library(ggplot2)
Grades <- c(87, 85, 85, 85, 88, 90, 79, 74, 86, 88, 83, 87, 90, 84, 74, 78,
80, 52, 96, 75, 83, 79)
summary(Grades)
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 52.0 79.0 84.5 82.2 87.0 96.0
c <- qplot(Grades, main = "Midterm 3 Grade Distribution", binwidth = 5)
c + geom_histogram(fill = "darkgray", color = "black", binwidth = 5)
| Problem | Average | % Perfect | Concept |
|---|---|---|---|
| 1 | 89.09% | 40.91% | Chain rule |
| 2 | 76.14% | 13.64% | Tangent planes & approximations |
| 3 | 90.53% | 59.09% | 2nd derivative test |
| 4 | 78.41% | 31.82% | Critical points |
| 5 | 91.48% | 81.82% | Total differential |
| 6 | 79.55% | 27.27% | Gradient vector |
| 7 | 76.52% | 27.27% | Directional derivatives and gradients |
| 8 | 81.82% | 81.82% | Contour plots |
| 9 | 78.98% | 18.18% | Partial derivatives concepts |
| 10 | 81.44% | 45.45% | Constrained optimization, Lagrange multipliers |