How to Calculate Standard Deviation for Data Set 21, 16, 13, 11, 9, 14, 8, 14

Learn step-by-step how to calculate the standard deviation of the data set 21, 16, 13, 11, 9, 14, 8, 14 with easy-to-follow instructions.

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To calculate the standard deviation for the data set 21, 16, 13, 11, 9, 14, 8, 14: 1. Find the mean (13.25). 2. Subtract the mean from each number, square the result. 3. Calculate the average of these squared differences (9.69). 4. Take the square root of this average. The standard deviation is approximately 3.11.

FAQs & Answers

  1. What is the formula to calculate standard deviation? The formula for standard deviation involves finding the square root of the average of the squared deviations from the mean.
  2. Why do we subtract the mean when calculating standard deviation? Subtracting the mean from each data point measures how far each point deviates from the average, which is essential for calculating data variability.
  3. How does standard deviation help in data analysis? Standard deviation indicates how spread out the data points are around the mean, helping in assessing data variability and consistency.

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