You measure the distance, l, a projectile travels several timesusing the same apparatus and find the following values (cm): 5.11,4.89, 5.04, 4.94, 4.93, 5.06 and 5.09. Assuming that the errors arerandom: a) What is the mean value forl? b) What is the standarddeviation for this data set? c) What is the uncertainty associatedwith your best estimate forl? d) How should one report the resultof this measurement along with the uncertainty at the 95 %confidence level? e) If you desire to reduce the statisticaluncertainty associated with the reported result using the sameapparatus to be only 0.01 cm, how many measurements must bemade?
