Statistics Unit 2

Big Idea:

Normal Distribution & z-scores

Student Expectations:

Focus Standards

I. Exploring Data: Describing patterns and departures from patterns

B. Summarizing distributions of univariate data

3. Measuring position: quartiles, percentiles, standardized scores (z-scores)

III. Anticipating Patterns: Exploring random phenomena using probability and Simulation.

C. The normal distribution

1. Properties of the normal distribution

2. Using tables of the normal distribution

3. The normal distribution as a model for measurements

Student Learning Targets:

• I will describe the location of an observation with a percentile
• I will describe the location of an observation with a z-score
• I will interpret a z-score in context
• I will use the Empirical Rule (68-95-99.7)
• I will find areas and percentiles in Standard Normal distribution
• I will perform Normal distribution calculations and interpret results
• I will justify if a distribution is Normal

Essential Questions:

• What is a density curve and how do they relate to probability?
• How do you determine probabilities under the Normal distribution?
• How is the Normal distribution used to model data sets?
• Why is the Normal distribution essential to the study of statistics?
• How does the Normal Distribution apply to the real world?
• What do z-scores tell you about the data being examined?

Extra Information:

Adopted Textbook:

District Grading Policy

Texas Gateway Online Resource Center