Question: If the standard deviation of a data set is 5, what is the variance?
Options:
5
10
25
30
Correct Answer: 25
Solution:
Variance is the square of the standard deviation. Variance = 5² = 25.
If the standard deviation of a data set is 5, what is the variance?
Practice Questions
Q1
If the standard deviation of a data set is 5, what is the variance?
5
10
25
30
Questions & Step-by-Step Solutions
If the standard deviation of a data set is 5, what is the variance?
Step 1: Understand that standard deviation is a measure of how spread out the numbers in a data set are.
Step 2: Know that variance is another measure of spread, and it is calculated by squaring the standard deviation.
Step 3: Since the standard deviation given is 5, you need to square this number.
Step 4: Calculate 5 squared, which is 5 * 5.
Step 5: The result of 5 * 5 is 25, so the variance is 25.
Standard Deviation and Variance – Variance is a measure of how much values in a data set differ from the mean, and it is calculated as the square of the standard deviation.
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