Question

here are the two parts of
wait times for rides
free flyer
steel thunder
wait times for rides
storm tower
lost voyage
difference in medians is \\( \frac { 4 } { 5 } \\), or 0.8, times the iqr. difference in medians is 3 times the iqr.
how does expressing the difference in medians as a multiple of the iqr help you compare two data sets?
the greater the multiple, the? the overlap between the data sets and
the? the inference you can make by comparing the medians.

Explanation:

When we express the difference in medians as a multiple of the IQR (Inter - Quartile Range), it gives us a relative measure. A larger multiple of the IQR for the difference in medians means that the central tendencies (medians) of the two data sets are more spread out relative to the spread (IQR) within each data set. This implies less overlap between the data sets. And when there is less overlap, the inference (such as which data set has a higher typical value) made by comparing the medians is more reliable.

Answer:

The greater the multiple, the less the overlap between the data sets and the more reliable the inference you can make by comparing the medians.