2 Two independent assessors awarded marks to each of 5 projects. The results were as shown in the table.
| Project | \(A\) | \(B\) | \(C\) | \(D\) | \(E\) |
| First assessor | 38 | 91 | 62 | 83 | 61 |
| Second assessor | 56 | 84 | 41 | 85 | 62 |
- Calculate Spearman's rank correlation coefficient for the data.
- Show, by sketching a suitable scatter diagram, how two assessors might have assessed 5 projects in such a way that Spearman's rank correlation coefficient for their marks was + 1 while the product moment correlation coefficient for their marks was not + 1 . (Your scatter diagram need not be drawn accurately to scale.)