl's Capable Cars has the greater range of prices.

The correct answer is:

  • C. Carl's Capable Cars

Would you like a more detailed breakdown of how to interpret box plots, or do you have any other questions?

Here are 5 related questions to consider:

  1. How is the interquartile range (IQR) calculated from a box plot?
  2. How does the median relate to the box plot, and where is it shown?
  3. What does it mean if a box plot is skewed in one direction?
  4. How would you compare the variability in prices between the two dealerships using the box plot?
  5. How can outliers be identified in a box plot?

Tip: The whiskers of a box plot show the minimum and maximum values, while the box itself represents the spread of the middle 50% of data (the interquartile range).

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Analysis
Box Plot
Range

Formulas

Range = Maximum Value - Minimum Value

Theorems

Range in a Box Plot

Suitable Grade Level

Grades 7-10