Margin of Error Calculator

Calculate the margin of error for a confidence interval given the z-value, standard deviation, and sample size.

Margin of Error

2.3520

Standard Error1.2000
Relative Margin (%)19.6000

Margin of Error vs Z-Value

सूत्र देखें →

सूत्र

## How to Calculate Margin of Error ### Formula **E = z * (sigma / sqrt(n))** The margin of error is the half-width of the confidence interval. It depends on three factors: the confidence level (via z), the variability of the data (sigma), and the sample size (n). A smaller margin of error means a more precise estimate.

हल किया गया उदाहरण

z = 1.96, SD = 12, n = 100. What is the margin of error?

  1. 01Standard Error = 12 / sqrt(100) = 12 / 10 = 1.2
  2. 02Margin of Error = 1.96 * 1.2 = 2.352
  3. 03The sample mean will be within +/- 2.352 of the population mean with 95% confidence.