# Light bulbs and statistics

Use statistics to explore electricity usage.

• 2 activities
• 40 mins

#### Big idea

Develop your students’ ability to use statistics to analyze electricity consumption.

#### Learning objectives

In these activities, students will:

• Estimate whether their household light bulb usage is above or below average and analyze class data using measures of variance (central tendency and standard deviation).
• Use primary data on the number of lights in their home to calculate and interpret z-scores.
• Use mathematical evidence to draw sound mathematical conclusions about their home's energy usage.

#### Content

• Applications of Statistics:
• Variation occurs in observation
• How do we analyze data and make decisions?
• How would you describe variation?
• When analyzing data, what are some factors that need to be considered before making an inference?
• Posing a question about an observed variation, collecting and interpreting data, to answer the question
• Measures of central tendency, standard deviation, z-scores and distribution

#### Curricular competencies

##### Reasoning and modelling
• Explore, analyze, and apply mathematical ideas using reason, technology, and other tools
##### Understanding and solving
• Visualize to create and use mental images to support understanding
• Develop, demonstrate and apply mathematical understanding through inquiry and problem-solving
##### Connecting and reflecting
• Reflect on mathematical thinking
• Connect mathematical concepts with each other, other areas, and personal interests
• Use mistakes as opportunities to advance learning

#### Background info

To complete these activities, students would need to understand the concepts of central tendency and standard deviation.

#### Assessments

• Understand the statistical concept of variance and measures of mean and standard deviation;
• Connect personal experiences within a broader context (the community);
• Use appropriate vocabulary (e.g., variance, mean, and standard deviation) in their explanations;
• Pay close attention to appropriate details; and
• Use mathematical evidence to make sound mathematical decisions or conclusions.