Commuter train regulations in a certain city require that the standard deviation of the difference between the actual arrival time and the scheduled arrival time should be small. The arrival times for each of 60 randomly selected stops were observed, and the difference, in minutes, between the actual arrival time and the scheduled arrival time was recorded. A negative value for this difference means that the train, arrived early. The data collected are summarized in the following histogram. Frequency 25 20- 15- 10- 5- 0 -8 4 16 24 8 -4 4 0 Difference in arrival time (in minutes) X 8 8 12 Based on this histogram, estimate the standard deviation of the sample of 60 time differences. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place. (If necessary, consult a list of formulas.)

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