# Continuity Correction Calculator

## How to Use Continuity Correction Calculator?

To calculate the continuity correction factor, follow the below steps:

• Enter the “number of trials”.
• Enter the “number of successes”.
• Enter the “probability of success”.
• Hit the “Calculate” button to check the results.
• You can erase all the data by clicking on the “Reset” button

## Continuity Correction Calculator

The continuity Correction Calculator is used to check how to restate a binomial probability problem by applying normal distribution to approximate a binomial distribution.

## What is Continuity correction?

In statistics, continuity correction is used to approximate a discrete probability distribution. It is used to change a discrete random variable into a continuous random variable.

Generally, “0.5” is added and subtracted for the continuity correction from the discrete value.

## Example section:

In this section, the statistical examples are given to understand the method of finding the continuity correction factor:

Example 1:

Calculate the continuity correction factor if the number of successes is 75 out of 105 trials and the probability of success is 0.65.

Solution:

Step 1: Extract the data

Number of trials = N = 105

Number of successes = n = 75

Probability of success = p = 0.65

Step 2: Draw a table

 Using binomial distribution Continuity correction Approximated probability P (x = 75) P (74.5 < x < 75.5) 0.9329 − 0.9008 = 0.0321 P (x  75) P (x < 75.5) 0.9329 P (x < 75) P (x < 74.5) 0.9008 P (x 75) P (x > 74.5) 1 - 0.9008 = 0.0992 P (x > 75) P (x > 75.5) 1 - 0.9329 = 0.0671

Example 2:

Calculate the continuity correction factor if the number of successes is 64, the number of trials is 98, and the probability of success is 0.65.

Solution:

Step 1: Extract the data

Number of trials = N = 98

Number of successes = n = 64

Probability of success = p = 0.65

Step 2: Draw a table

 Using binomial distribution Continuity correction Approximated probability P (x = 64) P (63.5 < x < 64.5) 0.5631 − 0.4789 = 0.0842 P (x ≤ 64) P (x < 64.5) 0.5631 P (x < 64) P (x < 63.5) 0.4789 P (x ≥ 64) P (x > 63.5) 1 − 0.4789 = 0.5211 P (x > 64) P (x > 64.5) 1 − 0.5631 = 0.4369

## References:

What is continuity correction? | Statistics How To.

Continuity correction factor | cs.uni.edu

Overview to Continuity correction | Oxford Reference.