STAT - Special Tertiary Admissions Analysis of Tables and Charts Questions and Answers — Questions and Answers
Question 1: The stacked bar chart below shows the revenue breakdown in millions of dollars for a technology company by division from 2023 to 2025. [A stacked bar chart is displayed. The x-axis shows the years 2023, 2024, and 2025. The y-axis is Revenue in Millions of $. Each bar is stacked with three segments: Software, Hardware, and Services. - For 2023: Total bar height is 100. Segments are Software=50, Hardware=30, Services=20. - For 2024: Total bar height is 120. Segments are Software=55, Hardware=25, Services=40. - For 2025: Total bar height is 150. Segments are Software=70, Hardware=20, Services=60.] Which of the following statements is best supported by the chart?
- The absolute revenue from the Hardware division decreased each year.
- The Services division's share of total revenue doubled between 2023 and 2025. (Correct answer)
- The Software division consistently made up more than half of the total revenue.
- Total company revenue increased by the same dollar amount each year.
Correct answer: The Services division's share of total revenue doubled between 2023 and 2025.
To solve this, we must calculate the proportion (or share) of total revenue for the Services division in 2023 and 2025. In 2023, Services revenue was $20M out of a total of $100M, which is a 20% share. In 2025, Services revenue was $60M out of a total of $150M, which is a 40% share. The share of revenue from the Services division doubled from 20% to 40%.
Question 2: The line graph shows the average monthly rainfall in millimeters (mm) for two cities over a year. [A line graph is displayed with months on the x-axis and Rainfall (mm) on the y-axis. There are two lines, one for City A and one for City B. - City A line: Starts at 20mm in Jan, rises to a peak of 160mm in August, then falls to 30mm in Dec. - City B line: Starts at 120mm in Jan, falls to a low of 30mm in July, then rises to 100mm in Dec.] Based on the data presented in the graph, during which three-month period is the absolute difference in average rainfall between City A and City B the largest?
- October - December
- April - June
- January - March
- July - September (Correct answer)
Correct answer: July - September
To find the largest difference, visually inspect where the two lines are furthest apart vertically. In the Jan-Mar period, the difference is large (approx. 110mm vs 30mm). In the Apr-Jun period, the lines are close. In the Jul-Sep period, City A peaks (approx. 150mm) while City B is near its low (approx. 40mm), creating a difference of about 110mm. In the Oct-Dec period, the difference is moderate. Comparing the Jan-Mar difference (approx. 120-20=100mm) with the Jul-Sep difference (approx. 160-30=130mm), the difference is clearly largest during the July - September period.
Question 3: The table below provides nutritional information per 100g serving for four different snack foods. | Snack | Calories (kcal) | Protein (g) | Fat (g) | Carbohydrates (g) | |---------------|-----------------|-------------|---------|-------------------| | Almonds | 579 | 21.1 | 49.9 | 21.6 | | Greek Yogurt | 59 | 10.0 | 0.4 | 3.6 | | Beef Jerky | 410 | 33.0 | 26.0 | 11.0 | | Cheese Stick | 98 | 7.0 | 8.0 | 1.0 | Using the information provided, which snack offers the most grams of protein per 100 calories?
- Beef Jerky
- Cheese Stick
- Greek Yogurt (Correct answer)
- Almonds
Correct answer: Greek Yogurt
To determine this, we need to calculate a ratio of protein to calories for each snack. The calculation is (Grams of Protein / Total Calories) * 100. - Almonds: (21.1 / 579) * 100 ≈ 3.6 g per 100 kcal - Greek Yogurt: (10.0 / 59) * 100 ≈ 16.9 g per 100 kcal - Beef Jerky: (33.0 / 410) * 100 ≈ 8.0 g per 100 kcal - Cheese Stick: (7.0 / 98) * 100 ≈ 7.1 g per 100 kcal Greek Yogurt has the highest value at approximately 16.9 grams of protein per 100 calories.
Question 4: The bar chart displays the quarterly net profit or loss (in thousands of dollars) for a business in a given year. [A bar chart is shown with four bars representing Q1, Q2, Q3, and Q4. The y-axis is Net Profit/Loss ($ Thousands). The zero line is marked. - Q1 bar goes up to +50. - Q2 bar goes up to +75. - Q3 bar goes down to -20. - Q4 bar goes up to +40.] What was the average monthly net profit for the entire year?
- $36,250
- $13,750
- $15,417
- $12,083 (Correct answer)
Correct answer: $12,083
First, calculate the total annual net profit by summing the values for the four quarters. Remember that the Q3 value is a loss, so it must be subtracted: $50,000 + $75,000 - $20,000 + $40,000 = $145,000. Second, to find the average monthly profit, divide this annual total by the 12 months in a year: $145,000 / 12 = $12,083.33. The closest answer is $12,083.
Question 5: A family's original monthly budget is $5,000, as shown in the pie chart. Their total monthly income then increases to $5,800. They decide to keep their dollar spending the same for all categories except for Savings, to which they allocate the entire increase. [A pie chart is shown with the title 'Monthly Budget: $5,000'. The slices are: Housing 30%, Food 20%, Transport 15%, Utilities 10%, Other 15%, Savings 10%] After the income change, what percentage of the new budget is allocated to Housing?
- 30.0%
- 25.9% (Correct answer)
- 28.5%
- 34.5%
Correct answer: 25.9%
First, calculate the original dollar amount spent on Housing: 30% of $5,000 is 0.30 * 5000 = $1,500. The problem states that this dollar amount remains the same. The new total budget is $5,800. To find the new percentage, divide the housing cost by the new total budget: ($1,500 / $5,800) * 100 ≈ 25.86%. The closest answer is 25.9%.
Question 6: The table shows student enrolment, and the line graph shows the total university budget. Assume the budget was distributed among the faculties proportionally to their student enrolment numbers. [A table titled 'Student Enrolment by Faculty' is shown. | Year | Science | Arts | Engineering | Total | |------|---------|--------|-------------|--------| | 2022 | 4,000 | 6,000 | 2,000 | 12,000 | | 2023 | 4,200 | 6,100 | 2,200 | 12,500 | | 2024 | 4,500 | 6,000 | 2,500 | 13,000 | A line graph titled 'Total University Budget' is shown. - 2022: $240 Million - 2023: $250 Million - 2024: $286 Million] In 2024, what was the approximate budget allocation per student for the Arts faculty?
- $20,000
- $22,000 (Correct answer)
- $23,500
- $21,000
Correct answer: $22,000
First, find the total university budget and the total number of students for the year 2024 from the provided data. The budget was $286,000,000 and the total number of students was 13,000. The problem states that the budget is distributed proportionally based on student enrolment, which implies a constant funding amount per student across all faculties. To find this amount, divide the total budget by the total number of students: $286,000,000 / 13,000 students = $22,000 per student. Therefore, the allocation per student for the Arts faculty was $22,000.
STAT - Special Tertiary Admissions Analysis of Tables and Charts Questions and Answers
The stacked bar chart below shows the revenue breakdown in millions of dollars for a technology company by division from 2023 to 2025.
[A stacked bar chart is displayed.
The x-axis shows the years 2023, 2024, and 2025.
The y-axis is Revenue in Millions of $.
Each bar is stacked with three segments: Software, Hardware, and Services.
- For 2023: Total bar height is 100.
Segments are Software=50, Hardware=30, Services=20.
- For 2024: Total bar height is 120.
Segments are Software=55, Hardware=25, Services=40.
- For 2025: Total bar height is 150.
Segments are Software=70, Hardware=20, Services=60.]
Which of the following statements is best supported by the chart?