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

1 answer

To determine the correct response regarding the central measures (medians) and dispersion (interquartile ranges) of Miami and New Orleans based on box plots, you need to visually inspect the box plots. Here’s how to interpret them:

  1. Central Measure (Median Values): Look at the line inside each box. This line represents the median. Compare the median values for Miami and New Orleans.

  2. Dispersion (Interquartile Range): The height of the box represents the interquartile range (IQR), which is the range between the first quartile (Q1) and the third quartile (Q3). A taller box indicates larger dispersion.

If you observe:

  • Larger central measure: If the median line for Miami is higher than that for New Orleans.
  • Larger dispersion: If the box for Miami is taller than that for New Orleans.

Based on your findings, you will conclude one of these options:

  1. If Miami has a larger median and larger IQR, choose the first option.
  2. If Miami has a larger median and smaller IQR, choose the second option.
  3. If Miami has a smaller median and larger IQR, choose the third option.
  4. If Miami has a smaller median and smaller IQR, choose the fourth option.

Without the actual box plots to analyze, I cannot determine the correct response for you. You would need to compare the medians and IQRs from the box plots to select the appropriate option.