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

  • Standard deviation is always larger
  • They are the same
  • Variance is always larger
  • Variance is the square root of the standard deviation
Variance and the square of the standard deviation are the same. The variance is calculated as the mean of the squared deviations from the mean, and the standard deviation is the square root of this variance. Hence, squaring the standard deviation gives us the variance.
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