Box Plot Practice Worksheet
Review Problem TEKS S(3)(D) • CCSS HSS.ID.A.2
Box Plot Analysis: Marine Nesting Data
Name:
Date:
Class:
Score: / 7
Directions: Use the information and box plot below to complete the five-number summary and answer questions 1–6. The box plot represents the number of sea turtle nests documented across 12 protected coastal reserves during the nesting season.
28 54 76.5 132 195 0 50 100 150 200
Five-Number Summary:
Min: _____ \(Q_1\) (25th %): _____ Median (50th %): _____ \(Q_3\) (75th %): _____ Max: _____
TEK S(3)(D) Lower Quartile
1. What value represents the 25th percentile?
A. 25
B. 28
C. 54
D. 76.5
TEK S(3)(D) 50th Percentile / Median
2. What value represents the 50th percentile (median)?
A. 50
B. 54
C. 76.5
D. 100
TEK S(3)(D) Upper Quartile
3. What value represents the 75th percentile?
A. 75
B. 132
C. 150
D. 195
TEK S(3)(D) Quartile Percentages
4. What percentage of the data lies below 54 nests?
A. 25%
B. 50%
C. 54%
D. 75%
TEK S(3)(D) Spread • IQR
5. What is the interquartile range (IQR)?
A. 78
B. 167
C. 200
D. 76.5
TEK S(3)(D) Distribution Shape
6. Which describes the skewness of the box plot?
A. Approximately symmetric
B. Positively skewed (skewed right)
C. Negatively skewed (skewed left)
D. Skewness cannot be determined
Page 1 of 2 • Review Worksheet Turn over for Quiz Assessment →
Quiz Assessment TEKS S(3)(D) • CCSS HSS.ID.A.2
Box Plot Assessment: Exam Scores
Name:
Date:
Class:
Score: / 7
Directions: Use the information and box plot below to complete the five-number summary and answer questions 7–12. The box plot represents the scores of 80 candidates on an aerospace technician exam (out of 100 points).
52 74 88.5 94 99 40 50 60 70 80 90 100
Five-Number Summary:
Min: _____ \(Q_1\) (25th %): _____ Median (50th %): _____ \(Q_3\) (75th %): _____ Max: _____
TEK S(3)(D) Lower Quartile
7. What value represents the 25th percentile?
A. 25
B. 52
C. 74
D. 88.5
TEK S(3)(D) 50th Percentile / Median
8. What value represents the 50th percentile (median)?
A. 50
B. 74
C. 88.5
D. 94
TEK S(3)(D) Upper Quartile
9. What value represents the 75th percentile?
A. 75
B. 88.5
C. 94
D. 99
TEK S(3)(D) Quartile Percentages
10. What percentage of candidates scored at or above 88.5?
A. 25%
B. 50%
C. 75%
D. 88.5%
TEK S(3)(D) Spread • IQR
11. What is the interquartile range (IQR)?
A. 47
B. 20
C. 94
D. 22
TEK S(3)(D) Distribution Shape
12. Which describes the skewness of the box plot?
A. Approximately symmetric
B. Positively skewed (skewed right)
C. Negatively skewed (skewed left)
D. Skewness cannot be determined
Page 2 of 2 • Quiz Assessment End of Assessment
Box Plot Answers Teacher Guide
Teacher Answer Key Review Problem Solutions
Part 1: Marine Turtle Nesting Analysis
Standard TEKS S(3)(D) • CCSS HSS.ID.A.2 Full Credit: 7 Points (1 pt per MCQ + 1 pt Summary)
Five-Number Summary Key:
Min: 28 \(Q_1\) (25th %): 54 Med (50th %): 76.5 \(Q_3\) (75th %): 132 Max: 195
Q1: 25th Percentile CORRECT: C (54)
Rationale: The 25th percentile is the first quartile (\(Q_1\)), the left edge of the central box at 54.
Distractor A (25): Confuses percentile rank with value. B (28): Minimum value.
Q2: 50th Percentile (Median) CORRECT: C (76.5)
Rationale: The 50th percentile is the median (\(Q_2\)), marked by the vertical divider inside the box at 76.5.
Distractor A (50): Percentile rank confusion. D (100): Number line midpoint.
Q3: 75th Percentile CORRECT: B (132)
Rationale: The 75th percentile is the third quartile (\(Q_3\)), forming the right edge of the central box at 132.
Distractor A (75): Percentile rank label. D (195): Maximum value (100th %).
Q4: Quartile Percentages CORRECT: A (25%)
Rationale: By definition, each quartile contains exactly 25% of the data. From Min (28) to \(Q_1\) (54) is 25%.
Distractor C (54%): Uses the score value 54 as a percentage.
Q5: Interquartile Range CORRECT: A (78)
Formula: \(\text{IQR} = Q_3 - Q_1 = 132 - 54 = 78\). This measures the middle 50% spread.
Distractor B (167): Full range (\(195 - 28\)). D (76.5): Median value.
Q6: Skewness CORRECT: B (Positively Skewed)
Rationale: The right whisker (\(195 - 132 = 63\)) is much longer than the left whisker (\(54 - 28 = 26\)), and the right box segment is wider.
Data is stretched out toward the high end (skew follows the long tail).
Key Teaching Point: Remind students that percentiles describe data positions (e.g., 25th, 50th, 75th), while quartiles divide the data into 4 sections, each containing 25% of observations regardless of whisker length.
