Re: Which of the following statements
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18 Nov 2025, 00:17
Evaluation of Statements
1. Of the categories shown, retirees had the greatest average annual incomes (before taxes).
- Data Used: The top bar chart shows the Percent of income spent on certain items, and the bottom table shows the Average Weekly Amount spent.
- Analysis: We can calculate the implied average annual income (I) for each category using the following relationship:
Average Weekly Expenditure (Table) $\(\times 52=\)$ Total Annual Expenditure $\((\$)\)$
Total Annual Expenditure (\$) Percent Spent (Chart) = Average Annual Incom
The highest bar in the top chart (representing the total percent spent) belongs to Retirees (approximately $42 %$ ). The retirees also have the lowest dollar amount of Average Weekly Food and Household Expenditures at \(\$19.83\) (from the table).
Since $\(\mathrm{I}=\frac{\text { Annual Expenditure }}{\text { Percent Spent }}\)$, a high percentage and a low expenditure amount will result in a low income.
- Retirees: $\(\mathrm{I} \approx \frac{\$ 19.83 \times 52}{0.42} \approx \$ 2,448\)$
- Professionals and Managers: $\(\mathrm{I} \approx \frac{\$ 38.77 \times 52}{0.24} \approx \$ 8,400\)$
Retirees clearly have the lowest income, not the greatest.
- Conclusion: Statement I cannot be inferred (it is false).
II. For all categories shown, the average amount spent per week on housekeeping supplies was the same.
- Data Used: The "Housekeeping Supplies" column in the bottom table.
- Analysis: Looking at the "Housekeeping Supplies" column:
- Self-employed Workers: 7
- Professionals and Managers: 7
- Clerical and Sales Workers: 7
- Craft Workers and Machine Operators: 7
- Laborers and Service Workers: 7
- Retirees: 7
The average amount spent per week on housekeeping supplies is \(\$7\) for all six categories.
- Conclusion: Statement II can be inferred.
III. Of the categories shown the average amount spent per week on meats, poultry, and seafood (consumed at home) was greatest for craft workers and machine operators.
- Data Used: The "Meats, Poultry, Seafood" column in the bottom table.
- Analysis: We compare the values in the first data column:
- Self-employed Workers: 22
- Professionals and Managers: 19
- Clerical and Sales Workers: 21
- Craft Workers and Machine Operators: 23
- Laborers and Service Workers: 24
- Retirees: 23
The greatest amount is $\(\mathbf{2 4}\)$ (spent by Laborers and Service Workers). Craft Workers and Machine Operators spent $\(\$ 23\)$, which is not the greatest.
- Conclusion: Statement III cannot be inferred (it is false).
Final Answer
Only statement II can be inferred from the data.
The correct choice is (B) II only.