Standard #: MA.912.DP.2.3


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Estimate population percentages from data that has been fit to the normal distribution.


Clarifications


Clarification 1: Instruction includes using technology, empirical rules or tables to estimate areas under the normal curve.

Related Courses

Course Number1111 Course Title222
1210300: Probability and Statistics Honors (Specifically in versions: 2014 - 2015, 2015 - 2019, 2019 - 2022, 2022 and beyond (current))


Related Resources

Formative Assessment

Name Description
Area Under the Normal Curve

Students are asked to find the probability that an outcome of a normally distributed variable is between two given values using both a Standard Normal Distribution Table and technology.

Lesson Plans

Name Description
Texting and Standard Deviation

This lesson uses texting to teach statistics. In the lesson, students will calculate the mean, median, and standard deviation. They will create a normal distribution using the mean and standard deviation and estimate population percentages. They will construct and interpret dot plots based on the data they collected. Students will also use similarities and differences in shape, center, and spread to determine who is better at texting, boys, or girls.

Standard Deviation and the Normal Curve in Kahoot!

In this three-day lesson, students learn about standard deviation, the normal curve, and how they are applied. Your students will be engaged and learning when they collect and analyze data using a free Kahoot! quiz.

Picturing the Normal World

This is an introductory lesson on normally distributed data. Students will calculate the standard deviation and use the Empirical Rule.

How do we measure success?

Students will use the normal distribution to estimate population percentages and calculate the values that fall within one, two, and three standard deviations of the mean. Students use statistics and a normal distribution to determine how well a participant performed in a math competition.

If The Shoe Fits – A "Normal" Cinderella Story

Using a normal distribution manipulative and a calculator, students will explore the normal distribution curve to determine the area between each standard deviation from the mean using the empirical rule. Students will use the mean and standard deviation to predict outcomes in real-world situations and finally answer the age old question: What size was Cinderella's glass slipper?

The Cereal Prize Estimation

How many boxes of cereal would you have to purchase to win all six prizes?

This lesson uses class data collected through simulations to allow students to answer this question. Students simulate purchasing cereal boxes and create a t-confidence interval with their data to determine how many boxes they can expect to buy.

Sweet Statistics - A Candy Journey

Students will sort pieces of candy by color and then calculate statistical information such as mean, median, mode, interquartile range, and standard deviation. They will also create an Excel spreadsheet with the candy data to generate pie charts and column charts. Finally, they will compare experimental data to theoretical data and explain the differences between the two. This is intended to be an exercise for an Algebra 1 class. Students will need at least 2 class periods to sort their candy, make the statistical calculations, and create the charts in Excel.

Perspectives Video: Expert

Name Description
Statistical Inferences and Confidence Intervals

Florida State University Counseling Psychologist discusses how he uses confidence intervals to make inferences on college students' experiences on campus based on a sample of students.

Perspectives Video: Professional/Enthusiast

Name Description
Sampling Strategies for Ecology Research in the Intertidal Zone

Will Ryan describes methods for collecting multiple random samples of anemones in coastal marine environments.

Problem-Solving Tasks

Name Description
SAT Scores

This problem solving task challenges students to answer probability questions about SAT scores, using distribution and mean to solve the problem.

Should We Send Out a Certificate?

The purpose of this task is to have students complete normal distribution calculations and to use properties of normal distributions to draw conclusions.

Do You Fit in This Car?

This task requires students to use the normal distribution as a model for a data distribution. Students must use given means and standard deviations to approximate population percentages.

Student Resources

Problem-Solving Tasks

Name Description
SAT Scores:

This problem solving task challenges students to answer probability questions about SAT scores, using distribution and mean to solve the problem.

Should We Send Out a Certificate?:

The purpose of this task is to have students complete normal distribution calculations and to use properties of normal distributions to draw conclusions.

Do You Fit in This Car?:

This task requires students to use the normal distribution as a model for a data distribution. Students must use given means and standard deviations to approximate population percentages.



Parent Resources

Problem-Solving Tasks

Name Description
SAT Scores:

This problem solving task challenges students to answer probability questions about SAT scores, using distribution and mean to solve the problem.

Should We Send Out a Certificate?:

The purpose of this task is to have students complete normal distribution calculations and to use properties of normal distributions to draw conclusions.

Do You Fit in This Car?:

This task requires students to use the normal distribution as a model for a data distribution. Students must use given means and standard deviations to approximate population percentages.



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