Expected Frequency Calculator | Find Expected Counts for Chi-Square Tests

The Expected Frequency Calculator is a statistical tool that assists in determining the expected number of occurrences of an event or outcome within a given sample or population. It is commonly used in statistical analysis, research studies, and probability calculations.

Expected Frequency Calculator – Instantly Find Expected Counts for Chi-Square Tests

Row Total * Enter the total count for the row (e.g., number of observed in a category).

Column Total * Enter the total count for the column (e.g., number of observed in another category).

Grand Total * Enter the total count for all observations (must be greater than 0).

Decimal Places 2 (default) 0 1 3 4 Choose how many decimal places to show in the result.

Observed Frequency (optional) If you enter an observed value, we'll also show the difference from expected.

Example Presets:

Row: 30, Col: 40, Grand: 100, Obs: 12

Row: 50, Col: 25, Grand: 200, Obs: 6

Row: 12, Col: 18, Grand: 60, Obs: 4

Row: 100, Col: 75, Grand: 500, Obs: 20

Row: 22, Col: 33, Grand: 110, Obs: 8

Calculate Reset

Calculating...

Fun Fact:

Our team converts drinks into code — fuel us to build more free tools!

Cite or Embed

Copy Citation

Copy Link

Copy Embed Code

“Linking and sharing helps support free tools like this — thank you!”

The calculator relies on three main parameters: the observed frequency, the total frequency, and the probability. The observed frequency represents the number of times a particular event or outcome has been observed or recorded. The total frequency refers to the total number of observations or occurrences in the sample or population. The probability denotes the likelihood or chance of the event or outcome happening.

To calculate the expected frequency, the calculator employs the following formula:

Expected Frequency = (Observed Frequency / Total Frequency) * Probability

The formula calculates the expected number of occurrences based on the observed frequency, the total frequency, and the probability. It allows researchers, statisticians, or analysts to estimate the expected frequency of an event or outcome under a specific probability distribution or set of conditions.

The Expected Frequency Calculator is valuable in various fields, including social sciences, market research, and quality control. It enables researchers to compare observed frequencies with expected frequencies, aiding in hypothesis testing, evaluating statistical significance, and detecting deviations from expected patterns.

By utilizing the Expected Frequency Calculator, individuals can gain insights into the likelihood of specific events or outcomes occurring within a given population. It helps in understanding the expected distribution and patterns, facilitating decision-making processes and informing further statistical analysis.

Overall, the Expected Frequency Calculator provides a powerful statistical tool for estimating the expected frequency of events or outcomes. It assists researchers, analysts, and statisticians in analyzing data, conducting experiments, and drawing meaningful conclusions based on probabilities and observed frequencies.