Question 1009703
The total is 7*39=273.
Two numbers are known, 31 and 53, and they make 84.
The other 5 must add up to 273-84= 189.
The smallest is 33, the largest 51.
The average value is 37.8
At least 3 numbers have to be below that, and they would be 33,35,37, whose sum is 105.
That leaves 84 for the other two, and they are 41 and 43.

The list of numbers is 
31,33,35,37,41,43,53.  They average to 39, and the number in the middle is 37.