Question: The variance of a sample is calculated as 25. What is the standard deviation?
Options:
5
10
15
20
Correct Answer: 5
Solution:
Standard Deviation = √Variance = √25 = 5.
The variance of a sample is calculated as 25. What is the standard deviation?
Practice Questions
Q1
The variance of a sample is calculated as 25. What is the standard deviation?
5
10
15
20
Questions & Step-by-Step Solutions
The variance of a sample is calculated as 25. What is the standard deviation?
Step 1: Understand that variance is a measure of how much the values in a sample differ from the average.
Step 2: Know that the standard deviation is a measure that tells us how spread out the values are in relation to the average.
Step 3: Remember the formula to find the standard deviation: Standard Deviation = √Variance.
Step 4: Since the variance given is 25, substitute 25 into the formula: Standard Deviation = √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 – Variance measures the spread of a set of data points, while standard deviation is the square root of variance, indicating the average distance of each data point from the mean.
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