wikiHow Practice Problems to Find Standard Deviation 1. Find the standard deviation of the following set of numbers: 2, 4, 4, 4, 5, 5, 7, 9 2. Find the standard deviation of the following set of numbers: 1, 2, 3, 4, 5 3. Find the standard deviation of the following set of numbers: 2, 4, 6, 8, 10 4. Find the standard deviation of the following set of numbers: 3, 5, 7, 9, 11 5. Find the standard deviation of the following set of numbers: 6, 7, 8, 9, 10, 11, 12 6. Find the standard deviation of the following set of numbers: 5, 10, 15, 20, 25 7. Find the standard deviation of the following set of numbers: 3, 5, 7, 9, 11, 13 8. Find the standard deviation of the following set of numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9 9. Find the standard deviation of the following set of numbers: 2, 4, 6, 8, 10, 12, 14, 16 10. Find the standard deviation of the following set of numbers: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 To solve these problems, use the formula for standard deviation: * Calculate the mean of the set of numbers * Subtract the mean from each number to find the deviations * Square the deviations * Sum the squared deviations * Divide the sum by the number of elements in the set (or by n-1 if you are finding the sample standard deviation) * Take the square root of the result to find the standard deviation. * Note: You may use a calculator or spreadsheet software to simplify the calculations. Answer key: 1. Standard deviation = 2.13807 2. Standard deviation = 1.58114 3. Standard deviation = 2.82843 4. Standard deviation = 2.82843 5. Standard deviation = 2.160247 6. Standard deviation = 7.5 7. Standard deviation = 3.60555 8. Standard deviation = 2.738613 9. Standard deviation = 4.472136 10. Standard deviation = 3.02765 Note: These answers may vary slightly based on rounding, but they should be close to the actual answer. Page
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