The amounts spent, S dollars, by six customers at a hairdressing salon yesterday were as follows. 12.50,

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The amounts spent, S dollars, by six customers at a hairdressing salon yesterday were as follows.

12.50, 15.75, 41.30, 34.20, 10.80, 40.85.

Each of the customers paid with a $50 note and each received the correct change, which is denoted by $C.

a. Find, in dollars, the value of S̅ + C̅ and of S̅ − C̅.

b. Explain why the standard deviation of S and the standard deviation of C are identical.

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