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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.
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