Asked by Jordyn Schultz on May 18, 2024
Verified
If you have a variance of 9,your standard deviation will be ______.
A) 9
B) 81
C) 3
D) 0
Variance
A measure of the dispersion of a set of data points around their mean, indicating how spread out the data points are.
Standard Deviation
A measure of the dispersion or variability of a set of data points, indicating how spread out the values are from the mean of the data set.
- Familiarize oneself with the concept of standard deviation and variance as indicators of data dispersion.
Verified Answer
VW
Victoria WilsonMay 19, 2024
Final Answer :
C
Explanation :
The standard deviation is the square root of the variance. Therefore, the standard deviation of a variance of 9 is sqrt(9) which is 3. Option A is incorrect because the variance is not equal to the standard deviation. Option B is incorrect because 81 is the variance of the standard deviation of 9. Option D is incorrect because a variance of 9 cannot have a standard deviation of 0.
Learning Objectives
- Familiarize oneself with the concept of standard deviation and variance as indicators of data dispersion.