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If the mean of a data set is 20 and the standard deviation is 5, what is the var

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Question: If the mean of a data set is 20 and the standard deviation is 5, what is the variance?

Options:

  1. 10
  2. 15
  3. 20
  4. 25

Correct Answer: 25

Solution: 

Variance = (Standard Deviation)² = 5² = 25.

If the mean of a data set is 20 and the standard deviation is 5, what is the var

Practice Questions

Q1
If the mean of a data set is 20 and the standard deviation is 5, what is the variance?
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

If the mean of a data set is 20 and the standard deviation is 5, what is the variance?
  • Step 1: Understand that variance is a measure of how spread out the numbers in a data set are.
  • Step 2: Know that the standard deviation is the square root of the variance.
  • Step 3: Since we have the standard deviation (5), we can find the variance by squaring the standard deviation.
  • Step 4: Calculate the variance by doing 5 squared (5 * 5).
  • Step 5: The result of 5 squared is 25, so the variance is 25.
  • Mean and Standard Deviation – Understanding the relationship between mean, standard deviation, and variance in a data set.
  • Variance Calculation – Knowing that variance is the square of the standard deviation.
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