Sally, Sheree, Jim, and Gary each sample a group of students from their school and weigh them. The four sample means they obtain are:

Sally's sample: 114 lbs
Sheree's sample: 118 lbs
Jim's sample: 112 lbs
Gary's sample: 116 lbs

According to the school nurse, who has the weights for every student, the average weight schoolwide is 119.2 lbs. Whose sample was MOST LIKELY the largest?

Question

Sally, Sheree, Jim, and Gary each sample a group of students from their school and weigh them. The four sample means they obtain are:
 
Sally's sample: 114 lbs
 Sheree's sample: 118 lbs
 Jim's sample: 112 lbs
 Gary's sample: 116 lbs

 According to the school nurse, who has the weights for every student, the average weight schoolwide is 119.2 lbs. Whose sample was MOST LIKELY the largest?