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A. (5) The ages of participants in a school's talent contest are listed below. 16 17 18 16 15 16 17 15 18 14 17 19 18 16 17 17 17 14 15 18 Use technology to answer the questions. a) Plot a histogram of the data. b) Calculate the mean and standard deviation. c) What would happen to the standard deviation if the first person's age were 18? d) What would happen to the standard deviation if the second person's age were 16 instead of 17? e) What would happen to the standard deviation if each person were one year older? f) Which ages are more than one standard deviation from the mean