How to Calculate Standard Deviation from a Confidence Interval Explained

Learn how to easily calculate standard deviation from a confidence interval using the Z-score formula, perfect for 95% confidence intervals.

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Yes, you can calculate standard deviation from a confidence interval. Use the formula: (Upper limit - Lower limit) / (2 * Z), where Z is the Z-score, which is 1.96 for a 95% confidence interval. Plug in your values and solve.

FAQs & Answers

  1. What is the formula to find standard deviation from a confidence interval? The formula is (Upper limit - Lower limit) divided by (2 times the Z-score). For a 95% confidence interval, the Z-score is 1.96.
  2. Can I use this method for confidence intervals other than 95%? Yes, but you need to use the appropriate Z-score for the confidence level you are working with.
  3. Why is the Z-score 1.96 for a 95% confidence interval? Because 1.96 is the critical value that corresponds to the central 95% area under the normal distribution curve.

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