Toon Stats Student Packet
Day 1: Graphing Challenge
TOON RUNTIME RUMBLE
Toon Stats
Student Name
Date & Period
The Pitch: Cartoon Network is scheduling a throwback marathon, and the program directors need to know which eras are represented in the archive! Below is a list of show abbreviations representing the 20 classic episodes currently in the marathon queue.
[DL] Dexter's Lab [PPG] Powerpuff Girls [CCD] Courage the Dog [E3] Ed, Edd n Eddy
Raw Archives
DL • PPG • E3 • DL • CCD • PPG • E3 • DL • DL • E3 • PPG • CCD • DL • E3 • PPG • CCD • DL • E3 • PPG • DL
Task 1: Complete the Tally Chart
| Show Name (Abbreviation) | Tally Marks | Frequency (Number) |
|---|
| Dexter's Laboratory (DL) | | |
| The Powerpuff Girls (PPG) | | |
| Courage the Cowardly Dog (CCD) | | |
| Ed, Edd n Eddy (E3) | | |
Task 2: Create Your Bar Graph
Label the y-axis with numbers (0-10) and shade the boxes to represent the episode frequency for each show category.
Frequency (Episodes)
10
8
6
4
2
0
DL
PPG
CCD
E3
Day 1 Reflection
Based on your graph, which show has the highest presence in the queue, and what fraction of the total lineup does it represent?
Cartoon Network Stats Packet Page 1 of 4
Day 2: Probability Matrix
THE MYSTERY TOON DECK
Toon Stats
Student Name: __________________________________ Date: ________________
The Draw: In an upcoming Toon Smash trading card tournament, a promotional starter deck contains character cards from modern Cartoon Network eras. The deck contains exactly 20 randomly shuffled cards:
8
Steven Universe
6
Adventure Time
4
Regular Show
2
Teen Titans Go!
Task 1: Single-Card Probabilities
Calculate the theoretical probability of randomly drawing a single card from the full deck. Write your answers in simplified fraction form, decimal form, and percentage form.
| Event (Draw Choice) | Fraction Form | Decimal Form | Percentage Form |
|---|
| Steven Universe | | | |
| Adventure Time | | | |
| Regular Show | | | |
| Teen Titans Go! | | | |
Task 2: Probability Problems
1. What is the probability of drawing an Adventure Time card OR a Regular Show card? Show your formula and calculation.
Calculation Steps
Final Probability
2. If you draw one card and get a Steven Universe card, and do not put it back (no replacement), what is the probability that the second card drawn is a Teen Titans Go! card?
Calculation Steps
Final Probability
Task 3: Likelihood Scaling
Describe the likelihood of drawing: (A) Any card that is not Ben 10, and (B) A classic show card from Dexter's Lab. Write Certain, Likely, Unlikely, or Impossible.
Event A: Non-Ben 10 card:
Event B: Dexter's Lab card:
Cartoon Network Stats Packet Page 2 of 4
Day 3: Spread and Deviations
THE OUTLIER ARCHIVE
Toon Stats
Student Name: __________________________________ Date: ________________
The Anomaly: The runtime of standard cartoon episodes on Cartoon Network is typically 11 minutes. However, series finales, pilot episodes, and full-length movies can vary widely. Below are the runtimes (in minutes) of 10 episodes in a program block.
Runtime Database
Ep 1: 11 min
Ep 2: 11 min
Ep 3: 22 min
Ep 4: 11 min
Ep 5: 90 min
Ep 6: 11 min
Ep 7: 22 min
Ep 8: 11 min
Ep 9: 11 min
Ep 10: 11 min
Task 1: Ascending Order
Arrange the runtimes from least to greatest:
Task 2: Calculate Range
Show the difference between max and min values:
Task 3: Outlier Extraction
Which runtime value stands out as significantly different from the rest? Identify the numerical outlier and write a mathematical explanation of *why* it is considered an outlier compared to the rest of the dataset.
