الرياضيات

Confidence Interval Calculator

Calculate the margin of error and confidence interval from a sample mean and standard deviation.

Confidence Interval
Margin of Error (±)
Lower Bound
Upper Bound
كيفية الاستخدام
  1. Enter your Sample Mean (the average of your data).
  2. Enter the Sample Size (how many data points you collected).
  3. Enter the Standard Deviation of your sample.
  4. Select your desired Confidence Level (95% is standard).
  5. The calculator determines the Margin of Error and the lower/upper bounds of where the true population mean likely lies.

الصيغة

Confidence Interval Formula:
CI = x̄ ± Z × (s / √n)

Where:
x̄ = Sample mean
Z = Z-score matching the confidence level
s = Standard deviation
n = Sample size

A Confidence Interval Calculator helps statisticians find a range of values that likely contains the true population mean. By combining the sample mean, standard deviation, and sample size, it generates a Margin of Error, giving context to the accuracy of sample data.