| 1. | Where \ hat \ sigma is the sample standard deviation.
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| 2. | Important examples include the sample variance and sample standard deviation.
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| 3. | \hat { \ sigma } is estimated using the sample standard deviation.
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| 4. | The sample standard deviations are 15.81 and 28.46, respectively.
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| 5. | Thus for very large sample sizes, the uncorrected sample standard deviation is generally acceptable.
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| 6. | This estimator also has a uniformly smaller mean squared error than the corrected sample standard deviation.
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| 7. | Similarly, the sample standard deviation will very rarely be equal to the population standard deviation.
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| 8. | The RMSD represents the sample standard deviation of the differences between predicted values and observed values.
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| 9. | Where is the sample correlation coefficient between and; and and are the sample standard deviation of and.
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| 10. | The sample standard deviations for the two samples are approximately 0.05 and 0.11, respectively.
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