For a given distribution the average is 15.5 and the standard deviation is 1.5. if a sample is taken at random, which value is most likely? 20.2 10.1 16.3 12.9

The standard deviation is  the square root of the variance.The variance is  the average squared deviation of each number from its mean.

The given  average 15.5   standard deviation 1.5.

The  range will be in between the sum and difference of the average and standard deviation.= 15.5+1.5= 17 and 15.5-1.5= 14.

The numbers should be  be between 14 and 17 so as to have standard Deviation of 15. Among the given options 16.3 lie between 14 and 17 and hence the correct answer.

its a trick question

step-by-step explanation:

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b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )