EngageNY
Normal Distributions (part 1)
Don't allow your pupils to become outliers! As learners examine normal distributions by calculating z-scores, they compare outcomes by analyzing the z-scores for each.
Virginia Department of Education
Normal Distributions
Pupils work to find probabilities by using areas under the normal curve. Groups work to calculate z-scores and solve real-world problems using the empirical rule or tables.
EngageNY
Normal Distributions (part 2)
From z-scores to probability. Learners put together the concepts from the previous lessons to determine the probability of a given range of outcomes. They make predictions and interpret them in the context of the problem.
Radford University
Are Kitchen Cabinets at the Correct Height? Lessons 1-5
Here's a not-so-normal unit on normal heights. Future statisticians anonymously collect class data on female heights, weights, and shoe sizes. They then analyze the data using normal distributions, z-scores, percentiles, and the...
Curated OER
Normal Curve Areas
In this normal curve areas activity, students follow 6 steps to compute the probability regarding the possible sample of proportions using a large sample population. First, they label the Ps-scale with the proportion and corresponding...
Curated OER
Z-Scores related to Psychology
In this z-score learning exercise, students identify the z-scores and percentiles corresponding to thirteen values. Students are also asked to find two probabilities. Worked solutions are provided after each question.
Virginia Department of Education
Organizing Topic: Data Analysis
Learners engage in six activities to lead them through the process of conducting a thorough analysis of data. Pupils work with calculating standard deviations and z-scores, finding the area under a normal curve, and sampling...
Radford University
Big Future - How SAT Scores Play a Role in College Acceptance
Understanding the importance of SAT scores is as easy as ABC. A set of three statistics lessons teaches scholars about normal distributions, the Empirical Rule, and z-scores. They apply their newfound knowledge to investigate data...
Radford University
What Is Normal?
Are you taller than a Major League Baseball player? Future mathematicians learn about normal distributions, percentiles, z-scores, and areas under a normal curve. They use the concepts to analyze height data of Major League Baseball...
Curated OER
Normal Curve Areas
In this normal curve areas worksheet, students follow 6 steps to compute probability regarding possible sample means using a large sample. First, they label the scale with the mean and corresponding standard deviations. Then, students...
Curated OER
Normal Curve Areas - Population
In this normal curve areas worksheet, students follow 6 steps to compute the probability regarding the values from the population. First, they label x-scale with the mean and corresponding standard deviations and shade the area(s) under...
Curated OER
Z-Scores
Learners solve problems by identifying the percent of area under the curve. In this statistics lesson, students discuss z-scores as they calculate the different percentages under the bell curve. They calculate the standard deviation.
Mathematics Vision Project
Module 8: Statistics
What does it mean to be normal in the world of statistics? Pupils first explore the meaning of a normal distribution in the eight-lesson module. They then apply the statistics related to normal distributions such as mean, standard...
Mathematics Vision Project
Module 9: Statistics
All disciplines use data! A seven-lesson unit teaches learners the basics of analyzing all types of data. The unit begins with a study of the shape of data displays and the analysis of a normal distribution. Later lessons discuss the...
Illustrative Mathematics
SAT Scores
If you earned a score of 610 on the math portion of the SAT, what would be your percentile ranking? Given the mean and standard deviation of normally distributed data, find the probability of getting a particular score, or that your...
Illustrative Mathematics
Should We Send Out a Certificate?
Fred thinks his test score is high enough to earn him a certificate. Given the mean and standard deviation, use properties of normal distributions to calculate Fred's percentile ranking and see if he is right. Consider having your class...
Curated OER
Discovering Advanced Algebra More Practice Your Skills, Lessons 11.1-11.6
For this six page series of worksheet, learners answer short answer questions about a variety of topics. The six topics covered in this packet are: Experimental Design (4 questions), Probability Distributions (3 multiple choice...
Curated OER
Transforming Univariate Data
Learners analyze plotted data in this statistics activity. They differentiate between skewed and normal data. They also explore and interconnect exponential growth and decay as it relates to the data.
Khan Academy
Khan Academy: Z Scores 1
Find the z-score of a particular measurement given the mean and standard deviation. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Texas Education Agency
Texas Gateway: A Single Population Mean Using the Normal Distribution
This lesson explains how to calculate and interpret the confidence interval for a population mean. It also looks at the effect on the confidence interval of changing the confidence level or sample size. It then explains how to find the...
CK-12 Foundation
Ck 12: Statistics: Applications of Normal Distributions
[Free Registration/Login may be required to access all resource tools.] This Concept introduces students to applications of the Normal Distribution.
Texas Instruments
Texas Instruments: Normal Distribution
This set contains statistics questions regarding the normal curve, its distribution, and its applications. The student, using the correct calculation, transitions between observed x-values, standard z-scores, and normal curve areas.
Other
Fayetteville State University: Z Distributions
The introductory paragraph explains Z-Distributions, their spread, and the ability to find certain values within the distribution. Two animated graphs are then provided as an example of the probability of the normal distribution curve.
Khan Academy
Khan Academy: Normal Distribution: Area Between Two Points
Use a z-table to find the probability that a particular measurement is in a range. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.