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

1. First, determine the mean.
• The mean is calculated to be : 5.
2. Next, determine the total score.
• The total score is measured to be: 2.
3. Next, determine the standard deviation.
• The standard deviation is found to be: 1.5.
4. 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