Analyze the graph in question 2.2. and write a short paragraph answering the following: 3.1. Which expense category has the highest mean and why do you think this is case? 2.3.2. How can a group of young professionals adjust their spending habits to sav more money? 2.3.3. How does the group's spending compare to your personal budget you developed in PART 1 of this investigation?

```markdown **Graph Analysis and Spending Insights** In reviewing the graph from question 2.2, we observe that the expense category with the highest mean is **Housing**. This is not surprising because housing costs typically include mortgage or rent payments, utilities, and maintenance expenses, which are generally large and fixed amounts compared to other discretionary spending. In mathematical terms, if we denote the average expense for housing by \( \mu_{\text{Housing}} \) and compare it with other expense means \( \mu_{\text{Other}} \), we often find that \[ \mu_{\text{Housing}} > \mu_{\text{Other}} \] because housing is an essential need that does not easily adjust downward even when budgets are tightened. For a group of young professionals looking to save more money, a practical approach is to reexamine and adjust their spending habits. They could target non-essential or flexible spending areas such as entertainment, dining out, and transportation. For example, instead of spending on expensive dinners or take-out meals, they might opt for cooking at home or organizing potluck gatherings. Adjustments like these would shift expenses such that \[ \text{Total Savings} = \text{Current Income} - \big(\text{Essential Expenses} + \text{Reduced Discretionary Spending}\big) \] increasing their overall savings. Comparing the group's spending behavior to the personal budget developed in PART 1 of the investigation, it is likely that the group, as a whole, might show higher average expenditures in certain categories (like housing or leisure) than the carefully planned budget. A personal budget usually incorporates targeted savings goals and detailed cost-cutting measures, whereas the group’s spending might reflect a more relaxed, lifestyle-driven approach. This difference underlines the importance of regularly reviewing one’s finances and adjusting budgetary allocations to better align with long-term financial objectives. ```