'''
Created on Aug 11, 2016

@author: lrodriguez
'''

grades = [100, 100, 90, 40, 80, 100, 85, 70, 90, 65, 90, 85, 50.5]

def print_grades(grades):
    for grade in grades:
        print (grade)

def grades_sum(grades):
    total = 0
    for grade in grades:
        total += grade
    return total

def grades_average(grades):
    sum_of_grades = grades_sum(grades)
    average = sum_of_grades / float(len(grades))
    return average

def grades_variance(scores):

    average = grades_average(scores)

    variance = 0

    for score in scores:
        variance += (average - score) ** 2



        totalVariance = variance / len(scores)

    return totalVariance

#print (grades_variance(grades))

def grades_std_deviation(variance):
    return variance ** 0.5

variance = grades_variance(grades)

#print (grades_std_deviation(variance))

#all stats printed
print ("All exam scores: \n", print_grades(grades))
print ("Grade Total:", grades_sum(grades))
print ("Grade Average:", grades_average(grades))
print ("Grade Variance:", grades_variance(grades))
print ("Grade Deviation:", grades_std_deviation(variance))