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Confidence Interval for the Mean Calculator

Enter N Enter X Enter σ or s Enter Confidence Interval % Rounding Digits
   

How does the Confidence Interval for the Mean Calculator work?

Calculates a (90% - 99%) estimation of confidence interval for the mean given a small sample size using the student-t method with (n - 1) degrees of freedom or a large sample size using the normal distribution Z-score (z value) method including Standard Error of the Mean. confidence interval of the mean
This calculator has 5 inputs.

What 1 formula is used for the Confidence Interval for the Mean Calculator?

  1. SE = σ/√n

For more math formulas, check out our Formula Dossier

What 6 concepts are covered in the Confidence Interval for the Mean Calculator?

confidence interval
a range of values so defined that there is a specified probability that the value of a parameter lies within it.
confidence interval for the mean
a way of estimating the true population mean
degrees of freedom
number of values in the final calculation of a statistic that are free to vary
mean
A statistical measurement also known as the average
sample size
measures the number of individual samples measured or observations used in a survey or experiment.
standard error of the mean
measures how far the sample mean (average) of the data is likely to be from the true population mean
SE = σ/√n

Example calculations for the Confidence Interval for the Mean Calculator

  1. c=0.99, s=36, n=18, x=20
  2. c=0.95, s=30, n=12, x=24



Confidence Interval for the Mean Calculator Video