用c语言写：输人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： ， 其中,xi为某一学生的平均分。

可以回答这个问题。以下是代码示例：

#include <stdio.h>

#define STUDENTS 10
#define COURSES 5

void input_scores(float scores[][COURSES]);
void average_per_student(float scores[][COURSES], float averages[]);
void average_per_course(float scores[][COURSES], float averages[]);
void highest_score(float scores[][COURSES], int *student, int *course);
float variance(float averages[], float mean);

int main(void)
{
float scores[STUDENTS][COURSES];
float student_averages[STUDENTS];
float course_averages[COURSES];
int highest_student, highest_course;
float mean, var;

input_scores(scores);
average_per_student(scores, student_averages);
average_per_course(scores, course_averages);
highest_score(scores, &highest_student, &highest_course);
mean = course_averages[0];
var = variance(student_averages, mean);

printf("每个学生的平均分：\n");
for (int i = 0; i < STUDENTS; i++) {
printf("学生%d：%.2f\n", i + 1, student_averages[i]);
}
printf("\n");

printf("每门课的平均分：\n");
for (int i = 0; i < COURSES; i++) {
printf("课程%d：%.2f\n", i + 1, course_averages[i]);
}
printf("\n");

printf("最高分数所对应的学生和课程：\n");
printf("学生%d，课程%d，分数%.2f\n", highest_student + 1, highest_course + 1, scores[highest_student][highest_course]);
printf("\n");

printf("平均分方差：%.2f\n", var);

return 0;
}

void input_scores(float scores[][COURSES])
{
for (int i = 0; i < STUDENTS; i++) {
printf("请输入学生%d的成绩：\n", i + 1);
for (int j = 0; j < COURSES; j++) {
scanf("%f", &scores[i][j]);
}
}
}

void average_per_student(float scores[][COURSES], float averages[])
{
for (int i = 0; i < STUDENTS; i++) {
float sum = 0;
for (int j = 0; j < COURSES; j++) {
sum += scores[i][j];
}
averages[i] = sum / COURSES;
}
}

void average_per_course(float scores[][COURSES], float averages[])
{
for (int i = 0; i < COURSES; i++) {
float sum = 0;
for (int j = 0; j < STUDENTS; j++) {
sum += scores[j][i];
}
averages[i] = sum / STUDENTS;
}
}

void highest_score(float scores[][COURSES], int *student, int *course)
{
float highest = scores[0][0];
for (int i = 0; i < STUDENTS; i++) {
for (int j = 0; j < COURSES; j++) {
if (scores[i][j] > highest) {
highest = scores[i][j];
*student = i;
*course = j;
}
}
}
}

float variance(float averages[], float mean)
{
float sum = 0;
for (int i = 0; i < STUDENTS; i++) {
sum += (averages[i] - mean) * (averages[i] - mean);
}
return sum / STUDENTS;
}