# Question: The three data sets have the same mean and range

The three data sets have the same mean and range, but is the variation the same? Prove your answer by computing the standard deviation. Assume the data were obtained from samples.

a. 5, 7, 9, 11, 13, 15, 17

b. 5, 6, 7, 11, 15, 16, 17

c. 5, 5, 5, 11, 17, 17, 17

a. 5, 7, 9, 11, 13, 15, 17

b. 5, 6, 7, 11, 15, 16, 17

c. 5, 5, 5, 11, 17, 17, 17

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