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If the data set has a mean of 30 and a variance of 16, what is the standard devi

Practice Questions

Q1
If the data set has a mean of 30 and a variance of 16, what is the standard deviation?
  1. 4
  2. 5
  3. 6
  4. 7

Questions & Step-by-Step Solutions

If the data set has a mean of 30 and a variance of 16, what is the standard deviation?
Correct Answer: 4
  • 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: Identify the variance given in the question, which is 16.
  • Step 4: Calculate the square root of the variance: √16.
  • Step 5: Find the square root of 16, which is 4.
  • Step 6: Conclude that the standard deviation is 4.
  • Mean and Variance – Understanding the relationship between mean, variance, and standard deviation in statistics.
  • Standard Deviation Calculation – Calculating standard deviation as the square root of variance.
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