Question $1(15$ points$)$

Workers at a particular mining site receive an average of $35$ days unpaid vacation, which is higher than the national average. The manager of this plant is under pressure from a local union to decrease the amount of unpaid time off. However, he does not want to give less unpaid days off to the workers because that would be costly$.$ Instead he decides he should fire $10$ employees in such a way as to lower the average number of unpaid days off that are reported by his employees. In order to achieve this goal, should he fire employees who have the most number of days off, least number of days off, or those who have about the average number of days off?

Neither of the other $3$ answers

Any $10$ employees whose average number of unpaid days off is between the maximum and the mean number of days off for the entire workforce at this plant.

Any $10$ employees whose average number of unpaid days off is between the minimum and the mean number of days off for the entire workforce at this plant.

Any $10$ employees whose average number of unpaid days off is between the minimum and the maximum number of days off for the entire workforce at this