SOLUTION: I need your help please answer..."Supposed you have numbers 50 and 80 and a corresponding scores of -1 and 2. Is it possible to determine the population mean and standard deviation

Question 1088887: I need your help please answer..."Supposed you have numbers 50 and 80 and a corresponding scores of -1 and 2. Is it possible to determine the population mean and standard deviation? If so, what are those values? If not, explain why it is impossible." As soon as possible. thank you!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

m = population mean
s = standard deviation
z = z score
x = raw score

The z score formula is

If the raw score of 50 corresponds to the z score of -1, then we will have

Let's solve for s to get

Call this equation (1)

The other raw score of 80 corresponds to 2. So we'll plug z = 2 and x = 80 into the original z score formula

Then multiply both sides by 's'

Now plug in s = m-50 (see equation (1) above)

At this point, we have an equation with one variable. Let's solve for m

Now that we know m, we can find s
Go back to equation (1). Plug in m = 60

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In summary,

So the population mean is 60 and the standard deviation is 10

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