Question

When Aviation College is removed from the dataset (as displayed by the lower boxplot), and the mean tuition and fees are recalculated for the remaining Florida colleges for that year, how would the new mean (without Aviation College) compare to the old mean (with Aviation College)? Choose one response. The mean would decrease when Aviation College is removed from the dataset. The mean would not change when Aviation College is removed from the dataset. The mean would increase when Aviation College is removed from the dataset.

Answer 1

The mean would decrease when Aviation College is removed from the dataset. Hence the correct option is c.

Removing Aviation College from the dataset can impact the mean tuition and fees for Florida colleges in the following ways. The mean is a measure sensitive to extreme values, and if Aviation College has tuition and fees significantly higher than the rest, its removal would likely lead to a decrease in the overall mean.

This is because the average would no longer be influenced by the high tuition of Aviation College, causing the new mean to be more representative of the remaining colleges. Therefore, the removal of Aviation College is expected to result in a lower mean tuition and fees for the remaining Florida colleges compared to the old mean that included Aviation College's potentially higher values. Hence the correct option is c.