QUESTIONS
1. Calculate the median point in the following distribution of eighth-grade composition scores on the Hillegas scale.
| Quality | 0 | 18 | 26 | 37 | 47 | 58 | 67 |
| Frequency | 2 | 68 | 73 | 3 |
2. Calculate the median point in the following distribution of third-grade scores on the Woody subtraction scale.
| No. problems | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | 24 | + |
| Frequency | 2 | 2 | 2 | 3 | 3 | 5 | 4 | 5 | 8 | 16 | 16 | 16 | 23 | 20 | 21 | 11 | 22 | 11 | 2 | 1 |
3. Compare statistically the achievements of the children in two eighth-grade classes whose scores on the Courtis addition tests were as follows:
Class A--6, 5, 8, 9, 7, 10, 13, 4, 8, 7, 8, 7, 6, 8, 15, 6, 7, 0, 6, 9, 5, 8, 7, 10, 8, 4, 7, 8, 6, 9, 5, 7, 2, 6, 8, 5, 7, 8, 7, 8, 5, 8, 10, 6, 3, 6, 8, 17, 5, 7.
Class B--10, 4, 8, 13, 11, 9, 8, 10, 7, 9, 11, 10, 18, 7, 12, 9, 10, 8, 11, 10, 12,
9, 2, 11, 8, 10, 9, 14, 11, 7, 10, 12, 10, 6, 11, 8, 10, 9, 10, 17, 8, 11,
9, 7, 9, 11, 8, 12, 9, 13.
4. If the marks received in algebra and in geometry by a group of high school pupils were as given below, what relationship is indicated by the coefficient of correlation?
| Geometry Marks | Algebra Marks | |
|---|---|---|
| 1. | 80 | 60 |
| 2. | 68 | 73 |
| 3. | 65 | 80 |
| 4. | 96 | 80 |
| 5. | 59 | 62 |
| 6. | 75 | 65 |
| 7. | 90 | 75 |
| 8. | 86 | 90 |
| 9. | 52 | 63 |
| 10. | 70 | 55 |
| 11. | 63 | 54 |
| 12. | 85 | 95 |
| 13. | 93 | 90 |
| 14. | 87 | 70 |
| 15. | 82 | 68 |
| 16. | 79 | 75 |
| 17. | 78 | 86 |
| 18. | 79 | 75 |
| 19. | 82 | 60 |
| 20. | 70 | 82 |
| 21. | 52 | 86 |
| 22. | 94 | 85 |
| 23. | 72 | 73 |
| 24. | 53 | 62 |
| 25. | 94 | 85 |
5. Compare the abilities of the 10-year-old pupils in the sixth grade with the abilities of the 14-year-old pupils in the same grade, in so far as these abilities are measured by the completion of incomplete sentences.
(Note: 5 = 5.0-5.999.)
| No. Sentences Completed | 10-Year-Olds | 14-Year-Olds |
|---|---|---|
| 24 | -- | -- |
| 23 | -- | -- |
| 22 | -- | -- |
| 21 | 1 | -- |
| 20 | -- | -- |
| 19 | -- | -- |
| 18 | -- | -- |
| 17 | -- | 1 |
| 16 | 3 | -- |
| 15 | -- | 2 |
| 14 | 7 | 4 |
| 13 | 10 | 3 |
| 12 | 18 | 7 |
| 11 | 9 | 10 |
| 10 | 7 | 9 |
| 9 | 8 | 10 |
| 8 | 2 | 10 |
| 7 | 3 | 10 |
| 6 | -- | 2 |
| 5 | 2 | 3 |
| 4 | -- | 2 |
| 3 | -- | -- |
| 2 | -- | 1 |
| 1 | -- | -- |
| 0 | -- | -- |
6. From the scores given here, calculate the relationship between ability to spell and ability to multiply. Use the average as the central tendency.
| Pupil | Spelling | Multiplication |
|---|---|---|
| A | 9 | 22 |
| B | 10 | 16 |
| C | 2 | 19 |
| D | 6 | 14 |
| E | 13 | 24 |
| F | 8 | 22 |
| G | 10 | 17 |
| H | 7 | 20 |
| I | 3 | 21 |
| J | 2 | 21 |
| K | 14 | 20 |
| L | 8 | 18 |
| M | 7 | 23 |
| N | 11 | 25 |
| O | 8 | 25 |
| P | 17 | 24 |
| Q | 10 | 21 |
| R | 4 | 16 |
| S | 9 | 15 |
| T | 6 | 19 |
| U | 12 | 22 |
| V | 14 | 19 |
| W | 8 | 17 |
| X | 3 | 20 |
| Y | 11 | 18 |