If the variance of a data set is 16, what is the standard deviation?

Practice Questions

Q1
If the variance of a data set is 16, what is the standard deviation?
  1. 4
  2. 8
  3. 16
  4. 2

Questions & Step-by-Step Solutions

If the variance of a data set is 16, what is the standard deviation?
  • Step 1: Understand that variance is a measure of how spread out the numbers in a data set are.
  • Step 2: Know that the standard deviation is simply the square root of the variance.
  • Step 3: Since the variance given is 16, we need to find the square root of 16.
  • Step 4: Calculate the square root of 16, which is 4.
  • Step 5: Conclude that the standard deviation is 4.
  • Variance and Standard Deviation – Understanding the relationship between variance and standard deviation, where standard deviation is the square root of variance.
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