If the sample variance of hourly wages is $10$, what is the sample standard deviation?

• A. $\sqrt{10}$
• B. $5$
• C. $10$
• D. $20$

Answer: (A)

Verified step by step guidance

1. Recall the relationship between sample variance and sample standard deviation: the sample standard deviation is the square root of the sample variance.
2. Identify the given sample variance, which is 10 in this problem.
3. Write the formula for the sample standard deviation \(s\) as \(s = \sqrt{s^2}\), where \(s^2\) is the sample variance.
4. Substitute the given variance into the formula: \(s = \sqrt{10}\).
5. Understand that the sample standard deviation is the positive square root of the variance, so the answer corresponds to \(\sqrt{10}\).