[思考背景]2010年,蔡金法教授主持新世纪高研班研修活动时提供了一道“帽子平均数”问题,并给出了3个学生的不同解题记录(如下图)。蔡教授请67位学员们(教材编委、专家学者、30位高研班学员、部分优秀教研员和骨干教师)对这3个学生的解题记录进行评分。最高分4分,最低分是0分,按0、1、2、3、4五个等级来评分。评分结果统计如下: [Background] In 2010, Professor Cai Jinfa gave a “hat average” issue when he presided over the seminars in the new century and gave three different problem solving records (below). Professor Cai asked 67 students (textbook editorial board, experts and scholars, 30 senior study students, some outstanding teachers and key teachers) on the three students problem solving record. The highest score of 4 points, the lowest score is 0 points, according to 0,1,2,3,4 five grades to score. The score results are as follows: