Calculating Standard Deviation: Example with Numbers 3, 8, 12, 17, and 25

Learn how to calculate the standard deviation for a set of numbers with this step-by-step guide.

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To calculate the standard deviation for the numbers 3, 8, 12, 17, and 25: 1. Find the mean (15). 2. Subtract the mean from each number and square the result. 3. Find the average of these squared differences (54.4). 4. Take the square root of this average, yielding a standard deviation of 7.38.

FAQs & Answers

  1. What is standard deviation? Standard deviation is a measure of the amount of variation or dispersion in a set of values.
  2. Why is standard deviation important? It helps in understanding the spread of data points, identifying consistency and variability in a dataset.
  3. How do you find the mean of a dataset? The mean is found by adding all the numbers in a dataset and dividing by the total number of values.
  4. What is the difference between variance and standard deviation? Variance measures the average of the squared differences from the mean, while standard deviation is the square root of variance, providing a measure in the same unit as the data.

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