Ad
  • Default User Avatar

    This comment is hidden because it contains spoiler information about the solution

  • Default User Avatar

    Say your peers scores are x1, x2,..., x{n-1}, and yours is a.
    Then you want to show that a is greater than the average, written as an inequality you get:

    (x1 + x2 + ... + x{n-1} + a) / n < a

    Where n is the total number of grades including yours.

    Now multiply both sides by n to get

    x1 + x2 + ... + x{n-1} +a < n * a

    Subtract a on both sides

    x1 + x2 + ... + x{n-1} < (n - 1) * a

    Now divide by (n - 1)

    (x1 + x2 + ... + x{n-1}) / (n - 1) < a

    The LHS is the average of the scores without taking into acount your score.

    Hope this helps :-)