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If the standard deviation of a population is 7, what is the variance? (2022)

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Question: If the standard deviation of a population is 7, what is the variance? (2022)

Options:

  1. 14
  2. 21
  3. 49
  4. 56

Correct Answer: 49

Exam Year: 2022

Solution: 

Variance is the square of the standard deviation. Therefore, variance = 7² = 49.

If the standard deviation of a population is 7, what is the variance? (2022)

Practice Questions

Q1
If the standard deviation of a population is 7, what is the variance? (2022)
  1. 14
  2. 21
  3. 49
  4. 56

Questions & Step-by-Step Solutions

If the standard deviation of a population is 7, what is the variance? (2022)
  • Step 1: Understand that the standard deviation is a measure of how spread out the numbers are in a population.
  • Step 2: Know that variance is another measure of spread, and it is calculated by squaring the standard deviation.
  • Step 3: Take the given standard deviation, which is 7.
  • Step 4: Square the standard deviation: 7 multiplied by 7 equals 49.
  • Step 5: Conclude that the variance is 49.
  • Variance and Standard Deviation – Variance is a measure of the dispersion of a set of values, calculated as the square of the standard deviation.
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