- (a) Sketch a scatter diagram of a dataset for which Spearman's rank correlation coefficient is + 1 , but the product moment correlation coefficient is less than 1 .
Two judges were judging cheese at the UK Cheese Festival. There were 8 blue cheeses in a particular category. The rankings are shown below.
| Cheese | A | B | C | D | E | F | G | H |
| Judge 1 | 1 | 5 | 8 | 7 | 6 | 4 | 3 | 2 |
| Judge 2 | 1 | 3 | 8 | 5 | 2 | 4 | 6 | 7 |
(b) Calculate Spearman's rank correlation coefficient for this dataset.
(c) By sketching a scatter diagram of the rankings, or otherwise, comment on the extent to which the judges agree.