TCAP Data Analysis 3 — Questions and Answers
Question 1: The ages of players on a soccer team are: 12, 13, 13, 14, 14, 14, 15, 16. What is the mode?
- 13
- 14 (Correct answer)
- 15
- 13 and 14
Correct answer: 14
14 appears three times, more than any other value, making it the mode.
Question 2: A pictograph uses a symbol where each ☆ represents 4 students. If the 'Art' row shows 5 stars, how many students chose Art?
- 5
- 10
- 15
- 20 (Correct answer)
Correct answer: 20
5 stars × 4 students per star = 20 students.
Question 3: A double bar graph compares boys' and girls' scores on a math test. Girls scored 85 and boys scored 75. By how many points did girls outscore boys?
- 5
- 10 (Correct answer)
- 15
- 20
Correct answer: 10
85 − 75 = 10 points difference.
Question 4: Which display is best for showing how a whole is divided into parts?
- Line graph
- Stem-and-leaf plot
- Pie chart (Correct answer)
- Scatter plot
Correct answer: Pie chart
A pie chart (circle graph) shows parts of a whole as slices of a circle.
Question 5: A data set has values 5, 7, 7, 8, 10, 12. What is the range?
- 5
- 7 (Correct answer)
- 7.5
- 10
Correct answer: 7
Range = maximum − minimum = 12 − 5 = 7.
Question 6: On a coordinate grid, a student plots the point (4, 9) from a data table where x = hours of practice and y = free throws made. What does this point represent?
- 4 free throws in 9 hours
- 9 hours and 4 free throws
- 4 hours of practice and 9 free throws (Correct answer)
- 9 hours of practice and 4 free throws
Correct answer: 4 hours of practice and 9 free throws
In an ordered pair (x, y), x = 4 represents 4 hours of practice and y = 9 represents 9 free throws made.
Question 7: A histogram shows test scores grouped in intervals: 60–69, 70–79, 80–89, 90–99. The tallest bar is 80–89. What does this tell you?
- No students scored in 80–89
- Most students scored between 80 and 89 (Correct answer)
- The average score is 85
- All students passed
Correct answer: Most students scored between 80 and 89
The tallest bar in a histogram represents the interval with the greatest frequency (most data values).
TCAP Data Analysis 3
The ages of players on a soccer team are: 12, 13, 13, 14, 14, 14, 15, 16.
What is the mode?