BSEP Data Interpretation and Graphs 4 — Questions and Answers
Question 1: A scatter plot shows student study hours on the x-axis and test scores on the y-axis. The points trend upward from left to right. What does this indicate?
- No relationship between study hours and scores
- A negative correlation between study hours and scores
- A positive correlation between study hours and scores (Correct answer)
- Study hours cause lower test scores
Correct answer: A positive correlation between study hours and scores
An upward trend in a scatter plot indicates a positive correlation, meaning as study hours increase, test scores tend to increase.
Question 2: A double bar graph shows sales for Store A and Store B over four quarters. In Q3, Store A's bar reaches 450 and Store B's bar reaches 380. What is the difference in Q3 sales?
- 60
- 70 (Correct answer)
- 80
- 90
Correct answer: 70
The difference is 450 − 380 = 70.
Question 3: A line graph shows temperature readings at 6 AM, 12 PM, 6 PM, and midnight. The steepest rise occurs between 6 AM and 12 PM. What does a steep rise on a line graph represent?
- A slow rate of increase
- A rapid rate of increase (Correct answer)
- A constant temperature
- A decrease in temperature
Correct answer: A rapid rate of increase
A steep slope on a line graph means the value is changing quickly over a short time period.
Question 4: A table lists five employees and their weekly hours: 32, 45, 40, 38, 45. What is the mode of the data set?
- 38
- 40
- 45 (Correct answer)
- 32
Correct answer: 45
The mode is the value that appears most often; 45 appears twice while all others appear once.
Question 5: A pie chart shows how a family spends its monthly budget. The 'Food' slice is labeled 30% and the 'Rent' slice is labeled 40%. If the total budget is $3,000, how much is spent on Food and Rent combined?
- $1,800
- $2,000
- $2,100 (Correct answer)
- $2,200
Correct answer: $2,100
Food + Rent = 30% + 40% = 70% of $3,000 = $2,100.
Question 6: A histogram shows the distribution of ages in a neighborhood. The tallest bar spans ages 30–39. What does the tallest bar in a histogram represent?
- The oldest group in the data
- The group with the highest frequency (Correct answer)
- The group with the lowest frequency
- The average age
Correct answer: The group with the highest frequency
In a histogram, bar height represents frequency, so the tallest bar shows the most common range of values.
Question 7: A table shows rainfall in inches for each month of the year. June has 4.2 inches, July has 5.8 inches, and August has 3.9 inches. What is the average rainfall for these three summer months?
- 4.5 inches
- 4.6 inches
- 4.63 inches (Correct answer)
- 4.7 inches
Correct answer: 4.63 inches
Average = (4.2 + 5.8 + 3.9) ÷ 3 = 13.9 ÷ 3 ≈ 4.63 inches.
BSEP Data Interpretation and Graphs 4
A scatter plot shows student study hours on the x-axis and test scores on the y-axis.
The points trend upward from left to right.
What does this indicate?