Consider the data set 1, 2, 3, 4, 5, 6, 7, 8, 9. a. Obtain the mean and median of the data. b. Replace the 9 in the data set by 99 and again compute the mean and median. Decide which measure of center works better here, and explain your answer. c. For the data set in part (b), the mean is neither central nor typical for the data. The lack of what property of the mean accounts for this result?

Question

Consider the data set 1, 2, 3, 4, 5, 6, 7, 8, 9.

a. Obtain the mean and median of the data.

b. Replace the 9 in the data set by 99 and again compute the mean and median. Decide which measure of center works better here, and explain your answer.

c. For the data set in part (b), the mean is neither central nor typical for the data. The lack of what property of the mean accounts for this result?

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Statistics

Advanced Topics in Statistics