1.63 and are not enough
abdata
The mean and standard deviation measure center and spread 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, find and 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 | 9.26 | 8.10 |
| 6.13 | 3.10 | 9.13 | 7.26 | 4.74 | ||
| Data B: | 6.58 | 5.76 | 7.71 | 8.84 | 8.47 | 7.04 |
| 5.25 | 5.56 | 7.91 | 6.89 | 12.50 |
1.63
The means and standard deviations are the same. . . The stemplots (rounded to 1 decimal) show very different distributions. Data A is strongly left-skewed with a couple possible low outliers; Data B is equally distributed between 5 and 9 but has one high outlier at 12.5.