Hockey pucks used in professional hockey games must weigh between 5.5 and 6 ounces. if the weight of pucks manufactured by a par
ticular process is bell-shaped and has mean 5.75 ounces, how large can the standard deviation be if 99.7% of the pucks are to be usable in professional games?
Solution: The weight of pucks manufactured by a particular process is bell-shaped and has mean 5.75 ounces
Therefore, we can use the Empirical Rule to find the standard deviation. Empirical Rule states that approximately 99.7% of all observations fall within three standard deviations of the mean.
Also we know that the acceptable range is between 5.5 and 6
So
Also
So if 99.7% of the pucks are to be usable in professional games, the standarddeviation should be 0.083.
The median or the mode which is three, but not the average because there is an outlier in the set, which is 19 and would skew the data higher than it should be.