whole numbers are numbers that are not negative. I.e. {0, 1, 2, 3...} as such, to find the largest value a number in a set of seven whole numbers can be, we must assume that six of the seven numbers are the smallest they can be, as in 0.
Remembering how to find an average, [tex](r_{1} +r_{2}+r_{3}+...+r_{n})/n[/tex], where n is the number of terms, in this case 7, we can find the highest possible number.
To do this, we set [tex]r_{1}[/tex] through [tex]r_{6}[/tex] to 0. This gives us [tex]7=r_{n}/7[/tex].
Solving, we get that [tex]r_{n}=49[/tex] or that the largest possible value of any of the numbers is 49.