ITBS Data Interpretation and Graphs 3 — Questions and Answers
Question 1: A frequency table shows: Red=12, Blue=8, Green=15, Yellow=5. What fraction of students chose Red?
- 1/4
- 3/10
- 12/40 (Correct answer)
- 2/5
Correct answer: 12/40
Total = 12+8+15+5 = 40; Red fraction = 12/40 = 3/10 (both 12/40 and 3/10 are equivalent, but 12/40 is the direct answer).
Question 2: A line graph shows temperatures dropping from 70°F at noon to 55°F at midnight. What was the average rate of decrease per hour over 12 hours?
- 1°F/hr
- 1.25°F/hr (Correct answer)
- 1.5°F/hr
- 2°F/hr
Correct answer: 1.25°F/hr
(70 − 55) ÷ 12 = 15 ÷ 12 = 1.25°F per hour.
Question 3: A bar graph shows students enrolled per grade. Grade 3 has twice as many students as Grade 6. If Grade 6 has 45 students, how many are in Grade 3?
- 22
- 45
- 90 (Correct answer)
- 135
Correct answer: 90
Twice 45 = 90 students in Grade 3.
Question 4: A pie chart is divided into 4 equal sections. What percent does each section represent?
- 20%
- 25% (Correct answer)
- 33%
- 40%
Correct answer: 25%
100% ÷ 4 equal sections = 25% each.
Question 5: A table lists five quiz scores: 88, 76, 94, 88, 74. What is the mode?
- 74
- 76
- 88 (Correct answer)
- 94
Correct answer: 88
88 appears twice, more than any other score, making it the mode.
Question 6: A graph's x-axis is labeled 'Hours Studied' and the y-axis is labeled 'Test Score.' A student studies 0 hours and scores 40. A student studies 5 hours and scores 90. What does the graph most likely show?
- Scores decrease as study time increases
- Scores stay the same regardless of study time
- Scores increase as study time increases (Correct answer)
- There is no relationship between study time and scores
Correct answer: Scores increase as study time increases
The score rises from 40 to 90 as study hours increase from 0 to 5, showing a positive relationship.
Question 7: A stem-and-leaf plot shows stems 4, 5, 6 with leaves 4|2,7 and 5|1,5,9 and 6|3. How many data values are in the 50s?
- 1
- 2
- 3 (Correct answer)
- 4
Correct answer: 3
Stem 5 has leaves 1, 5, 9 — three values: 51, 55, 59.
ITBS Data Interpretation and Graphs 3
A frequency table shows: Red=12, Blue=8, Green=15, Yellow=5.
What fraction of students chose Red?