Use the mini lesson doc and/or lesson video in the Message Board before you answer this question on Comparing Data using Boxplots.

Use the box plots below. How do the central measures (median values) and dispersion (interquartile range) compare?

(1 point)
Responses

Miami has a larger central measure and larger dispersion than New Orleans
Miami has a larger central measure and larger dispersion than New Orleans

Miami has a larger central measure and smaller dispersion than New Orleans
Miami has a larger central measure and smaller dispersion than New Orleans

Miami has a smaller central measure and larger dispersion than New Orleans
Miami has a smaller central measure and larger dispersion than New Orleans

Miami has a smaller central measure and smaller dispersion than New Orleans
Miami has a smaller central measure and smaller dispersion than New Orleans

1 answer

To compare the central measures (median values) and dispersion (interquartile range) of the two box plots, we would typically need to analyze the visual representation of the box plots. However, as I do not have access to the actual box plots you're referring to, I can guide you on how to approach this comparison.

  1. Central Measure (Median Values): Look at the line inside each box of the box plots. The position of this line indicates the median value of the data.

    • If the median line for Miami is higher than that for New Orleans, then Miami has a larger central measure.
    • If it is lower, then Miami has a smaller central measure.
  2. Dispersion (Interquartile Range): Assess the length of the boxes in the box plots, which represents the interquartile range (IQR). A larger box indicates greater dispersion.

    • If the length of the box for Miami is longer than that for New Orleans, then Miami has larger dispersion.
    • If it is shorter, then Miami has smaller dispersion.

Based on your observation of the box plots, you should be able to select the correct answer from the provided options. If, for example, you find that Miami has a higher median and a longer interquartile range, then you would choose the first option: "Miami has a larger central measure and larger dispersion than New Orleans."

Make sure to carefully analyze both aspects before making your selection!