The mean of a data set is 10 and the variance is 4. What is the standard deviati

Practice Questions

Q1
The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)
  1. 2
  2. 4
  3. 8
  4. 10

Questions & Step-by-Step Solutions

The mean of a data set is 10 and the variance is 4. What is the standard deviation? (2019)
  • 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 a value that tells us how much the numbers in the data set typically differ from the mean.
  • Step 3: Remember that the standard deviation is calculated by taking the square root of the variance.
  • Step 4: Since the variance given in the question is 4, we need to find the square root of 4.
  • Step 5: Calculate the square root of 4, which is 2.
  • Step 6: Conclude that the standard deviation is 2.
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