If the data set has a mean of 50 and a variance of 16, what is the standard devi

Practice Questions

Q1
If the data set has a mean of 50 and a variance of 16, what is the standard deviation?
  1. 2
  2. 4
  3. 8
  4. 16

Questions & Step-by-Step Solutions

If the data set has a mean of 50 and a variance of 16, what is the standard deviation?
  • 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 the formula to find the standard deviation: Standard Deviation = √Variance.
  • Step 4: In this case, the variance is given as 16.
  • Step 5: Calculate the square root of the variance: √16.
  • Step 6: Find the square root of 16, which is 4.
  • Step 7: Conclude that the standard deviation is 4.
  • Mean and Variance – Understanding the relationship between mean, variance, and standard deviation in a data set.
  • Standard Deviation Calculation – Calculating standard deviation as the square root of variance.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely