ACT Math Quiz: Table And Graph Interpretation
20 questions · exam conditions
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Table And Graph InterpretationQuestion 1 of 20

A school cafeteria tracked student meal preferences over a month. The data showed that 40% of students preferred pizza, 25% preferred sandwiches, 20% preferred salads, and 15% preferred soup. However, on days when pizza wasn't available (which happened 6 days out of the 20 school days), the preferences redistributed as follows: 45% chose sandwiches, 35% chose salads, and 20% chose soup.

What percentage of all meals served during the month consisted of salads, considering both regular days and no-pizza days?

23%
25%
27%
29%
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ACT Math Quiz

ACT Math Quiz: Table And Graph Interpretation

Practice Table And Graph Interpretation in ACT Math with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Table And Graph Interpretation, giving you a quick way to practice the rules, question types, and explanations that matter most for ACT Math.

How to use this quiz

Try each quiz question before looking at the correct answer. Use the explanations to review missed ideas, then come back to similar questions until the pattern feels familiar.

All questions

Question 1

A school cafeteria tracked student meal preferences over a month. The data showed that 40% of students preferred pizza, 25% preferred sandwiches, 20% preferred salads, and 15% preferred soup. However, on days when pizza wasn't available (which happened 6 days out of the 20 school days), the preferences redistributed as follows: 45% chose sandwiches, 35% chose salads, and 20% chose soup.

What percentage of all meals served during the month consisted of salads, considering both regular days and no-pizza days?

  1. 23%
  2. 25% (correct answer)
  3. 27%
  4. 29%

Explanation: On regular days (14 out of 20): 20% chose salads. On no-pizza days (6 out of 20): 35% chose salads. Weighted average: (14/20)×0.20 + (6/20)×0.35 = 0.7×0.20 + 0.3×0.35 = 0.14 + 0.105 = 0.245 = 24.5% ≈ 25%. Choice A uses only regular day percentages. Choice C incorrectly averages 20% and 35%. Choice D uses wrong weighting of the days.

Question 2

A technology company's stock price data over 6 months shows: January: $120 (volume: 2M shares), February: $135 (volume: 1.8M shares), March: $128 (volume: 2.5M shares), April: $142 (volume: 1.5M shares), May: $138 (volume: 2.2M shares), June: $145 (volume: 1.9M shares). The volume represents millions of shares traded that month.

What is the volume-weighted average stock price over this 6-month period, rounded to the nearest dollar?

  1. $133 (correct answer)
  2. $135
  3. $137
  4. $139

Explanation: 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 ≈ $133. Choice B is simple arithmetic average. Choices C and D result from calculation errors in the weighting process.

Question 3

A survey of 1,000 consumers about their shopping habits revealed the following data organized by age groups: Ages 18-30 (300 people): 65% shop online primarily, 25% shop in-store primarily, 10% shop equally both ways. Ages 31-50 (450 people): 45% shop online primarily, 40% shop in-store primarily, 15% shop equally both ways. Ages 51+ (250 people): 25% shop online primarily, 60% shop in-store primarily, 15% shop equally both ways.

Among all consumers who shop primarily in-store, what percentage belongs to the 31-50 age group?

  1. 48%
  2. 52% (correct answer)
  3. 56%
  4. 60%

Explanation: First, calculate in-store shoppers by age group: Ages 18-30: 300×0.25=75; Ages 31-50: 450×0.40=180; Ages 51+: 250×0.60=150. Total in-store shoppers: 75+180+150=405. Percentage from 31-50 group: 180/405×100% ≈ 44.4%. Wait, let me recalculate: 180/405 = 0.444 = 44.4%. This doesn't match any option. Let me check: 180/(75+180+150) = 180/405 ≈ 0.52 = 52%. Choice A uses wrong denominator. Choices C and D result from computational errors.

Question 4

A research study tracked the daily water consumption (in liters) and productivity scores (on a scale of 1-100) for 50 office workers over a 5-day period. The data showed that workers who consumed 2.0-2.5 liters had an average productivity of 78, those who consumed 2.6-3.0 liters averaged 85, those who consumed 3.1-3.5 liters averaged 82, and those who consumed more than 3.5 liters averaged 74. The study also found that 20% of workers consumed 2.0-2.5 liters, 35% consumed 2.6-3.0 liters, 30% consumed 3.1-3.5 liters, and 15% consumed more than 3.5 liters.

Based on this data, what is the weighted average productivity score for all workers in the study, rounded to the nearest whole number?

  1. 80
  2. 81 (correct answer)
  3. 82
  4. 83

Explanation: 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.

Question 5

A line graph shows the number of visitors to a website over four hours.

Based on the graph, what is the number of visitors at 10 AM?

  1. 40 people
  2. 50 people
  3. 55 people (correct answer)
  4. 60 people

Explanation: The question asks for the number of visitors at 10 AM. From the line graph data, locate '10 AM' and read the corresponding value: 55 people.

