Normal Distribution Teacher Resources
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Students analyze their data using different central tendencies. In this algebra instructional activity, students students analyze their graphs and identify it as a normal distribution, normal curve and predict the outcome.
Students investigate normal distribution. In this statistical analysis lesson students investigate the variety of circumstances in which the normal distribution can be used. Students apply the normal distribution to solve problems.
Fourth graders are given data (class test scores) to determine central tendencies, and find information needed to construct a normal distribution curve. They become proficient in calculating mode, median and average.
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.
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.
Statisticians investigate normal distribution in this lesson 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 worksheet, 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 worksheet contains examples, notes, and 3 multi-step problems.
Young scholars explore the concept of normal distribution. In this normal distribution lesson, students find the normal distribution of taxes in the 50 US states. Young scholars make histograms, frequency tables, and find the mean and median of tax data.
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.
Students are introduced to the normal distribution and examine the bell curve controversy.
Learners are introduced to the concepts of the normal curve, skewness and the standard deviation. They discuss how the normal distribution has been used and misused to support conclusions.
Students complete problems on normal distribution equations. In this algebra lesson plan, students complete 11 problems out of their text book.
In this whole number addition worksheet, 5th graders supply the missing numbers necessary to solve a set of 15 problems. One example is completed for students; answers may be viewed online.
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.
The article for this instructional activity 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 students answer questions and evaluate data on the provided handout. The instructional activity involves plotting bar graphs or histograms as well as computing logarithms, making it most useful for advanced learners.
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.
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.
This thirteen page data analysis worksheet contains a number of interesting problems regarding statistics. The activities cover the concepts of average measurements, standard deviation, box and whisker plots, quartiles, frequency distributions, and lines of best fit.