6.DS.1
Lesson 2-1-part2
Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice
2.1 · Part II
Second Practice Form · Independent Application and Spiral Review
Statistical Questions and Data · Statistical Question
■ ADVANCED CONCEPT ANCHOR: 2.1 · Part II
1Statistical Questions & Variability
2The Structural Procedure
- Statistical Question: Expects answers that vary across people, trials, or items
- Non-Statistical Question: Has one single fixed answer
- Data Collection: Gather varied data points to create a distribution
3Mathematical Word Bank
- Statistical Questions and Data (Preguntas estadísticas y datos) — A statistical question expects varied answers that can be collected as data.
- Statistical Question (Pregunta estadística) — A question where the answers will be different for different people.
- Non-statistical Question (Pregunta no estadística) — A question that has just one fixed answer that is the same no matter who you ask, so there is no data to collect.
- Data (Datos) — Facts and numbers you collect, like answers to a survey.
- Variability (Variabilidad) — How spread out the numbers are.
- Survey (Encuesta) — Collecting facts by asking people questions.
4Watch out
- A common mistake in Statistical Questions and Data is judging a question by its topic or its numbers instead of its variability. Students see a question about ONE player, ONE game, or ONE fixed fact — like "How many points does the team need to win a game?" — and call it statistical just because it has a number or is about sports. Or they see a question about a single player's whole season, like "How many touchdowns did the quarterback throw this season?", and call it NOT statistical because only one player is named, forgetting that a season covers many games with a different result each time. Both errors skip the real test: will the answers actually differ from case to case (game to game, player to player)? If yes, it is a statistical question; if there is one fixed answer, it is not.
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1 MULTIPLE CHOICE
Which of these would collect data that VARIES (making it a statistical question)?
- AHow many days are in one week?
- BHow many siblings does each student in the class have?
- CHow many minutes are in one hour?
- DWhat is 12 + 12?
✏️ Workspace & Solution Steps -
2 MULTIPLE CHOICE
The team analyst writes four questions for the scouting report. Which one is a statistical question?
- AHow many rebounds does each player grab per game?
- BHow many points is a single free throw worth?
- CWhat is the height of the basketball rim?
- DHow many timeouts does each team get per half?
✏️ Workspace & Solution Steps -
3 MULTIPLE CHOICE
Which rewrite turns 'What is my resting heart rate?' into a statistical question?
- AIs my heart rate high?
- BWhat is a heart rate?
- CWhat is the teacher's heart rate?
- DWhat are the resting heart rates of students in my class?
✏️ Workspace & Solution Steps -
4 MULTIPLE CHOICE
Which of the following is a statistical question?
- AHow many points did each player score this season?
- BHow many points are scored for a free throw?
- CWhat sport does this team play?
- DHow many halves are in a soccer game?
✏️ Workspace & Solution Steps -
5 MULTIPLE CHOICE
Which question is NOT a statistical question?
- AHow many innings are in a baseball game?
- BHow many home runs did each player hit this year?
- CHow many miles does each runner train per week?
- DHow tall is each player on the basketball team?
✏️ Workspace & Solution Steps -
6 MULTIPLE CHOICE
Why is 'How many hours of sleep did each student get last night?' a statistical question?
- ABecause different students got different amounts of sleep
- BBecause it asks about sleep
- CBecause hours are numbers
- DBecause the answer is always 8 hours
✏️ Workspace & Solution Steps
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0)
SMP.3 / Proof & Justification
Writing Task: Justify why your mathematical solution is accurate and complete.
C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.