Enter the mean, the total score, and the standard deviation into the Z Ratio Calculator. The calculator will evaluate and display the Z Ratio.
Z Ratio Formula
The following formula is used to calculate the Z Ratio.
ZR = (M-S) / SD
- Where ZR is the Z Ratio ( )
- M is the mean
- S is the total score
- SD is the standard deviation
How to Calculate Z Ratio?
The following example problems outline how to calculate Z Ratio.
Example Problem #1
- First, determine the mean.
- The mean is calculated to be : 5.
- Next, determine the total score.
- The total score is measured to be: 2.
- Next, determine the standard deviation.
- The standard deviation is found to be: 1.5.
- Finally, calculate the Z Ratio using the formula above:
ZR = (M-S) / SD
The values given above are inserted into the equation below and the solution is calculated:
ZR = (5-2) / 1.5 = 2
Example Problem #2
The variables required for this problem are provided below:
mean = 6
total score = 4
standard deviation = 1.35
Test your knowledge using the equation and check your answer with the calculator above.
ZR = (M-S) / SD = ( )
