x and s are not enough. The mean x and standard deviation s 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, use your calculator to find x 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 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