Enter the number of elements in set A, the number of elements in set B, and the number of intersecting elements into the Jaccard Coefficient Calculator. The calculator will evaluate and display the Jaccard Coefficient. 

Jaccard Coefficient Formula

The following formula is used to calculate the Jaccard Coefficient.

JC = Ni / (Na+Nb-Ni)
  • Where JC is the Jaccard Coefficient
  • Na is the number of elements in set A 
  • Nb is the number of elements in set B 
  • Ni is the number of intersecting elements 

To calculate the Jaccard coefficient, divide the number of intersecting elements by the result of the number of elements in set A plus the number of elements in set B minus the number of intersection elements.

How to Calculate Jaccard Coefficient?

The following example problems outline how to calculate Jaccard Coefficient.

Example Problem #1

  1. First, determine the number of elements in set A.
    • The number of elements in set A is calculated to be : 4.
  2. Next, determine the number of elements in set B.
    • The number of elements in set B is measured to be: 5.
  3. Next, determine the number of intersecting elements.
    • The number of intersecting elements is found to be: 2.
  4. Finally, calculate the Jaccard Coefficient using the formula above: 

JC = Ni / (Na+Nb-Ni)

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

JC = 2 / (4+5-2) = 2.857

Example Problem #2

The variables needed for this problem are provided below:

number of elements in set A = 7

number of elements in set B = 10

number of intersecting elements = 3

This example problem is a test of your knowledge on the subject. Use the calculator above to check your answer. 

JC = Ni / (Na+Nb-Ni) = (${Main Units})