Question 1.109
1.109 Are the NAEP mathematics scores approximately Normal? Refer to the previous exercise. For the NAEP mathematics scores for 12th-graders, the mean is 153 and the standard deviation is 34. Here are the reported percentiles:
| Percentile | Score |
|---|---|
| 10% | 110 |
| 25% | 130 |
| 50% | 154 |
| 75% | 177 |
| 90% | 197 |
Is the N(153,34) distribution a good approximation for the NAEP mathematics scores? Write a short report describing your methods and conclusions.