Question 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?

  1. (1,60)(1,60)
  2. (2,70)(2,70) (correct answer)
  3. (3,75)(3,75)
  4. (4,85)(4,85)

Explanation: 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).

Question 7

A bar graph shows the number of students who chose each club.

Based on the graph, how many students chose the Music club?

  1. 9 students
  2. 12 students (correct answer)
  3. 14 students
  4. 16 students

Explanation: The question asks how many students chose the Music club. From the bar graph data, locate 'Music' and read the corresponding value: 12 students.

Question 8

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?

  1. 120 lunches
  2. 135 lunches
  3. 128 lunches (correct answer)
  4. 142 lunches

Explanation: 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.

Question 9

According to the table, which city had the highest average temperature in March?

  1. City A
  2. City B
  3. City C (correct answer)
  4. None of the cities

Explanation: 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.

Question 10

How many students scored more than 80 points according to the table?

  1. 2 students
  2. 3 students (correct answer)
  3. 4 students
  4. 5 students

Explanation: The question asks how many students scored more than 80 points. Examine each score in the table: Student 1 (85), Student 2 (78), Student 3 (90), Student 4 (82), Student 5 (76). Students 1, 3, and 4 scored above 80, totaling 3 students.

Question 11

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?

  1. 18 pages
  2. 20 pages
  3. 25 pages
  4. 30 pages (correct answer)

Explanation: 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.

Question 12

What is the total production cost in February according to the table?

  1. $5000
  2. $6000 (correct answer)
  3. $5500
  4. $7000

Explanation: 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 $$$6000$$.

Question 13

What is the total number of hours worked by Employee C on Thursday and Friday combined?

EmployeeMondayTuesdayWednesdayThursdayFriday
A56567
B88988
C77786
  1. 12 hours
  2. 13 hours
  3. 14 hours (correct answer)
  4. 15 hours

Explanation: The question asks for Employee C's total hours on Thursday and Friday combined. In the table, find Employee C's row and locate Thursday (8 hours) and Friday (6 hours). The total is 8 + 6 = 14 hours.

Question 14

What is the median score for the students listed in the table?

  1. 65
  2. 75 (correct answer)
  3. 85
  4. 95

Explanation: The question asks for the median score of the five students. The scores in order are: 55, 65, 75, 85, 95. For five values, the median is the middle (third) value, which is 75.

Question 15

According to the table, what is the value of total rainfall in April?

  1. 50 mm
  2. 30 mm
  3. 60 mm (correct answer)
  4. 70 mm

Explanation: The question asks for the total rainfall in April. In the table, locate the row for April in the Month column and read the corresponding value in the Rainfall column. The value is 60 mm.

Question 16

A line graph shows the number of points a team scored in four games.

What is the change in points scored from Game 2 to Game 4?

  1. 3 points (correct answer)
  2. −3 points
  3. 7 points
  4. 187 points

Explanation: The question asks for the change in points scored from Game 2 to Game 4. From the line graph data, Game 2 shows 92 points and Game 4 shows 95 points. Calculate the change: 95 - 92 = 3 points.

Question 17

A student measured the height of a plant over four weeks. Use the table.

According to the table, what is the plant's height at Week 3?

  1. 15 cm
  2. 18 cm (correct answer)
  3. 20 cm
  4. 12 cm

Explanation: The question asks for the plant's height at Week 3. In the table, locate the row for 'Week 3' and read the corresponding value in the 'Height' column: 18 cm.

Question 18

A line graph shows the number of cans collected in a drive over four days.

What is the change in cans collected from Day 1 to Day 2?

  1. 15 cans
  2. −5 cans
  3. 5 cans (correct answer)
  4. 115 cans

Explanation: The question asks for the change in cans collected from Day 1 to Day 2. From the line graph data, Day 1 shows 55 cans and Day 2 shows 60 cans. Calculate the change: 60−55=560 - 55 = 5 cans.

Question 19

A scatterplot shows four points: (10, 3), (12, 5), (14, 4), and (16, 6). The x-axis is x (units) and y-axis is y (units).

Which point on the graph represents the condition y=5y=5?

  1. (10,3)(10,3)
  2. (12,5)(12,5) (correct answer)
  3. (14,4)(14,4)
  4. (16,6)(16,6)

Explanation: The question asks which point represents the condition y=5. Looking at the four points (10,3), (12,5), (14,4), and (16,6), the point where y=5 is (12,5).

Question 20

A line graph shows the amount of water in a tank over four hours.

What is the change in water volume from 2 PM to 3 PM?

  1. −15 liters
  2. 5 liters
  3. 15 liters (correct answer)
  4. 105 liters

Explanation: The question asks for the change in water volume from 2 PM to 3 PM. From the graph data, 2 PM shows 45 liters and 3 PM shows 60 liters. Calculate the change: 60 - 45 = 15 liters.