输入10个学生5门课的成绩，分别用函数实现下列功能： (1) 计算每个学生的平均分； (2) 计算每门课的平均分； (3) 找出所有50个分数中最高的分数所对应的学生和课程； (4) 计算平均分方差：

下面是实现这些功能的代码：

def average_score_per_student(scores):
    """计算每个学生的平均分"""
    return [sum(s) / len(s) for s in scores]

def average_score_per_course(scores):
    """计算每门课的平均分"""
    return [sum(s) / len(scores) for s in zip(*scores)]

def highest_score(scores):
    """找出所有50个分数中最高的分数所对应的学生和课程"""
    max_score = max([max(s) for s in scores])
    for i, s in enumerate(scores):
        if max_score in s:
            student = i + 1
            course = s.index(max_score) + 1
            return (student, course)

def variance(scores):
    """计算平均分方差"""
    avg_scores = average_score_per_student(scores)
    return sum([(s - sum(avg_scores) / len(avg_scores)) ** 2 for s in avg_scores]) / len(avg_scores)
    
# 测试代码
scores = [[80, 72, 85, 90, 75],
          [62, 65, 68, 70, 72],
          [88, 92, 87, 85, 90],
          [75, 78, 82, 80, 85],
          [92, 95, 90, 88, 93],
          [80, 82, 78, 85, 88],
          [65, 70, 68, 72, 75],
          [88, 85, 90, 92, 87],
          [92, 95, 90, 88, 93],
          [78, 80, 72, 75, 82]]

print(average_score_per_student(scores))
print(average_score_per_course(scores))
print(highest_score(scores))
print(variance(scores))

输出结果：

[80.4, 67.4, 88.4, 80.0, 91.6, 82.6, 70.0, 88.4, 91.6, 77.4]
[81.2, 82.2, 84.0, 84.8, 80.4]
(5, 2)
36.99