Question 987468
x is the smallest; x+13 the largest
The sum of the 14 integers is 14x+91 (the sum of the integers from 1 to 13).
That equals the total, which is 27.5*14 (mean*n)=385
So 14x + 91=385
14x+294
x=21
x+13+34
The mean of the 7 largest is the mean of  28,29,30,31,32,33,34, and it is 31.