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What is the relationship between sample variance and sample standard deviation?Sample variance is the square root of the sample variance.Sample standard deviation is the square root of the sample variance.

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What is the relationship between sample variance and sample standard deviation?Sample variance is the square root of the sample variance.Sample standard deviation is the square root of the sample variance.

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Solution

The relationship between sample variance and sample standard deviation is that the standard deviation is the square root of the variance. In other words, if you square the standard deviation, you get the variance. This relationship holds for both population and sample statistics.

Here are the steps to calculate them:

  1. Calculate the mean (average) of your sample data.
  2. Subtract the mean from each data point and square the result.
  3. Sum up all the squared results. This gives you the sum of squares.
  4. Divide the sum of squares by the number of data points minus 1 (this is what makes it a sample variance rather than a population variance). This gives you the sample variance.
  5. To get the sample standard deviation, take the square root of the sample variance.

So, the sample standard deviation and sample variance are closely related, they are just different ways of expressing the dispersion in your data.

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Similar Questions

What is the relationship between the variance and the standard deviation?Select one:A. Variance is the square of the standard deviationB. Variance is the square root of the standard deviationC. Variance is twice the standard deviationD. No constant relationship between variance and standard deviation

How is the standard deviation related to the variance of a data set? It is the square of the variance It is the square root of the variance It is half the variance It is twice the variance

What is the relationship between the variance and the standard deviation?

What is the standard deviation of a sampling distribution called? a. Standard error. b. Sample error. c. Simple error. d. Sampling error.

The variance is:a. The square root of the sum of squared deviations from the meanb. The average of squared deviations from the meanc. The average of absolute deviations from the meand. The square of the standard deviation

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