An Olympic inequality problem: in the personnel recruitment work of an enterprise, * * * arranged five tests to pass one, and scored one point if it failed, and scored no points. The average score of

An Olympic inequality problem: in the personnel recruitment work of an enterprise, * * * arranged five tests to pass one, and scored one point if it failed, and scored no points. The average score of 26 candidates this time was not low. the answer is indeed 22 people. However,

the second floor is about another problem-solving idea, although it has some value. But this kind of question type is not as complicated as what is said upstairs. My train of thought:

1. From the title, we can know several key conditions:

A. One ***26 people;

B. if you pass an item, you will get one point, and if you don't pass it, you won't score. That is to say, the sum of all the points lost must be N×1, which is an integer;

C. The average score is not less than 4.8, which means the maximum score is (5-4.8) × 26 = 5.2;

D. The lowest score is 3 points, that is to say, those who have and have 3 points will lose at least 2 points; And no less than 3 points, the highest score is 2 points;

e. at least 3 people get 4 points, which means at least 3 people lose 1 point each, and * * * loses more than 3 points.

2. From the above conditions, we can see that:

F. From the combination of B and C, we can see that all * * * will lose at most 5 points;

g. subtract 3 points in e from 5 points in f, leaving 2 points; The remaining 2 points lost must be exactly what the person who scored 3 points lost.

3. Based on the above, we can draw a conclusion: if one person gets 3 points, three people get 4 points, then all the others get 5 points, one ***26-1-3=22 people; The actual average score is 5-5÷26≈4.818.