કોન્ફિડન્સ ઇન્ટરવલ કેલ્ક્યુલેટર

Calculate confidence intervals for your sample data with precision and ease.

Confidence Interval Calculator

Select the parameter type

Sample Mean (x̄)

Sample Size (n)

Standard Deviation (σ)(Population or Sample)

Confidence Level (%)

Population Standard Deviation Known?

Yes (Use Z-distribution) No (Use t-distribution)

About This Tool

Our confidence interval calculator helps you determine the range within which a population parameter (such as the mean or proportion) is likely to fall. Confidence intervals are a key concept in statistics, providing a measure of the uncertainty associated with your sample data.

Enter your sample statistics and select your desired confidence level to calculate the interval.

What is a Confidence Interval?

A confidence interval is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter. The confidence level (e.g., 95%) represents the proportion of intervals that would contain the true parameter if you were to take many samples.

For example, a 95% confidence interval means that if we were to take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true population parameter.

Formulas Used

Confidence Interval for Mean:

CI = x̄ ± (Z or t) * (σ/√n)

Where x̄ is the sample mean, Z or t is the critical value, σ is the standard deviation, and n is the sample size.

Confidence Interval for Proportion:

CI = p̂ ± Z * √(p̂(1-p̂)/n)

Where p̂ is the sample proportion, Z is the critical value, and n is the sample size.

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