Distribution of Arrays in Successive Tenths of the Group When r = .70
| 10TH | 9TH | 8TH | 7TH | 6TH | 5TH | 4TH | 3D | 2D | 1ST | |
|---|---|---|---|---|---|---|---|---|---|---|
| 1st tenth | .2 | .7 | 1.5 | 2.8 | 4.8 | 8.0 | 13.0 | 22.3 | 46.7 | |
| 2d tenth | .2 | 1.2 | 2.6 | 4.5 | 7.0 | 9.8 | 13.4 | 17.3 | 21.7 | 22.3 |
| 3d tenth | .7 | 2.6 | 5.0 | 7.3 | 10.0 | 12.5 | 14.9 | 16.7 | 17.3 | 13.0 |
| 4th tenth | 1.5 | 4.5 | 7.3 | 9.8 | 12.0 | 13.7 | 14.8 | 14.9 | 13.4 | 8.0 |
| 5th tenth | 2.8 | 7.0 | 10.0 | 12.0 | 13.4 | 14.0 | 13.7 | 12.5 | 9.8 | 4.8 |
| 6th tenth | 4.8 | 9.8 | 12.5 | 13.7 | 14.0 | 13.4 | 12.0 | 10.0 | 7.0 | 2.8 |
| 7th tenth | 8.0 | 13.4 | 14.9 | 14.8 | 13.7 | 12.0 | 9.8 | 7.3 | 4.5 | 1.5 |
| 8th tenth | 13.0 | 17.3 | 16.7 | 14.9 | 12.5 | 10.0 | 7.3 | 5.0 | 2.6 | .7 |
| 9th tenth | 22.3 | 21.7 | 17.3 | 13.4 | 9.8 | 7.0 | 4.5 | 2.6 | 1.2 | .2 |
| 10th tenth | 46.7 | 22.3 | 13.0 | 8.0 | 4.8 | 2.8 | 1.5 | .7 | .2 |
TABLE 17
Distribution of Arrays of Successive Tenths of the Group When r = .50
| 10TH | 9TH | 8TH | 7TH | 6TH | 5TH | 4TH | 3D | 2D | 1ST | |
|---|---|---|---|---|---|---|---|---|---|---|
| 1st tenth | .8 | 2.0 | 3.2 | 4.6 | 6.2 | 8.1 | 10.5 | 13.9 | 18.0 | 31.8 |
| 2d tenth | 2.0 | 4.1 | 5.7 | 7.3 | 8.8 | 10.5 | 12.2 | 14.1 | 16.4 | 18.9 |
| 3d tenth | 3.2 | 5.7 | 7.4 | 8.9 | 10.0 | 11.2 | 12.3 | 13.3 | 14.1 | 13.9 |
| 4th tenth | 4.6 | 7.3 | 8.8 | 9.9 | 10.8 | 11.6 | 12.0 | 12.3 | 12.2 | 10.5 |
| 5th tenth | 6.2 | 8.8 | 10.0 | 10.8 | 11.3 | 11.5 | 11.6 | 11.2 | 10.5 | 8.1 |
| 6th tenth | 8.1 | 10.5 | 11.2 | 11.6 | 11.5 | 11.3 | 10.8 | 10.0 | 8.8 | 6.2 |
| 7th tenth | 10.5 | 12.2 | 12.3 | 12.0 | 11.6 | 10.8 | 9.9 | 8.8 | 7.5 | 4.6 |
| 8th tenth | 13.9 | 14.1 | 13.3 | 12.3 | 11.2 | 10.0 | 8.8 | 7.4 | 5.7 | 3.2 |
| 9th tenth | 18.9 | 16.4 | 14.1 | 12.2 | 10.5 | 8.8 | 7.3 | 5.7 | 4.1 | 2.0 |
| 10th tenth | 31.8 | 18.9 | 13.9 | 10.5 | 8.1 | 6.2 | 4.6 | 3.2 | 2.0 | .8 |
TABLE 18
Distribution of Arrays, in Successive Tenths of the Group When r = .0
| 10TH | 9TH | 8TH | 7TH | 6TH | 5TH | 4TH | 3D | 2D | 1ST | |
|---|---|---|---|---|---|---|---|---|---|---|
| 1st tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 2d tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 3d tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 4th tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 5th tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 6th tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 7th tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 8th tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 9th tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10th tenth | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
The significance of any coefficient of correlation depends upon the group of individuals for which it is determined. A correlation of .40 between computation and problem-solving in eighth-grade pupils of 14 years would mean a much closer real relation than a correlation of .40 in all 14-year-olds, and a very, very much closer relation than a correlation of .40 for all children 8 to 15.