Lesson Plans and Worksheets
Browse by Subject
Normal Distribution Teacher Resources
Find Normal Distribution educational ideas and activities
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 communicate their findings in a narrative form, such as a letter.
The first activity in this resource has learners computing the mean and standard deviation of two different data sets and drawing conclusions based on their results. The second activity has them using a dice-rolling simulation to generate data and then compare the results to a normal distribution. The activities alone are rather basic, but the discussion questions encourage student to look beyond the numbers and examine what inferences can be made from the data.
Statisticians investigate normal distribution in this instructional activity as they examine the area under a normal curve and use a model to find what percent of the area lies within 1,2, and 3 standard deviations of the mean. Using the TI-Nspire, they investigate an application of the normal distribution relating to the weight of each orange in a crop.
In this empirical rules activity, young statisticians examine commonly used empirical rules in statistics. They examine data by the standard normal distribution and determine the mean, median, and probability of events. This two-page activity contains examples, notes, and 3 multi-step problems.
Students investigate normal probability distribution. In this Algebra II/Statistics and Probability lesson, students explore the area under the normal curve between various x-values and determine what percent of the area lies within 1, 2, and 3 standard deviations of the mean. Students apply this data to answer question about an orange crop with normally distributed weights.
Young scholars explore the concept of the bell curve. In this bell curve lesson, students discuss the controversy associated with the bell curve. Young scholars use an applet to explore a normal distribution. Students discuss mean, median, mode, and standard deviation in relation to skewness using an applet.
A short activity that focuses on the normal distribution as a model for data distribution. Using given means and standard deviations, your budding statisticians can use statistical tables, calculators, or other statistical software to approximate population percentages. Decide what percentage of the population will fit in this car.
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 score falls within a certain range. Use this short activity as a warm-up or quick assessment.
Using graphs and colorful annotations, Sal makes probability a thrill to behold in this video about binomial distribution. He takes students through additional practice so that they can "get the hang of the binomial distribution" before he begins to teach about normal distribution.
The article for this lesson plan no longer accessible through the links in the lesson plan, but can be found in the National Center for Biotechnology Information website. After reading it, environmental science young scholars answer questions and evaluate data on the provided handout. The lesson plan involves plotting bar graphs or histograms as well as computing logarithms, making it most useful for advanced learners.
In this continuous probability distribution worksheet, students identify discrete and continuous distributions. They calculate the linear combination of the independent normal random variable and determine probabilities using exponential distribution. This 20 page worksheet contains approximately 100 problems. Explanations and examples are provided throughout the document.