After throwing out the highest and lowest there a re seven judges scores to determine the GOE.

If 1 judge out of seven gives +1 and the rest give 0, the average GOE is.142857.

If 2 judges give +1, the average is.285714.

If 3 judges give +1, the average is.428571

If 4 judges give +1, the average is.571428.

If 5 judges give +1, the average is.714285.

If 6 judges give +1, the average is.857142.

Note that all of these average GOE’s have thesame six decimal digits, and in the same order, just starting at a different place.

Challenge. This works for a panel of n = 7 judges. Find another panel size n for which this also works.

N = 17 works. Can you find another?

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