How to Calculate the Standard Deviation of 5, 8, 7, 11, and 14

Learn step-by-step how to find the standard deviation of the numbers 5, 8, 7, 11, and 14 with an example calculation.

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To calculate the standard deviation of 5, 8, 7, 11, and 14, follow these steps: Find the mean (9), then calculate each number's deviation from the mean, square those deviations, average them, and take the square root. This results in a standard deviation of 3.32.

FAQs & Answers

  1. What is standard deviation in statistics? Standard deviation is a measure of how spread out numbers are in a data set, indicating the amount of variation or dispersion.
  2. How do you calculate the mean for standard deviation? To calculate the mean, add all numbers in the data set and divide by the total number of values.
  3. Why do we square the deviations when calculating standard deviation? Squaring the deviations removes negative values and emphasizes larger differences to accurately measure variability.

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