3. Let {x1, x2,...,xn} be a list of numbers and let ¯ x denote the average...

Question

Question

3. Let {x1, x2,...,xn} be a list of numbers and let ¯ x denote the average of the list. Let a and b

be two constants, and for each i such that 1 ≤ i ≤ n, let yi = axi + b. Consider the new list

{y1,y2,...,yn}, and let the average of this list be ¯ y. Prove a formula for ¯ y in terms of a, b, and ¯ x.

4. Let n be a positive integer. Consider the list of even numbers {2,4,6,...,2n}. What is the

average of this list? Prove your answer.

Answer 1

Answer #1

Answer 2

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