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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.
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...
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...
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...
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.
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...
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 plan. 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.
CK-12 Foundation
Ck 12: Algebra Ii: 6.3 Z Scores
See how Z-scores are related to the Empirical Rule from the standpoint of being a method of evaluating how extreme a particular value is in a given set.
Other
Magoosh: Statistics Fundamentals
An online course on the fundamentals of statistics including video lessons in Mean, Median, and Mode; Weighted Averages; Quartiles and Boxplots; Range and Standard Deviation; Normal Distribution; Z-scores; Intro to Inferential...
Sophia Learning
Sophia: Practical Applications of the Bell Shaped Curve
Explore the bell-shaped curve and how to calculate a z score. Additional links provided to further knowledge on outliers.
CK-12 Foundation
Ck 12: Statistics: Central Limit Theorem
[Free Registration/Login may be required to access all resource tools.] Introduces students to the Central Limit Theorem. Students will learn about the Central Limit Theorem and calculate a sampling distribution using the mean and...