If the mean of a data set is 30 and the standard deviation is 5, what is the var

Practice Questions

Q1
If the mean of a data set is 30 and the standard deviation is 5, what is the variance? (2023)
  1. 10
  2. 15
  3. 20
  4. 25

Questions & Step-by-Step Solutions

If the mean of a data set is 30 and the standard deviation is 5, 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 5, we will square this number.
  • Step 5: Calculate 5 squared, which is 5 * 5 = 25.
  • Step 6: Conclude that the variance of the data set 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 calculated as the square of the standard deviation.
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