Question: If the variance of a sample is 25, what is the standard deviation? (2023)
Options:
5
10
15
20
Correct Answer: 5
Exam Year: 2023
Solution:
Standard deviation is the square root of variance. Therefore, SD = √25 = 5.
If the variance of a sample is 25, what is the standard deviation? (2023)
Practice Questions
Q1
If the variance of a sample is 25, what is the standard deviation? (2023)
5
10
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Questions & Step-by-Step Solutions
If the variance of a sample is 25, what is the standard deviation? (2023)
Step 1: Understand that variance is a measure of how much the values in a sample differ from the mean.
Step 2: Know that the standard deviation (SD) is a value that tells us how spread out the numbers are in a sample.
Step 3: Remember the relationship between variance and standard deviation: SD is the square root of variance.
Step 4: Since the variance given is 25, we need to find the square root of 25.
Step 5: Calculate the square root of 25, which is 5.
Step 6: Conclude that the standard deviation is 5.
Variance and Standard Deviation – Understanding the relationship between variance and standard deviation, where standard deviation is the square root of variance.
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