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The mean score is calculated by adding all the numbers together and then dividing by the total number of numbers.
27 + 24 + 18 + 19 + 5 + 16 + 22 + 10 + 6 + 20 = 167
Now, divide by 10 (since there are 10 numbers in total):
167 / 10 = 16.7
Therefore, the mean score of the given numbers is 16.7.