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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

Question

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

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Solution

The correct answer is A. Variance is the square of the standard deviation.

Here's why:

  1. Variance is a statistical measurement that describes the spread of data points in a data set around the mean. It measures how far each number in the set is from the mean and thus from every other number in the set.

  2. Standard deviation, on the other hand, is a measure of the amount of variation

Similar Questions

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

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

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

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.

The standard deviation is the square root of what measure?

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