Question: The standard deviation of a data set is 5. What is the variance? (2023)
Options:
20
25
30
35
Correct Answer: 25
Exam Year: 2023
Solution:
Variance is the square of the standard deviation. Therefore, variance = 5² = 25.
The standard deviation of a data set is 5. What is the variance? (2023)
Practice Questions
Q1
The standard deviation of a data set is 5. What is the variance? (2023)
20
25
30
35
Questions & Step-by-Step Solutions
The standard deviation of a data set is 5. What is the variance? (2023)
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, we need to square this number.
Step 4: Calculate 5 squared, which is 5 * 5.
Step 5: The result of 5 * 5 is 25, which is the variance.
Standard Deviation and Variance – Standard deviation is a measure of the amount of variation or dispersion in a set of values, while variance is the square of the standard deviation.
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