Use normal distributions to calculate and interpret probabilities, percentiles, and z-scores, compare relative positions across distributions, and recognize that probabilities represent areas under a continuous curve. Construct and interpret single-predictor linear regression models using slope, intercept, residuals, and , and interpret correlation coefficients in context while distinguishing association from causation. Evaluate sampling methods, sources of bias, confidence intervals, margins of error, significance, variability, and statistical claims, distinguishing statistical significance from practical importance and recognizing the limits of generalization.
On this page:
- Master skills like “Calculate and interpret z-scores”, “Interpret correlation coefficients”, and “Construct and interpret regression models” with unlimited, free practice problems
- Download (or modify) free worksheets on Statistical Analysis you can use at home or in class with practice problems across all skills in this group including “Apply properties of the normal distribution”, “Evaluate statistical claims and conclusions”, “Evaluate sampling methods and sources of bias”.
- Start working on adaptive units like “Probability and Statistics - Standard Deviation and Z-Scores - Practice” or “Probability and Statistics - Standard Deviation and Z-Scores - Intro” that include these skills and will introduce and scaffold the skills carefully for maximum learning.
Statistical Analysis: Individual Skills
Master 9 individual skills with free practice problems. Mouseover to see the skill's practice problems. Create a free account to track your progress.
Your results
- Apply properties of the normal distribution
- Calculate and interpret z-scores
- Calculate probabilities using normal distributions
- Compare data values from different distributions
- Construct and interpret regression models
- Determine percentiles from normal distributions
- Evaluate sampling methods and sources of bias
- Evaluate statistical claims and conclusions
- Interpret correlation coefficients
Practice 'Apply properties of the normal distribution'
Select any skill in this group by hovering over the list above. Unlimited free practice problems, automatically graded.
Hover a skill above to start practicing.
Download/Modify Free Grade 12 'Statistical Analysis' Worksheet
Print this free 'Statistical Analysis' worksheet to practice these skills away from the computer. Click 'Modify' to easily customize this worksheet to your exact needs.
This Worksheet Includes:
- Apply properties of the normal distribution
- Calculate and interpret z-scores
- Calculate probabilities using normal distributions
- Compare data values from different distributions
- Construct and interpret regression models
- Determine percentiles from normal distributions
- Evaluate sampling methods and sources of bias
- Evaluate statistical claims and conclusions
Units Teaching These Skills
These adaptive units introduce, teach, or reinforce skills in this group (Statistical Analysis) through scaffolded problems that grow in difficulty as concepts are understood.