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If the variance of a population is 25, what is the standard deviation? (2022)

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Question: If the variance of a population is 25, what is the standard deviation? (2022)

Options:

  1. 5
  2. 10
  3. 15
  4. 20

Correct Answer: 5

Exam Year: 2022

Solution:

Standard deviation = √25 = 5.

If the variance of a population is 25, what is the standard deviation? (2022)

Practice Questions

Q1
If the variance of a population is 25, what is the standard deviation? (2022)
  1. 5
  2. 10
  3. 15
  4. 20

Questions & Step-by-Step Solutions

If the variance of a population is 25, what is the standard deviation? (2022)
  • 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 is the square root of the variance.
  • Step 3: Since the variance given is 25, we need to find the square root of 25.
  • Step 4: Calculate the square root of 25, which is 5.
  • Step 5: Conclude that the standard deviation is 5.
  • Variance and Standard Deviation – Variance is the average of the squared differences from the mean, and the standard deviation is the square root of the variance.
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