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Suppose a school runs class one to class twelve and every class has a maximum capacity of 60 students. Each class offers maximum 8 courses in a year. The school wants to store all the data of the obtained marks by the students for 2 exams of a year in this array size form:
size(marks) = (num_class, num_course, num_exam, num_students)
Which is actually (12, 8, 2, 60)
Based on this assumption answer the following questions.
How to calculate sum of marks for each student in the year (in all subjects and exams)?
What is mean mark obtained by any student in course number 5 ?
How to calculate standard deviation of numbers for each class?
How to get variance of numbers for all students of school?
Let, How to get covariance matrix cov78 of the marks of class 7 and 8 with normalized by observation numbers?
What is the actual covariance in the matrix cov78 (see previous question)?