How to Calculate the Standard Deviation of 12, 6, 7, 3, 15, 10, 18, 5

Learn how to find the standard deviation of the numbers 12, 6, 7, 3, 15, 10, 18, and 5 with a step-by-step example.

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What is the standard deviation of the numbers 12, 6, 7, 3, 15, 10, 18, 5? To find this, calculate the mean (9.5), compute squared differences from the mean, average those, and take the square root. The standard deviation is 5.43.

FAQs & Answers

  1. What is the formula for standard deviation? The standard deviation is calculated by finding the square root of the average of the squared differences from the mean.
  2. Why is standard deviation important in statistics? Standard deviation measures the amount of variation or dispersion in a set of values, helping to understand data spread.
  3. How do you calculate the mean for standard deviation? To calculate the mean, add all numbers in the set and divide by the total count of numbers.