12.35 and s are not enough. The mean and standard deviation s measure center and variability but are not a complete description of a distribution. Data sets with different shapes can have the same mean and standard deviation. To demonstrate this fact, use your calculator to find and s for these two small data sets. Then make a stemplot of each and comment on the shape of each distribution.
| Data A: | 9.14 | 8.14 | 8.74 | 8.77 |
| Data B: | 6.58 | 5.76 | 7.71 | 8.84 |
| Data A: | 9.26 | 8.10 | 6.13 | 3.10 |
| Data B: | 8.47 | 7.04 | 5.25 | 5.56 |
| Data A: | 9.13 | 7.26 | 4.74 | 0.00 |
| Data B: | 7.91 | 6.89 | 12.50 | 0.00 |