Mathematics

Stevenson

18 September, 09:52

Grades can be converted into numbers (as in calculating a GPA where an A=4, B=3, C=2, D=1, and F=0

x Grade 4 3 2 1 0

p (X) 0.20 0.25 0.30 0.10 0.15

a. verify that this is a legitimate probability distribution 0.20+0.25+0.30+0.10+0.15=1

b. Find the means grade for this class.

4X0.20=0.8

3X0.25=0.75

2X0.30=0.6

1X0.10=0.1

0X0.15=0.0

0.8+0.75+0.6+0.1+0.0=2.25

Find the standard deviation

c. 2.25/5=0.45