library(ggplot2)
Grades <- c(65, 89, 60, 87, 76, 68, 53, 94, 85, 91, 73, 99, 79, 89, 73, 86,
64, 75, 82, 76, 56, 67, 59, 95, 71, 75, 80, 95, 96, 70, 79, 95, 78, 68,
67, 87, 93, 83, 95, 90, 92, 84, 59, 60, 52, 80, 84, 76, 67, 76)
summary(Grades)
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 52.0 68.0 78.5 77.9 88.5 99.0
c <- qplot(Grades, main = "Midterm 2 Grade Distribution", binwidth = 5)
c + geom_histogram(fill = "darkgray", color = "black", binwidth = 5)
| Problem | Average | % Perfect | Concept |
|---|---|---|---|
| 1 | 71.75% | 26% | Conditional probability and two-way tables |
| 2 | 71.67% | 56% | Expected value |
| 3 | 81.50% | 46% | Binomial distribution probability histogram |
| 4 | 62.00% | 62% | Central limit theorem |
| 5 | 96.00% | 96% | Probability distributions |
| 6 | 93.50% | 84% | Tree diagrams |
| 7 | 75.83% | 26% | Sampling distribution of the sample mean |
| 8 | 72.75% | 24% | Binomial distribution |
| 9 | 69.00% | 36% | Cumulative distribution functions |
| 10 | 73.00% | 52% | Expected value |
| 11 | 98.00% | 94% | Tree diagrams |