Based on the mean and the other given scores, the missing score must be 286.
Assuming the missing score was x, it can be found as:
Mean score = (Sum of scores + x / Number of games
Solving gives:
252 = (210 + 238 + 264 + 262 + x) / 5
252 x 5 = 974 + x
x = 1,260 - 974
= 286
In conclusion, the missing score is 286.
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