¶ … median and the measure of dispersion is the standard deviation. The mean and standard deviation were computed using the relevant formula.
Formula for the mean =?X/N
Group A
Group B
Based on the analysis of the statistical measures employed, I would choose group B. The rational for my choice is as follows: While the means of both groups are the same; thus suggesting that the groups would be equally good. The median for the group B. is closer to its mean. The median is a measure of the physical center of the distribution; extremely high or low scores do not influence it. The median for group B. is only 0.2 points higher than the mean. This indicates that there are fewer scores within group B. with the potential to influence the mean excessively. When a distribution contains scores that are much higher or lower than the mean they can inflate or deflate the value of the mean. In the group A, the median is lower than the mean by 3.2 points. It is possible to infer from that that there are low scores in the distribution that are deflating the value of the mean. These low scores represent persons whose handling skills for fragile material are weak and are a potential risk to the company. In group B, the handling skills of the group members are very similar.
Group B. also had the lower standard deviation 12.43 as compared to 22.71. The standard deviation is a measure of the difference in skill between the group, the larger the standard deviation, then the greater the quantum of difference between the scores. Since you must employ the entire group, it is an imperative that the chosen group has the smallest differences in their skill level. If the differences in skill level are too great, what may occur is that you have persons who are highly skilled doing a great job, but persons of poor skill doing a terrible job undermine this.
These measures provide an adequate tool for a statistical assessment of the two groups of individuals. AT-test would be a useful addition to the available tools used to assess the difference between the groups. The T-test would determine if the observed difference was significant or an artifact of chance.
