(a) Experiment X is carried out nine times identically, and the value 5 is obtained all nine times. Calculate the mean by definition (4-12), then the standard deviation by definition (4-13)
(b) Experiment Y is carried out nine times identically, and the integers 1 through 9 are each obtained once. Repeat the calculations of part (a) for this experiment
(c) For nine repetitions of experiment Z, the tally is that 1, 5, and 9 are each obtained three times. Repeat the calculations
(d) Explain any differences between the results in parts (b) and (c). Is standard deviation a reasonable measure of spread?
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