A courier company compares delivery times in two service zones, East and West. The average delivery time in the East zone is 8 minutes shorter than the average delivery time in the West zone. However, more than half of the deliveries in the East zone take longer than the average delivery time in the West zone.
Statement: If the average delivery time in the West zone is ___1___, then the median delivery time in the East zone is ___2___.
Select for 1 and for 2 the options that complete the statement so that it most accurately reflects the information provided. Make only two selections, one in each column.The passage presents a scenario in which the average time for the East zone is 8 minutes shorter than that for the West zone even though most East zone deliveries take longer than most West zone deliveries.
So, we can see that the median for the East zone is greater than average for the West zone since the middle delivery time for the East zone will be among the majority of delivery times that are greater than the West zone average.
Thus, we need to select for
1 and
2 answers that indicate that the West zone average is lower than the East zone median, while possibly taking into account the 8-minute difference between their averages.
We can quickly eliminate for blank
2 equal to 38 minutes,
equal to 42 minutes, and
equal to 46 minutes since we don't have information indicating an exact value for the East zone median.
Also, even if the West zone average is
equal to 38 minutes,
equal to 42 minutes, or
equal to 46 minutes, the East zone median could still have a variety of values greater than or less than 50 minutes.
In fact, the only constraint that we can find is the following.
If the West zone average is
greater than 50 minutes, the East zone median must also be
greater than 50 minutes since the East zone median is greater than the West zone average.
Takeaway: Unless a TPA question says that the two answers must be different, remember that they can be the same.
Correct answer: greater than 50 minutes,
greater than 50 minutes