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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
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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 :-)