Question: (a) Calculate and s for the data 6, 8, 4, 9, 8. (b) Consider the data set 106, 108, 104, 109, 108, which is

(a) Calculate  and s for the data 6, 8, 4, 9, 8.
(b) Consider the data set 106, 108, 104, 109, 108, which is obtained by adding 100 to each number given in part (a). Use your results of part (a) and the properties stated in Exercises 2.52 and 2.74 to obtain the x and s for this modified data set. Verify your results by direct calculations with this new data set.
(c) Consider the data set-18, -24, -12, -27, -24, which is obtained by multiplying each number of part (a) by -3. Repeat the problem given in part (b) for this new data set.

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