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If the standard deviation of a data set is 4, what is the variance?

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Question: If the standard deviation of a data set is 4, what is the variance?

Options:

  1. 8
  2. 16
  3. 4
  4. 12

Correct Answer: 16

Solution: 

Variance = (Standard Deviation)² = 4² = 16.

If the standard deviation of a data set is 4, what is the variance?

Practice Questions

Q1
If the standard deviation of a data set is 4, what is the variance?
  1. 8
  2. 16
  3. 4
  4. 12

Questions & Step-by-Step Solutions

If the standard deviation of a data set is 4, what is the variance?
Correct Answer: 16
  • Step 1: Understand that the standard deviation is a measure of how spread out the numbers in a data set are.
  • 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 4.
  • Step 4: Square the standard deviation: 4 squared (4 * 4) equals 16.
  • Step 5: Conclude that the variance of the data set is 16.
  • Standard Deviation and Variance – Standard deviation is the square root of variance, and variance is the square of the standard deviation.
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