Let A denote the average and M the median of the data set 5x1, x2, x3, . . . , xN 6. Let

Chapter 15, Problem 71

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QUESTION:

Let A denote the average and M the median of the data set 5x1, x2, x3, . . . , xN 6. Let c be any constant. (a) Find the average of the data set 5x1 + c, x2 + c, x3 + c, . . . , xN + c6 expressed in terms of A and c. (b) Find the median of the data set 5x1 + c, x2 + c, x3 + c, . . . , xN + c6 expressed in terms of M and c.

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QUESTION:

Let A denote the average and M the median of the data set 5x1, x2, x3, . . . , xN 6. Let c be any constant. (a) Find the average of the data set 5x1 + c, x2 + c, x3 + c, . . . , xN + c6 expressed in terms of A and c. (b) Find the median of the data set 5x1 + c, x2 + c, x3 + c, . . . , xN + c6 expressed in terms of M and c.

ANSWER:

Step 1 of 3

(a)

We are given the data set .

Average  expressed in terms of  and .

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