Question

Calculate raw scores from the following z-scores. The mean of the original dataset was 10, and the standard deviation was 3.

1. What is the raw score for a z-score of -2.89?

2. What is the raw score for a z-score of +0.74?

3. What is the raw score for a z-score of +1.18?

4. What is the raw score for a z-score of -0.94?

5. What is the raw score for a z-score of -1.26?

Answer 1

1)

z=(x-µ)/σ                  
so, X=zσ+µ=   -2.890   *   3   +   10
X   =   1.330   (answer)      

2)

z=(x-µ)/σ                  
so, X=zσ+µ=   0.740   *   3   +   10
X   =   12.220   (answer)      

3)

z=(x-µ)/σ                  
so, X=zσ+µ=   1.180   *   3   +   10
X   =   13.54   (answer)      

4)

z=(x-µ)/σ                  
so, X=zσ+µ=   -0.940   *   3   +   10
X   =   7.18   (answer)      

5)

z=(x-µ)/σ                  
so, X=zσ+µ=   -1.260   *   3   +   10
X   =   6.22   (answer)