# Ch 4: Common Core HS Statistics & Probability: Making Inferences with Data

Let us help you teach your high school students about making inferences with data to fulfill the requirements for Common Core. Lessons in this chapter offer advice about how you can utilize the lessons in your classroom in addition to learning how to recognize when students have fully mastered the standard.

Standard: Understand statistics as a process for making inferences about population parameters based on a random sample from that population. (CCSS.Math.Content.HSS.IC.A.1)

Standard: Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. (CCSS.Math.Content.HSS.IC.A.2)

Standard: Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. (CCSS.Math.Content.HSS.IC.B.3)

Standard: Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. (CCSS.Math.Content.HSS.IC.B.4)

Standard: Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.. (CCSS.Math.Content.HSS.IC.B.5)

Standard: Evaluate reports based on data. (CCSS.Math.Content.HSS.IC.B.6)

A solid understanding of how to use data to make inferences can help students plan experiments and determine which type of group to collect data from. Students who comprehend the elements required in making inferences can estimate parameters from sample data and develop a margin of error using simulation models.

The lesson topics for this standard include:

• The difference between parameters and statistics
• Measures used for random sampling
• Gathering data for evidence of the strength of a model
• Experiments versus observational studies
• Differences between random selection and random allocations
• Using simulation to determine significance of differences in groups
• Using data to evaluate reports

You'll know your students grasp these concepts when they can define random sampling and design randomized experiments. These standards and lessons can prepare students for college and for careers in engineering, construction, finance or science.

### How to Use These Lessons in Your Classroom

Below are suggestions from Study.com that you could include in your regular curriculum to help you meet Common Core standards.

#### Sample Identification Lessons

Assign the video lessons on samples and populations in research as a homework or in-class assignment. Choose a topic to be researched and have students identify what a random, stratified, quota or convenience sample would look like for this topic.

#### Random Selection and Random Allocation Lessons

Watch lessons on estimating parameters from sample data and developing a margin of error in class. Find a population survey that you can present in class. Have students find the mean and develop a margin of error using the statistical data.

#### Pre-Quiz and Post-Quiz Lessons

Have students take the quizzes for the chapters on using simulations to determine significant group differences and report evaluation to become familiar with these concepts. Watch the video lessons and then have students take the quizzes again to see how well they comprehended the information.

8 Lessons in Chapter 4: Common Core HS Statistics & Probability: Making Inferences with Data
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Chapter Practice Exam
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Practice Final Exam
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