PSAT/NMSQT Data Interpretation & Analysis 2 — Questions and Answers
Question 1: A bar graph shows sales of 40, 55, 35, and 70 units across four months. What is the mean number of units sold per month?
- 50 (Correct answer)
- 55
- 45
- 60
Correct answer: 50
The sum is 40+55+35+70=200, divided by 4 months equals 50.
Question 2: A line graph shows a value rising from 20 to 50 over 6 hours at a constant rate. What is the rate of change per hour?
- 5 per hour (Correct answer)
- 6 per hour
- 10 per hour
- 3 per hour
Correct answer: 5 per hour
The change is 50-20=30 over 6 hours, so 30/6=5 per hour.
Question 3: A pie chart shows 25% of students prefer math. If 240 students were surveyed, how many prefer math?
- 60 (Correct answer)
- 75
- 48
- 96
Correct answer: 60
25% of 240 is 0.25 × 240 = 60.
Question 4: A scatterplot shows points trending downward from left to right. What does this indicate about the two variables?
- A negative association (Correct answer)
- A positive association
- No association
- An exact equality
Correct answer: A negative association
A downward trend means as one variable increases, the other decreases, a negative association.
Question 5: A table lists test scores: 80, 85, 90, 90, 95. What is the median score?
- 90 (Correct answer)
- 88
- 85
- 92
Correct answer: 90
With five ordered values, the median is the middle (third) value, 90.
Question 6: A frequency table shows a value of 12 appearing more than any other in a dataset. What is 12 called?
- The mode (Correct answer)
- The mean
- The range
- The median
Correct answer: The mode
The mode is the value that occurs most frequently.
Question 7: A dataset has values from 15 to 63. What is the range?
- 48 (Correct answer)
- 78
- 39
- 63
Correct answer: 48
The range is the maximum minus the minimum: 63-15=48.
A bar graph shows sales of 40, 55, 35, and 70 units across four months.
What is the mean number of units sold per month?