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Table & Graph Interpretation - ACT Math

  1. A scatterplot shows four points: (5, 2), (6, 4), (7, 3), and (8, 5). The x-axis is x (units) and the y-axis is y (units). Which point on the graph represents the condition x=8x=8?
    Answer: (8,5)(8,5) The question asks which point represents the condition x=8. Looking at the four points (5,2), (6,4), (7,3), and (8,5), the point where x=8 is (8,5).
  2. A bar graph shows the number of sandwiches sold during four hours. Based on the graph, what is the measurement at 1 PM?
    Answer: 22 sandwiches The question asks for the measurement at 1 PM. From the bar graph data, locate '1 PM' and read the corresponding value: 22 sandwiches.
  3. A bar graph shows the number of minutes of screen time on four days. How many days had screen time greater than 85 minutes?
    Answer: 2 days The question asks how many days had screen time greater than 85 minutes. Check each day's values: Day 1 (90), Day 2 (75), Day 3 (100), Day 4 (80). Day 1 (90) and Day 3 (100) are both greater than 85, so 2 days meet the criteria.
  4. A bar graph shows the number of apples picked from four trees. How many trees had more than 30 apples picked?
    Answer: 3 trees The question asks how many trees had more than 30 apples picked. Check each tree's values: Tree 1 (34), Tree 2 (28), Tree 3 (40), Tree 4 (31). Tree 1 (34), Tree 3 (40), and Tree 4 (31) are all greater than 30, so 3 trees meet the criteria.
  5. What is the total production cost in February according to the table?
    Answer: $6000 The question asks for the total production cost in February. In the table, locate the row for February in the Month column and read the corresponding value in the Production Cost column. The value is $6000\$6000.
  6. A scatterplot shows four points representing (hours studied, score). The points are (1, 60), (2, 70), (3, 75), and (4, 85). Which point on the graph represents the condition 2 hours studied?
    Answer: (2,70)(2,70) The question asks which point represents 2 hours studied. Looking at the four points (1,60), (2,70), (3,75), and (4,85), the point where hours studied equals 2 is (2,70).
  7. A line graph shows the number of pages read each day by a student. Use the graph data. Based on the graph, what is the number of pages read on Thursday?
    Answer: 30 pages The question asks for the number of pages read on Thursday. From the line graph data, locate Thursday and read the corresponding value: 30 pages.
  8. A gym tracked the number of members who attended four different classes in one week. Use the table. How many classes had attendance greater than 20 people?
    Answer: 2 classes The question asks how many classes had attendance greater than 20 people. Check each class: Yoga (16), Spin (22), Pilates (18), Zumba (25). Spin (22) and Zumba (25) are both greater than 20, so 2 classes meet the criteria.
  9. Among all consumers who shop primarily in-store, what percentage, to the nearest percent, belongs to the 31-50 age group?
    Answer: 44% Start by finding how many people in each age group shop primarily in-store. Ages 18-30: 300 × 0.25 = 75. Ages 31-50: 450 × 0.40 = 180. Ages 51+: 250 × 0.60 = 150. In total, 75 + 180 + 150 = 405 consumers shop primarily in-store, and the 31-50 group's share of them is 180 ÷ 405 ≈ 0.444, or 44% to the nearest percent. Dividing 180 by all 1,000 consumers gives 18%, which is the share of all consumers rather than of in-store shoppers. 40% is the in-store rate within the 31-50 group, not that group's share of in-store shoppers. 45% is the 31-50 group's share of all 1,000 consumers (450 ÷ 1,000).
  10. A coffee shop tracked cups of coffee sold by size in one morning. Use the table. According to the table, how many cups of Medium coffee were sold?
    Answer: 31 cups The question asks for the number of Medium coffee cups sold. Looking at the table, find the row labeled 'Medium' and read the corresponding value in the 'Cups' column: 31 cups.
  11. A library tracked the number of books checked out in four months. Use the table. What is the change in books checked out from February to March?
    Answer: 30 books The question asks for the change in books checked out from February to March. From the table, February shows 190 books and March shows 220 books. Calculate the change: 220 - 190 \= 30 books.
  12. According to the table, which city had the highest average temperature in March?
    Answer: City C The question asks which city had the highest average temperature in March. In the table, locate the March column and compare all three cities: City A (10°C), City B (9°C), City C (11°C). City C has the highest March temperature at 11°C.
  13. A weather station recorded the high temperature for four days. Use the table. According to the table, what is the high temperature on Saturday?
    Answer: 72 ∘^\circF The question asks for the high temperature on Saturday. In the table, locate the row for 'Saturday' and read the corresponding value in the 'High' column: 72°F.
  14. Based on this data, what is the weighted average productivity score for all workers in the study, rounded to the nearest whole number?
    Answer: 81 To find the weighted average, multiply each productivity score by its percentage: (78×0.20) + (85×0.35) + (82×0.30) + (74×0.15) = 15.6 + 29.75 + 24.6 + 11.1 = 81.05, which rounds to 81. Choice A uses simple average (78+85+82+74)/4=79.75≈80. Choice C incorrectly weights by assuming equal distribution (25% each). Choice D results from calculation errors in the weighted sum.
  15. A school cafeteria tracked the number of lunches sold on four days. Use the table to answer the question. According to the table, what is the number of lunches sold on Wednesday?
    Answer: 128 lunches The question asks for the number of lunches sold on Wednesday. Looking at the table, find the row labeled 'Wed' and read the corresponding value in the 'Lunches Sold' column: 128 lunches.
  16. A bar graph shows the number of books read by four students over the summer. Based on the graph, what is the measurement for Chen?
    Answer: 7 books The question asks for the measurement for Chen. From the bar graph data, locate 'Chen' and read the corresponding value: 7 books.
  17. A line graph shows the number of minutes spent practicing piano over four days. What is the change in practice time from Wednesday to Thursday?
    Answer: 15 minutes The question asks for the change in practice time from Wednesday to Thursday. From the line graph data, Wednesday shows 20 minutes and Thursday shows 35 minutes. Calculate the change: 35 - 20 = 15 minutes.
  18. What is the volume-weighted average stock price over this 6-month period, rounded to the nearest dollar?
    Answer: $134 Volume-weighted average = Σ(price × volume) / Σ(volume). Numerator: (120×2) + (135×1.8) + (128×2.5) + (142×1.5) + (138×2.2) + (145×1.9) = 240 + 243 + 320 + 213 + 303.6 + 275.5 = 1595.1. Total volume: 2+1.8+2.5+1.5+2.2+1.9 = 11.9. Volume-weighted average = 1595.1/11.9 ≈ $134.04, which rounds to $134. Choice B is simple arithmetic average. Choices C and D result from calculation errors in the weighting process.
  19. A bus route recorded the number of passengers at four stops. Use the table. According to the table, what is the number of passengers at Stop B?
    Answer: 25 people The question asks for the number of passengers at Stop B. Looking at the table, find the row labeled 'Stop B' and read the corresponding value in the 'Passengers' column: 25 people.
  20. A teacher recorded the number of students absent on four days. Use the table. How many days had more than 4 students absent?
    Answer: 2 days The question asks how many days had more than 4 students absent. Check each day's values: Monday (4), Tuesday (6), Wednesday (3), Thursday (5). Tuesday (6) and Thursday (5) are both greater than 4, so 2 days meet the criteria.

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