📶 ئىشەنچلىك ئارىلىق ھېسابلىغۇچ

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confidence interval is a range that is likely to contain the true population mean, estimated from a sample. Instead of a single best guess it reports a band together with a confidence level that says how often such bands capture the true value. It reports the bounds, the margin of error and the standard error, and a table shows the interval at the 90%, 95% and 99% levels so you can see how the range widens as you demand more confidence.The confidence interval is a range that is likely to contain the true population mean, estimated from a sample.Instead of a single best guess it reports a band together with a confidence level that says how often such bands capture the true value.This calculator uses the z-interval: mean ± z*·(σ / √n), where z* is the standard-normal critical value for your chosen confidence level (1.645 for 90%, 1.96 for 95%, 2.576 for 99%) and σ / √n is the standard error. It reports the bounds, the margin of error and the standard error.This calculator uses the z-interval: mean ± z*·(σ / √n)Worked example: a sample mean of 100 with a standard deviation of 15 and 50 observations has a standard error of 15 ÷ √50 ≈ 2.12.This calculator uses the z-interval: mean ± z*·(σ / √n)Worked example: a sample mean of 100 with a standard deviationWorked example: a sample mean of 100 with a standard deviation of 15 and 50 observationsWorked example: a sample mean of 100 with a standard deviationWorked example: a sample mean of 100 with a standard deviation of 15 and 50 observationsWorked example: a sample mean of 100 with a standard deviationWorked example: a sample mean of 100 with a standard deviation of 100 and 100 observationsWorked example: a sample mean of 100 with a standard de