A set of numbers has a variance of 36. What is the standard deviation? (2019)

Practice Questions

Q1
A set of numbers has a variance of 36. What is the standard deviation? (2019)
  1. 6
  2. 12
  3. 18
  4. 24

Questions & Step-by-Step Solutions

A set of numbers has a variance of 36. What is the standard deviation? (2019)
  • Step 1: Understand that variance is a measure of how spread out the numbers in a set are.
  • Step 2: Know that standard deviation is a related measure that tells us how much the numbers typically differ from the average.
  • Step 3: Remember the formula: Standard Deviation (SD) is the square root of the variance.
  • Step 4: Since the variance given is 36, we need to find the square root of 36.
  • Step 5: Calculate the square root of 36, which is 6.
  • Step 6: Conclude that the standard deviation is 6.
  • 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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