Write a C++ program that reads a list of students 'grades from a file called students.dat. The program should read the grades, store them in a container (vector or array) and then compute the average and the standard deviation of the list of grades. The program should output the average and the standard deviation to the standard output device as well as to a file called output.dat. Note, if the grades are X, X2, X3, x4, and x5, then the average is: X = (X + x + x3 + x4+x5) + 5 and the standard deviation is: S= (x-x) + (x-x) + (x3x) + (x4-X) + (x5 - x) n Write a C++ program that reads a list of students 'grades from a file called students.dat. The program should read the grades, store them in a container (vector or array) and then compute the average and the standard deviation of the list of grades. The program should output the average and the standard deviation to the standard output device as well as to a file called output.dat. Note, if the grades are X, X2, X3, x4, and x5, then the average is: X = (X + x + x3 + x4+x5) + 5 and the standard deviation is: S= (x-x) + (x-x) + (x3x) + (x4-X) + (x5 - x) n Write a C++ program that reads a list of students 'grades from a file called students.dat. The program should read the grades, store them in a container (vector or array) and then compute the average and the standard deviation of the list of grades. The program should output the average and the standard deviation to the standard output device as well as to a file called output.dat. Note, if the grades are X, X2, X3, x4, and x5, then the average is: X = (X + x + x3 + x4+x5) + 5 and the standard deviation is: S= (x-x) + (x-x) + (x3x) + (x4-X) + (x5 - x) n