If the mean of a data set is 50 and the standard deviation is 10, what is the va

Practice Questions

Q1
If the mean of a data set is 50 and the standard deviation is 10, what is the variance? (2023)
  1. 50
  2. 100
  3. 150
  4. 200

Questions & Step-by-Step Solutions

If the mean of a data set is 50 and the standard deviation is 10, what is the variance? (2023)
  • 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 variance is calculated by squaring the standard deviation.
  • Step 4: Since the standard deviation given is 10, we will square this value.
  • Step 5: Calculate 10 squared, which is 10 * 10 = 100.
  • Step 6: Conclude that the variance of the data set is 100.
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