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Statistical Questions

Categorical vs. Numerical Data

Free printable and online worksheets to help Grade 6 students review how to distinguish between statistical questions and those that are not statistical. How to formulate a statistical question and explain what data could be collected to answer the question.

Statistical questions are questions that anticipate variability in the data and require data collection and analysis to answer. These questions generally focus on understanding trends, patterns, or differences within a dataset. They are designed to be answered using statistical methods and often involve concepts like averages, distributions, probabilities, and comparisons.

Characteristics of Statistical Questions:

- Statistical questions assume that there will be variability in the data collected. This means that the answers will not be the same for every respondent or observation.
- Answering statistical questions involves gathering data through surveys, experiments, observations, or existing datasets.
- The questions often require some form of statistical analysis, such as calculating mean, median, mode, range, standard deviation, or creating graphs and charts to interpret the data.

Examples of Statistical Questions:

- What is the average height of students in a school?

This question expects variability in the heights of students and requires measuring the heights of multiple students and then calculating the average. - How many hours per week do people spend on exercise?

This question anticipates differences in exercise habits among people and involves collecting data on exercise hours from a sample of people. - Is there a difference in test scores between students who study with music and those who study in silence?

This question implies a comparison between two groups and requires data collection on test scores from both groups.

Non-statistical questions typically have a single, specific answer and do not involve data variability or analysis. They are often factual.

Examples:

- What is the capital of France?

The answer is a single fact: Paris. - How many days are in a week?

The answer is a single, fixed number: 7. - What is the boiling point of water at sea level?

The answer is a specific value: 100 degrees Celsius.

Summary:

Statistical questions are integral to the field of statistics as they prompt the collection and analysis of data to understand patterns, trends, and differences within a dataset. These questions recognize that data can vary and require statistical methods to provide meaningful answers.

Have a look at this video if you need to review how to distinguish statistical and non statistical questions.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Statistical Questions Worksheets**.

**Printable**

(Answers on the second page.)

Statistical Questions Worksheet #1

Statistical Questions Worksheet #2

Statistical Questions Worksheet #3

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