一、(50%)

1. (20%) There are data sets of the heights (in inches) and weights (in pounds) of the members of a basketball team. Suppose the percentage of the heights of players between 68.6375 and 76.8625 is at least 36%, and the percentage of the weights of players between 170.14 and 205.52 is approximately 68%. Find the means and standard deviations of the heights and weights for this condition. Find the coefficients of variation of the heights and weights for each data set of the members of a basketball team. What assumptions and Theorems/ Rules do you apply to analyze these data sets? What can you conclude?