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If the standard deviation of a set of numbers is 3, what is the variance? (2020)

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Question: If the standard deviation of a set of numbers is 3, what is the variance? (2020)

Options:

  1. 6
  2. 9
  3. 12
  4. 15

Correct Answer: 9

Exam Year: 2020

Solution: 

Variance is the square of the standard deviation. Therefore, variance = 3² = 9.

If the standard deviation of a set of numbers is 3, what is the variance? (2020)

Practice Questions

Q1
If the standard deviation of a set of numbers is 3, what is the variance? (2020)
  1. 6
  2. 9
  3. 12
  4. 15

Questions & Step-by-Step Solutions

If the standard deviation of a set of numbers is 3, what is the variance? (2020)
  • Step 1: Understand that standard deviation is a measure of how spread out the numbers are in a set.
  • Step 2: Know that variance is another measure of spread, and it is calculated by squaring the standard deviation.
  • Step 3: Since the standard deviation given is 3, you need to square this number.
  • Step 4: Calculate 3 squared, which is 3 * 3.
  • Step 5: The result of 3 * 3 is 9, so the variance is 9.
  • Standard Deviation and Variance – Variance is calculated as the square of the standard deviation, which measures the spread of a set of numbers.
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