FAST Data Visualization and Interpretation 2 — Questions and Answers
Question 1: A scatter plot shows a cluster of points in the upper-right quadrant and another cluster in the lower-left quadrant. What does this pattern most likely indicate?
- A negative correlation between the two variables
- A positive correlation between the two variables (Correct answer)
- No correlation between the two variables
- A perfect linear relationship with no variation
Correct answer: A positive correlation between the two variables
Points clustering in upper-right and lower-left quadrants indicate that as one variable increases, the other also tends to increase — a positive correlation.
Question 2: A pie chart shows four slices labeled A (45°), B (90°), C (135°), and D (90°). What percentage of the total does slice C represent?
- 25%
- 30%
- 37.5% (Correct answer)
- 45%
Correct answer: 37.5%
A full circle is 360°, so slice C at 135° represents 135/360 = 37.5% of the total.
Question 3: On a double bar chart comparing male and female test scores across four grade levels, you notice the female bars are consistently taller. What conclusion is best supported?
- Males score higher on average across all grades
- Females score higher on average across all grades (Correct answer)
- The difference is too small to draw any conclusion
- The chart is incorrectly drawn
Correct answer: Females score higher on average across all grades
If female bars are consistently taller across all four grade levels, the data supports that females score higher on average.
Question 4: A line graph shows sales rising steeply from January to March, then leveling off through June, then declining through December. Which term best describes the January–March segment?
- Plateau
- Trough
- Upward trend (Correct answer)
- Seasonal adjustment
Correct answer: Upward trend
A steep rise in data values over a period of time is called an upward trend.
Question 5: A histogram has bars of heights 5, 12, 20, 15, and 8 for five consecutive intervals. Which interval contains the mode class?
- First interval
- Second interval
- Third interval (Correct answer)
- Fourth interval
Correct answer: Third interval
The mode class in a histogram is the interval with the tallest bar, which is the third interval with a height of 20.
Question 6: A table shows five cities' populations and park areas. City X has 500,000 people and 250 acres of parks. What is its park-to-population ratio in acres per 1,000 residents?
- 0.5 acres per 1,000 (Correct answer)
- 2 acres per 1,000
- 5 acres per 1,000
- 0.05 acres per 1,000
Correct answer: 0.5 acres per 1,000
250 acres ÷ 500 (thousands of residents) = 0.5 acres per 1,000 residents.
Question 7: A box plot shows a median line very close to the top of the box (near the third quartile). What does this suggest about the data distribution?
- The data is symmetrically distributed
- The data is negatively (left) skewed (Correct answer)
- The data is positively (right) skewed
- The data has no outliers
Correct answer: The data is negatively (left) skewed
When the median is close to the upper quartile (Q3), most data is concentrated at the higher end, indicating left (negative) skew with a long tail toward lower values.
FAST Data Visualization and Interpretation 2
A scatter plot shows a cluster of points in the upper-right quadrant and another cluster in the lower-left quadrant.
What does this pattern most likely indicate?