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EngageNY
Interpreting the Standard Deviation
Does standard deviation work for non-symmetrical distributions, and what does it mean? Through the use of examples, high schoolers determine the standard deviation of a variety of distributions and interpret its...
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...
EngageNY
Distributions—Center, Shape, and Spread
Data starts to tell a story when it takes shape. Learners describe skewed and symmetric data. They then use the graphs to estimate mean and 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
Using a Curve to Model a Data Distribution
Show scholars the importance of recognizing a normal curve within a set of data. Learners analyze normal curves and calculate mean and standard deviation.
Curated OER
Describing Data
Your learners will practice many ways of describing data using coordinate algebra in this unit written to address many Common Core State Standards. Simple examples of different ways to organize data are shared and then practice problems...
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.
Howard Hughes Medical Institute
Sampling and Normal Distribution
Young scientists learn about sampling and normal distributions through data analysis. A worksheet guides them to better understanding and synthesis of knowledge.
American Statistical Association
Tell it Like it is!
Scholars apply prior knowledge of statistics to write a conclusion. They summarize using correct academic language and tell the story of the data.
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...
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.
NOAA
Investigating Sea Level Using Real Data
The news reports on rising sea level, but how do scientists measure this rise? Scholars use NOAA data including maps, apps, and images to work through five levels of activities related to sea level. Each level in the series adds a new...
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.
Georgia Department of Education
Math Class
Young analysts use real (provided) data from a class's test scores to practice using statistical tools. Not only do learners calculate measures of center and spread (including mean, median, deviation, and IQ range), but...
Illustrative Mathematics
Accuracy of Carbon 14 Dating II
The scientific issue of carbon-14 dating and exponential decay gets a statistics-based treatment in this problem. The class starts with a basic investigation of carbon content, but then branches out to questions of accuracy and...
Laying the Foundation
Box-and-Whisker Plots
Statistics is made approachable, and dare we say fun, in this activity on using box-and-whisker plots to analyze and compare data sets. Specific emphasis is placed on interpretations and explanations while graphing, and in using the...
EngageNY
Margin of Error When Estimating a Population Mean (part 2)
Don't leave your classes vulnerable in their calculations! Help them understand the importance of calculating a margin of error to represent the variability in their sample mean.
EngageNY
Margin of Error When Estimating a Population Proportion (part 2)
Error does not mean something went wrong! Learners complete a problem from beginning to end using concepts developed throughout the last five lessons. They begin with a set of data, determine a population proportion, analyze their result...
EngageNY
Sampling Variability in the Sample Proportion (part 1)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
EngageNY
Sampling Variability in the Sample Proportion (part 2)
Increase your sample and increase your accuracy! Scholars complete an activity that compares sample size to variability in results. Learners realize that the greater the sample size, the smaller the range in the distribution of sample...
EngageNY
Sampling Variability in the Sample Mean (part 1)
How accurate is data collected from a sample? Learners answer this question using a simulation to model data collected from a sample population. They analyze the data to understand the variability in the results.
EngageNY
Sampling Variability in the Sample Mean (part 2)
Reduce variability for more accurate statistics. Through simulation, learners examine sample data and calculate a sample mean. They understand that increasing the number of samples creates results that are more representative of the...
EngageNY
Margin of Error When Estimating a Population Mean (part 1)
We know that sample data varies — it's time to quantify that variability! After calculating a sample mean, pupils calculate the margin of error. They repeat the process with a greater number of sample means and compare the results.
West Contra Costa Unified School District
Comparing Data Displays
There is so much more to data than just numbers, and this resource has learners use three methods of comparing data in a multi-faceted lesson. The 21-page packet includes a warm-up, examples, an activity, and assessment for a...
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