Understand Statistical Questions
Name Period
Objectives / Objetivos
Content Objective: I can tell the difference between a statistical question and a non-statistical question.
Language Objective: I can explain my reasoning using the words statistical question, data, variability, and survey.
Key Idea / Idea clave
Statistical Questions & Variability. 1. Statistical Question: Expects answers that vary across people, trials, or items. 2. Non-Statistical Question: Has one single fixed answer. 3. Data Collection: Gather varied data points to create a distribution
I Notice / Observo
- Which questions could have many different answers?
- Which questions have only one exact answer?
I Wonder / Me pregunto
- Why would a coach care about questions with variability?
Vocabulary / Vocabulario
| Term / Término | Definition / Definición |
|---|---|
| Statistical Questions and Data Preguntas estadísticas y datos | A statistical question expects varied answers that can be collected as data. Una pregunta estadística espera respuestas variadas que se pueden recopilar como datos. |
| Statistical Question Pregunta estadística | A question answered with data that are expected to vary. Una pregunta que se responde con datos que se espera que varíen. |
| Non-statistical Question Pregunta no estadística | A question that does not anticipate variability in the data used to answer it. It may ask for one fact or measurement. Una pregunta que no anticipa variabilidad en los datos usados para responderla. Puede pedir un solo dato o una medición. |
| Data Datos | Facts and numbers you collect, like answers to a survey. Datos y números que recoges, como respuestas a una encuesta. |
| Variability Variabilidad | How spread out the numbers are. Qué tan separados están los números. |
| Survey Encuesta | Collecting facts by asking people questions. Recoger datos haciendo preguntas a las personas. |
Practice Preview / Vista previa de práctica
Read each task. Show your work in the spaces provided and explain how you know.
1. Which of the following is a statistical question?
- A How many points did each player score this season?
- B How many points are scored for a free throw?
- C What sport does this team play?
- D How many halves are in a soccer game?
Answer:
2. A coach asks: "How many hours does each athlete on the track team sleep the night before a meet?" Why is this a statistical question?
- A Because it is about sports
- B Because it has a numerical answer
- C Because the answers will vary from athlete to athlete
- D Because the coach asked it
Answer:
3. Decide if each question is statistical and explain why.
Complete each empty cell. Show your reasoning below.
| Question | Statistical? | Why? |
|---|---|---|
| How many push-ups can each student do in one minute? | ||
| How many sides does a basketball court have? | ||
| How far does each player kick the ball? |
4. Find the Reasoning Error
Which step has the mistake, and what should it be?
Reflection / Reflexión
One thing I learned today / Una cosa que aprendí hoy: