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Mathematical inequality
Let the highest score be a, the lowest score be b, and the sum of the remaining eighths be C.

According to the meaning of the question, the average score of eight people such as B is 88 (except the highest score, the average score of other students is 88), so the sum of the scores of eight people such as B is b+c=88×9=792.

According to the meaning of the question, the average score of eight people such as A is 9 1 (except the lowest score, the average score of other students is 9 1), so the sum of the scores of eight people such as A is a+c=9 1×9=8 19.

So the difference between the highest score and the lowest score is a-b = (a+c)-(b+c) = 819-792 = 27.

The difference between the highest score and the lowest score is 27 points.