Mathematics Question

Question

What is 2.26 Grade Point Average percentage out of 100

Answer 1

72.6 % on a scale of 0 to 100% is the equivalent of a GPA of 2.26 on a letter scale of F to A

2.26 = C -

C starts at 2.00 and become B at 3.00

2.26 is 26% of the way from C- to B-,

C-=70 add 26% of 10 = 70+2.6 = 72.6%

A=4.0 = max

B=3.0

C=2.0

D=1.0

F=0.0 = anywhere from 0 to 59.9 on a percentage scale

the intervals of the letters are equal for D through A, but F has an interval 6 times the other letters

you might be tempted to do proportions 2.26/4 = x/100

but that ignores the interval problem

x = 226/4 = 56.5% would be correct if the intervals were equal, if there were letter grades

A through K each spanning an interval of 10%

2.26 is about average for letter grades

so you expect about average for numerical grades,

but the GPA = Grade Point Average using C=70 = about the average, not (100+0)/2 = 50% as the average