Outlier Value
Justification & Reasoning
Task 4: Recalculate and Analyze Impact
Remove the outlier runtime from your dataset and calculate the new range. Explain in your own words how the outlier impacted the original range value.
New Range Calculation
Analytical Explanation
Day 3 Brain Teaser
If you added a show movie of 120 minutes to the original database, how would that affect the range?
Cartoon Network Stats Packet Page 3 of 4
Day 4: Master Assessment
TOON FINALE CHALLENGE
Toon Stats
Student Name: __________________________________ Date: ________________
This cumulative review test assesses your statistical mastery of the previous three days. Show all calculations clearly in the provided blank boxes to receive maximum performance credit.
Viewer Database
Premiere Viewership (Millions)
Five classic series premiere airings logged the following viewer counts:
3.2m • 2.1m • 1.5m • 8.8m • 2.4m
Question 1: Visual Representation
Identify the numerical outlier from the viewer counts and calculate range below.
Identify Outlier
Calculate Range (With Outlier)
Question 2: Probability Draw
What is the mathematical probability that a randomly chosen premiere from this list of 5 had more than 2.0 million viewers? Express your result as a fraction and percentage.
Formula and Work
Fraction and Percentage
Question 3: Analytical Reasoning
If the studio removes the outlier data point, what is the new range? Show calculation.
My Toon Proposal
Propose your own custom Cartoon Network series. What category does it fall under, and what standard runtime (in minutes) would you choose for its typical episodes so that it is not considered an outlier?
Cartoon Network Stats Packet Page 4 of 4
Toon Stats Teacher Guide
Confidential Teacher Resource
TOON STATS TEACHER GUIDE
IEP Companion
Instructional Intent This 4-day statistics packet bridges foundational data concepts with high school standards. Utilizing familiar Cartoon Network narratives reduces cognitive entry barriers for diverse learners, specifically targeted for students with mild-to-moderate disabilities on IEP math goals.
Core CCSS Standards Alignment
CCSS.MATH.ID.A.1 Represent data with plots on the real number line (dot plots, histograms, bar graphs).
CCSS.MATH.ID.A.2 Use statistics appropriate to the shape of the data distribution to compare center & spread.
CCSS.MATH.ID.A.3 Interpret differences in shape, center, and spread in the context of data (outliers).
Actionable IEP Goals & Mastery Benchmarks
| Target Skill Area | Draft Goal Language (Add to IEP) | Mastery Evidence |
|---|
| 1. Data Representation | "When given a raw data list of up to 20 items, Student will construct a frequency tally table and bar graph with 80% accuracy across 3 trials." | Day 1 Packet • Task 1 & 2 |
| 2. Basic Probability | "Given a standard sample space, Student will express single-event probabilities as fractions, decimals, and percentages on 4 out of 5 opportunities." | Day 2 Packet • Task 1 |
| 3. Outlier Analysis | "Given a 10-point dataset, Student will identify any numerical outlier and mathematically calculate the range both with and without the outlier." | Day 3 Packet • Task 3 & 4 |
SDI & Accommodation Strategies
• Visual Anchor Charts: Provide students with pre-filled models showing the conversion between decimals, percentages, and fractions (e.g., \(1/2 = 0.5 = 50\%\)) to support work on Day 2.
• Reduced Motor Output: For Day 1, let students draw simpler checkmarks instead of tally marks if fine motor grip is fatigued. Allow digital coloring for the bar graph.
• Conceptual Anchoring: Explain "Outlier" using the concept of "the one character who does things totally differently" (e.g., Mojo Jojo in a room of Powerpuff Girls) before applying the numerical definition.
Toon Stats Challenge Teacher Guide Page 1 of 3
Official Solution Keys
ANSWER KEY: DAYS 1 & 2
Direct Solutions
DAY 1
Toon Runtime Rumble (Tallying & Graphing)
