Question: If the variance of a population is 16, what is the standard deviation? (2023)
Options:
4
8
16
2
Correct Answer: 4
Exam Year: 2023
Solution:
Standard deviation is the square root of variance. Therefore, SD = √16 = 4.
If the variance of a population is 16, what is the standard deviation? (2023)
Practice Questions
Q1
If the variance of a population is 16, what is the standard deviation? (2023)
4
8
16
2
Questions & Step-by-Step Solutions
If the variance of a population is 16, what is the standard deviation? (2023)
Step 1: Understand that variance is a measure of how much the values in a population differ from the mean.
Step 2: Know that the standard deviation (SD) is a measure of the average distance of each value from the mean.
Step 3: Remember the relationship between variance and standard deviation: SD is the square root of variance.
Step 4: Since the variance given is 16, calculate the square root of 16.
Step 5: Find the square root of 16, which is 4.
Step 6: Conclude that the standard deviation is 4.
Variance and Standard Deviation – Understanding the relationship between variance and standard deviation, where standard deviation is the square root of variance.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
