Enter the observed value and expected value into the calculator to determine the continuity correction.

Continuity Correction Formula

The following formula is used to calculate the continuity correction.

CC = |x - μ| - 0.5


  • CC is the continuity correction x is the observed value μ is the expected value

To calculate the continuity correction, subtract the expected value from the observed value. Take the absolute value of the result. Then subtract 0.5 from the absolute value.

What is a Continuity Correction?

A continuity correction is a mathematical adjustment used when a discrete distribution is approximated by a continuous distribution. It is often used in probability theory and statistics, particularly when a normal distribution approximates a binomial distribution. The correction involves adding or subtracting 0.5 from the discrete value to better approximate the continuous distribution. This adjustment helps to improve the accuracy of the approximation, especially for small sample sizes.

How to Calculate Continuity Correction?

The following steps outline how to calculate the Continuity Correction (CC).

  1. First, determine the observed value (x).
  2. Next, determine the expected value (μ).
  3. Next, use the formula CC = |x – μ| – 0.5 to calculate the Continuity Correction.
  4. Finally, calculate the Continuity Correction.
  5. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem:

Use the following variables as an example problem to test your knowledge.

observed value (x) = 10

expected value (μ) = 8