a population of scores with u 73 and standard deviation 20

a population of scores with u = 73 and standard deviation = 20 is standardized to create a new population with u = 50 and standard deviation = 10. what is the new value for each of the following scores from the original population? scores: 63, 65, and 83

Solution

(X-mu)/s = (63-73)/20 =-0.5

So new value : (X-50)/10 =-0.5

--> X= 50 -0.5*10 =45

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(X-mu)/s = (65-73)/20 =-0.4

So new value : (X-50)/10 =-0.4

--> X= 50-0.4*10 =46

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(X-mu)/s = (83-73)/20 =0.5

So new value : (X-50)/10 =0.5

--> X= 50 +0.5*10 =55