Which statement best describes the role of standard deviation in risk estimation?

Which statement best describes the role of standard deviation in risk estimation?

• A. It is a measure of average loss
• B. It is a measure of how sure you can be in your estimate
• C. It identifies the most frequent loss level
• D. It is the maximum possible loss

Answer: (B)

Standard deviation expresses how much the potential losses can vary around the expected loss. In risk estimation, that spread equals the uncertainty in your estimate: a small standard deviation means the actual loss is likely close to the estimate, giving you higher confidence; a large standard deviation means outcomes can differ widely from the estimate, indicating greater risk. This is why the best description is that it measures how sure you can be in your estimate. It’s not a measure of average loss—the average is the mean. It doesn’t identify the most frequent loss level—that would be the mode. And it isn’t the maximum possible loss—that would be the worst-case value.

Standard deviation expresses how much the potential losses can vary around the expected loss. In risk estimation, that spread equals the uncertainty in your estimate: a small standard deviation means the actual loss is likely close to the estimate, giving you higher confidence; a large standard deviation means outcomes can differ widely from the estimate, indicating greater risk. This is why the best description is that it measures how sure you can be in your estimate.

It’s not a measure of average loss—the average is the mean. It doesn’t identify the most frequent loss level—that would be the mode. And it isn’t the maximum possible loss—that would be the worst-case value.