If the variance of a population is 16, what is the standard deviation? (2023)

Practice Questions

Q1
If the variance of a population is 16, what is the standard deviation? (2023)
  1. 4
  2. 8
  3. 16
  4. 2

Questions & Step-by-Step Solutions

If the variance of a population is 16, what is the standard deviation? (2023)
  • Step 1: Understand that variance is a measure of how much the values in a population differ from the mean.
  • Step 2: Know that the standard deviation (SD) is a measure of the average distance of each value from the mean.
  • Step 3: Remember the relationship between variance and standard deviation: SD is the square root of variance.
  • Step 4: Since the variance given is 16, calculate the square root of 16.
  • Step 5: Find the square root of 16, which is 4.
  • Step 6: 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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