**STEP 1: Introduction to Standard Deviation and Volatility** Standard deviation is a statistical measure that indicates how much individual data points in a dataset differ from the mean (average) of the dataset. In risk management, a higher standard deviation implies greater volatility or variability in losses, meaning the risk is less predictable. Comparing the standard deviation of different types of risks helps organizations understand which risks are more volatile and require more attention in risk mitigation and decision-making. --- **STEP 2: Calculate Mean and Standard Deviation for Financial Risk Losses** Financial risk losses over 5 years: **$10,000, $15,000, $8,000, $12,000, $18,000** - **Mean (μ):** (10,000 + 15,000 + 8,000 + 12,000 + 18,000) / 5 = 63,000 / 5 = **$12,600** - **Variance:** [(10,000 - 12,600)² + (15,000 - 12,600)² + (8,000 - 12,600)² + (12,000 - 12,600)² + (18,000 - 12,600)²] / 5 = [(-2,600)² + (2,400)² + (-4,600)² + (-600)² + (5,400)²] / 5 = [6,760,000 + 5,760,000 + 21,160,000 + 360,000 + 29,160,000] / 5 = 63,200,000 / 5 = **12,640,000** - **Standard Deviation (σ):** √12,640,000 ≈ **$3,557** --- **STEP 3: Calculate Mean and Standard Deviation for Cyber Risk Losses** Cyber risk losses over 5 years: **$5,000, $20,000, $6,000, $9,000, $15,000** - **Mean (μ):** (5,000 + 20,000 + 6,000 + 9,000 + 15,000) / 5 = 55,000 / 5 = **$11,000** - **Variance:** [(5,000 - 11,000)² + (20,000 - 11,000)² + (6,000 - 11,000)² + (9,000 - 11,000)² + (15,000 - 11,000)²] / 5 = [(-6,000)² + (9,000)² + (-5,000)² + (-2,000)² + (4,000)²] / 5 = [36,000,000 + 81,000,000 + 25,000,000 + 4,000,000 + 16,000,000] / 5 = 162,000,000 / 5 = **32,400,000** - **Standard Deviation (σ):** √32,400,000 ≈ **$5,692** --- **STEP 4: Compare Volatility and Comment** - **Financial risk standard deviation:** ~$3,557 - **Cyber risk standard deviation:** ~$5,692 - The standard deviation for cyber risk losses is higher than for financial risk losses, indicating that cyber losses are more volatile and unpredictable. This means that while the average annual losses from both risks are similar, the potential for larger or more variable losses is higher for cyber risks. --- **STEP 5: Impact on Decision Making** The higher volatility of cyber losses suggests the company should prioritize robust cyber risk management strategies. This could include increasing investments in cybersecurity, adopting stronger controls, and allocating more resources to prepare for unpredictable cyber events, as they can lead to larger unexpected losses compared to financial risks. --- **FINAL SUMMARY:** Cyber risks have a higher standard deviation ($5,692) than financial risks ($3,557), indicating greater volatility. The organization should focus on managing cyber risks more proactively due to their unpredictability and potential for larger losses. --- **EXPLANATION OF STEPS:** - Step 1 introduced the concept of standard deviation and its relevance. - Step 2 and 3 calculated and explained the mean and standard deviation for each risk category. - Step 4 compared the volatility between the two risks, with clear comments. - Step 5 discussed the implications for organizational decision-making. - The final summary concisely stated the findings and recommendations.