sandy wrote:

Each of the following linear equations defines y as a function of x for all integers x from 1 to 100. For which of the following equations is the standard deviation of the y-values corresponding to all the x-values the greatest?

A. \(y = \frac{x}{3}\)

B. \(y = \frac{x}{2}+40\)

C. \(y = x\)

D. \(y = 2x +50\)

E. \(y = 3x - 20\)

Practice Questions

Question: 11

Page: 121

Let's plug in some values of x (from 1 to 100) to see what these sets look like. I'll plug in x = 1, 2, 3, 4 and 99 and 100

We get:

A) {1/3, 2/3, 3/3, 4/3, . . . 99/3 , 100/3}

B) {1/2, 2/2, 3/2, 4/2, . . . 99/2 , 100/2}

C) {1, 2, 3, 4, . . . 99, 100}

D) {52, 54, 56, 58, . . . 248, 250}

E) {-17, -14, -11, -8, . . . 277, 280}

At this point, we can see that E has the greatest dispersion. That is,

set E deviates the most from the mean.

Cheers,

Brent

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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