Virginia Department of Education
z-Scores
Just how far away from the mean is the data point? Pupils calculate the standard deviation for a set of data and find out how many standard deviations a point is away from the mean. The teacher leads a discussion on how to calculate...
Curated OER
Z-Scores related to Psychology
In this z-score worksheet, 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.
Curated OER
Confidence Intervals: Population Mean; Population standard Deviation Known
In this confidence interval worksheet, students examine a given confidence level and sample data to determine the margin of error, identify a confidence interval, list the mean and give the standard deviation. Students complete seven...
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 techniques....
Virginia Department of Education
Calculating Measures of Dispersion
Double the fun — calculate two measures of deviation. The lesson plan provides information to lead the class through the process of calculating the mean absolute deviation and the standard deviation of a data set. After learning how to...
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...
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.
Radford University
What is My Standing Height Wise?
Given a scenario in which a class member wants to prove his height is not an outlier, pairs devise a plan and gather evidence to help support his claim. The small groups implement their plans and create graphical displays of their data...
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...
College Board
2011 AP® Statistics Free-Response Questions
Familiarize yourself with the AP® exam by looking at past tests. A PDF file provides the 2011 AP® Statistics free-response questions. The questions include topics such as mean, standard deviation, conditional probability, sampling...
Curated OER
Z-Scores
Students 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...
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.
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...
Virginia Department of Education
Analyzing and Interpreting Statistics
Use measures of variance to compare and analyze data sets. Pupils match histograms of data sets to their respective statistical measures. They then use calculated statistics to further analyze groups of data and use the results to make...
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
Normal Curve Areas
In this normal curve areas worksheet, learners 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
Statistics: Final Exam Review
For this statistics and probability worksheet, students are provided with a review of the final exam in statistics. The three page worksheet contains a combination of six multiple choice and free response questions. Answers are not...
Virginia Department of Education
Exploring Statistics
Collect and analyze data to find out something interesting about classmates. Groups devise a statistical question and collect data from their group members. Individuals then create a display of their data and calculate descriptive...
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...
Curated OER
Transforming Univariate Data
Learners analyze plotted data in this statistics lesson. They differentiate between skewed and normal data. They also explore and interconnect exponential growth and decay as it relates to the data.