The box plots shown represent the average mileage of two different types of cars. Use the box plots to compare the data sets. Drag each value to show if it is greater for SUVs, greater for sedans, or if there is not enough information to tell. Range IQR Number of data points Maximum value Mean Median

To compare the data sets represented by box plots, let’s break down what each term means in context:

– Range: This is the difference between the maximum and minimum values in the data set. By observing the box plots, you can determine which vehicle type has a wider spread of values.

– IQR (Interquartile Range): This represents the range of the middle 50% of the data (from the first quartile to the third quartile). It indicates variability in the data and can also be assessed from the plots.

– Number of data points: This can usually be inferred from the visual representation of the data if the box plots provide such details.

– Maximum value: The highest point on the box plot will help ascertain which vehicle type has a greater maximum mileage.

– Mean: This requires more statistical calculation as box plots typically display medians rather than means, so it’s common to say “cannot tell” unless the mean is provided.

– Median: This is represented by the line inside the box of the box plot and indicates the middle value of the data set.

As you compare each aspect:

1. Range: Greater for SUVs or Sedans – determined visually.
2. IQR: Greater for SUVs or Sedans – determined visually.
3. Number of data points: Cannot tell unless indicated by plots.
4. Maximum value: Greater for SUVs or Sedans – determined visually.

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