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Grade 6 Statistics Practice: Classify Statistical vs Non-Statistical Questions
Mathematics (Statistics)
Grade 6 of Primary School
Question Content
Determine whether each question is an example of a statistical question. Drag each question to the correct classification in the table. Questions: 1. What is Steve's favorite sport? 2. How many books are on the shelf in your math class? 3. What is the height of each player on the basketball team? 4. What was the temperature outside the school at 8 o'clock this morning? 5. What is the number of tickets sold at the movie theater each day this month?
Correct Answer
Statistical Question: - What is the height of each player on the basketball team? - What is the number of tickets sold at the movie theater each day this month? Not a Statistical Question: - What is Steve's favorite sport? - How many books are on the shelf in your math class? - What was the temperature outside the school at 8 o'clock this morning?
Detailed Solution Steps
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Step 1: Recall the definition of a statistical question: A statistical question is one that can be answered by collecting data that has variability (multiple different possible values). A non-statistical question has a single, fixed answer.
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Step 2: Analyze each question: - "What is Steve's favorite sport?": Has only one fixed answer (Steve has one favorite sport), so it is not a statistical question. - "How many books are on the shelf in your math class?": Has one fixed numerical answer when counted, so it is not a statistical question. - "What is the height of each player on the basketball team?": Collecting data will give multiple different heights (variability), so it is a statistical question. - "What was the temperature outside the school at 8 o'clock this morning?": Has one fixed measured value, so it is not a statistical question. - "What is the number of tickets sold at the movie theater each day this month?": The number of tickets sold will vary each day, so collecting data gives multiple values, making it a statistical question.
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Step 3: Sort each question into the correct category based on the analysis.
Knowledge Points Involved
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Statistical Question Definition
A statistical question is a question that anticipates variability in the data used to answer it. It requires collecting multiple data points, and the answers will not all be the same. It is used to analyze trends, distributions, or patterns in a set of data.
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Non-Statistical Question
A non-statistical question has a single, definite answer. It does not involve collecting variable data; there is only one correct response that does not change based on different data points.
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Data Variability
Data variability refers to the presence of differences in a set of data values. This is the key characteristic that distinguishes statistical questions from non-statistical ones—statistical questions rely on data with variability to provide meaningful analysis.
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