Enter the total in the ith row, total in the jth column, and grand total into the calculator to determine the expected frequency. The calculator is found below.

## Expected Frequency Formula

The following equation can be used to calculate the expected frequency of a contingency table.

E =( Ri + Cj )/ N

• Where E is the expected frequency
• Ri is the total in the ith row
• Cj is the total in the jth column
• N is the grand total

In the case of a contingency table, this expected frequency calculation must be performed on each cell. So if you have 32 rows and columns, you will need to do the calculation 32 times.

## Expected Frequency Definition

Expected frequencies, as opposed to observed frequencies, are theoretical probabilities of certain outcomes occurring. For example, if you were to pick one card from a deck of cards, your expected frequency of getting any given card would be 1/52 = .0192 = 1.92%.

Expected frequencies are most often used when analyzing contingency tables. You can see an example of this below.

## FAQ

What is an expected frequency?

An expected frequency is a term used in statistics to describe the probability count of a contingency table calculation.

How is expected frequency calculated?

An expected frequency is calculated using the formula above for each cell.