It has three tests, all of which count towards the final grade. You are provided with scores from all the tests from both semesters. You are required to compute summary statistics (mean and standard deviation) for each test, for both the semesters. These statistics would be used by the college to see if the student groups from the two semesters are different. You are given the following information to help you write your program: 1) The number of tests is three per semester 2) There are two semesters for which you need to compute the statistics 3) There are five students in the class, each time it is offered. 4) The following are the scores:
Test 1 Test 2 Test 3 Test 1 Test 2 Test 3 Student 1 15 20 15 20 15 20 Student 2 14 21 14 21 14 21 Student 3 13 22 13 22 13 22 Student 4 14 21 14 21 14 21 Student 5 15 20 15 20 15 20
The following are the formulae for mean and standard deviation:
? mean = (x1 + x2 + x3 + x4 + x5)/5
? std. dev. = Sqrt( (sum(xi2) ? ( (sum (xi))2/5) )/4)
To solve the above problem, use the following:
? One or more arrays to hold data on 5 students, 3 tests, 2 statistics for 2 semesters.
5 points. An additional 5 points would be given if you use one array instead of two.
? Use methods to compute each statistic ( a method to compute the mean and another to compute the standard deviation).
? If you think they are needed, you may create additional methods. Note: You do not have to create any specific classes for modeling tests or students. However, you may do so, if you want to solve the problem using such classes.