Enter the frequency of the mode (# of cases) and the total number of cases into the Variation Ratio Calculator. The calculator will evaluate and display the Variation Ratio. 

Variation Ratio Formula

The following formula is used to calculate the Variation Ratio. 

v = 1- (f/N)
  • Where v is the Variation Ratio
  • f is the frequency of the mode (# of cases) 
  • N is the total number of cases 

To calculate the variation ratio, subtract the result of the frequency divided by the total number of cases from 1.

How to Calculate Variation Ratio?

The following example problems outline how to calculate Variation Ratio.

Example Problem #1:

  1. First, determine the frequency of the mode (# of cases).
    • The frequency of the mode (# of cases) is given as: .55.
  2. Next, determine the total number of cases.
    • The total number of cases is provided as: 1.
  3. Finally, calculate the Variation Ratio using the equation above: 

v = 1- (f/N)

The values given above are inserted into the equation below and the solution is calculated:

v = 1- (.55/1) = ( .45 )


Example Problem #2: 

For this problem, the variables required are provided below:

frequency of the mode (# of cases) = 60

total number of cases = 100

Test your knowledge using the equation and check your answer with the calculator above.

v = 1- (f/N) = ?