ITBS Data Interpretation and Graphs 5 — Questions and Answers
Question 1: A line graph shows plant growth: Week1=2cm, Week2=5cm, Week3=9cm, Week4=14cm. What is the pattern of growth?
- The plant grows the same amount each week
- The plant grows more each week (Correct answer)
- The plant grows less each week
- The plant stops growing after Week 3
Correct answer: The plant grows more each week
Growth per week increases: +3, +4, +5 cm, showing an accelerating pattern.
Question 2: A tally chart shows: Dogs=IIII II, Cats=IIII I, Birds=III. How many more dogs than birds are there?
- 3
- 4 (Correct answer)
- 5
- 6
Correct answer: 4
Dogs=7, Birds=3; 7 − 3 = 4 more dogs.
Question 3: A graph shows the number of books read by students: Min=2, Q1=5, Median=8, Q3=11, Max=15. What is the interquartile range (IQR)?
- 4
- 5
- 6 (Correct answer)
- 7
Correct answer: 6
IQR = Q3 − Q1 = 11 − 5 = 6.
Question 4: A bar graph compares the number of books sold each month. March sold 120 books and April sold 90. By what percent did sales decrease from March to April?
- 20%
- 25% (Correct answer)
- 30%
- 33%
Correct answer: 25%
(120 − 90) ÷ 120 × 100 = 30 ÷ 120 × 100 = 25%.
Question 5: A graph shows that as the price of a product increases, the number of items sold decreases. This is an example of:
- Positive correlation
- No correlation
- Negative correlation (Correct answer)
- Constant correlation
Correct answer: Negative correlation
When one variable increases and the other decreases, that is a negative correlation.
Question 6: A pictograph shows: Monday=3 stars, Tuesday=5 stars, Wednesday=4 stars. Each star = 10 items sold. How many total items were sold across all three days?
- 100
- 110
- 120 (Correct answer)
- 130
Correct answer: 120
(3+5+4) × 10 = 12 × 10 = 120 items.
Question 7: A table shows the number of students in four classes: Class A=28, Class B=32, Class C=25, Class D=31. Which measure best represents the typical class size?
- The range
- The mean (Correct answer)
- The maximum
- The minimum
Correct answer: The mean
The mean (average) best represents a typical value in a data set.
ITBS Data Interpretation and Graphs 5
A line graph shows plant growth: Week1=2cm, Week2=5cm, Week3=9cm, Week4=14cm.
What is the pattern of growth?