How to Calculate the Standard Deviation of the Data Set 8, 10, 15, 24, 28

Learn the step-by-step method to calculate the standard deviation of the numbers 8, 10, 15, 24, and 28 with an example.

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The standard deviation of the dataset 8, 10, 15, 24, and 28 is approximately 7.76. First, find the mean (17), then calculate each value’s deviation from the mean, square those deviations, find the average of the squared deviations, and take the square root of that average.

FAQs & Answers

  1. What is the formula for standard deviation? The formula for standard deviation is the square root of the average of the squared differences from the mean.
  2. How do you calculate the mean of a data set? To calculate the mean, sum all the data points and then divide by the number of points.
  3. Why is standard deviation important in statistics? Standard deviation measures how spread out numbers are in a data set, indicating the variability or consistency of the data.

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