Confidence Interval Calculator
Free online confidence interval calculator. Calculate the lower and upper bounds and margin of error for a given sample mean.
Confidence Interval Calculator
Confidence Interval (95%)
Lower Bound
95.8422Upper Bound
104.1578We are 95% confident that the true population mean falls within this range.
Margin of Error (E)± 4.1578
What is a Confidence Interval?
A confidence interval displays the probability that a parameter will fall between a pair of values around the mean. It measures the degree of uncertainty or certainty in a sampling method.
Margin of Error
The Margin of Error (MOE) represents the radius of the confidence interval. It is calculated by multiplying the Critical Value (Z-score for normal distribution) by the Standard Error of the sample.
- Higher Confidence Level: Results in a larger Margin of Error and a wider Confidence Interval.
- Larger Sample Size (n): Results in a smaller Margin of Error and a narrower Confidence Interval, indicating greater precision.