How to Calculate the Standard Deviation of 40, 42, and 48

Learn how to find the standard deviation of the numbers 40, 42, and 48 using step-by-step calculations and the standard deviation formula.

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The standard deviation of the numbers 40, 42, and 48 is 4.1633. Use the formula: ![σ = sqrt((Σ(xi - μ)²) / N)], where μ is the mean. First, find the mean (43.33), then calculate each number's squared deviation from the mean, sum them, divide by the number of values (3), and take the square root.

FAQs & Answers

  1. What is standard deviation in statistics? Standard deviation is a measure of the amount of variation or dispersion in a set of values.
  2. How do you calculate the mean for standard deviation? To calculate the mean, add all the numbers together and divide by the total number of values.
  3. Why do we square the deviations when calculating standard deviation? Squaring the deviations prevents positive and negative differences from canceling out and emphasizes larger deviations.
  4. What is the difference between sample and population standard deviation? Population standard deviation divides the sum of squared deviations by the total number of values, while sample standard deviation divides by one less than the number of values.

Watch More

For more insights on descriptive statistics, explore our tutorials on mean, variance, and other measures of spread to deepen your understanding of data analysis concepts.

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