This lesson looks at the different measures of center and variability that are used when analyzing the spread of data in a distribution. Includes downloadable study guide with exercises - guide also covers other topics. [17:21]
Practice solving some more challenging problems where you are given the mean and asked to find a missing piece of data from the original data set. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
Gain an understanding of how to find the mean, median and mode by viewing examples and a video lesson. [2:22]
Watch and listen as the assistant general manager of a major league baseball team explains how he uses math in this video from KAET, Arizona PBS. A lesson plan and handouts are included. [7:43]
This video goes over the formulas for the mean and standard deviation of a sampling distribution of sample proportions. [9:56]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
Lesson plan introduces students to stem-and-leaf plots. Many resources are available for student and teachers here.
This set contains questions about simulating sampling distributions. Students see graphs of simulated distributions enabling them to reach conclusions about mean, shape, and standard deviation.
Students apply pre-requisite statistics knowledge and concepts learned in an associated lesson to a real-world state-of-the-art research problem that asks them to quantitatively analyze the effectiveness of different cracked steel repair methods. As if they are civil engineers, students statistically analyze and compare 12 sets of experimental data from seven research centers around the world using measurements of central tendency, five-number summaries, box-and-whisker plots and bar graphs. The data consists of the results from carbon-fiber-reinforced polymer patched and unpatched cracked steel specimens tested under the same stress conditions. Based on their findings, students determine the most effective cracked steel repair method, create a report, and present their results, conclusions and recommended methods to the class as if they were presenting to the mayor and city council. This activity and its associated lesson are suitable for use during the last six weeks of the AP Statistics course; see the topics and timing note for details.
Working as if they are engineers aiming to analyze and then improve data collection devices for precision agriculture, students determine how accurate temperature sensors are by comparing them to each other. Teams record soil temperature data during a class period while making changes to the samples to mimic real-world crop conditions—such as the addition of water and heat and the removal of the heat. Groups analyze their collected data by finding the mean, median, mode, and standard deviation. Then, the class combines all the team data points in order to compare data collected from numerous devices and analyze the accuracy of their recording devices by finding the standard deviation of temperature readings at each minute. By averaging the standard deviations of each minute’s temperature reading, students determine the accuracy of their temperature sensors. Students present their findings and conclusions, including making recommendations for temperature sensor improvements.
This 7-minute video lesson gives formulas for the Bernoulli Distribution Mean and Variance. [Statistics playlist: Lesson 42 of 85]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
Covers frequency distribution tables with grouped data.
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This 4-minute video lesson explains the mean, median, and mode. [Statistics playlist: Lesson 1 of 85]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
This 8-minute video lesson gives an example of the mean and variance of Bernoulli Distribution. [Statistics playlist: Lesson 41 of 85]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
This 11-minute video lesson looks at the the central limit theorem and the sampling distribution of the sample mean. [Statistics playlist: Lesson 36 of 85]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
This 13-minute video lesson provides more discussion of the Central Limit Theorem and the Sampling Distribution of the Sample Mean. [Statistics playlist: Lesson 37 of 85]
Khan Academy learning modules include a Community space where users can ask questions and seek help from community members. Educators should consult with their Technology administrators to determine the use of Khan Academy learning modules in their classroom. Please review materials from external sites before sharing with students.
This Concept demonstrates how to test a claim about a mean.
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Download these free worksheets to sharpen your skills with statistics and probability. Sheets focus on collecting and organizing data, measures of central tendency (mean, median, mode, and range), and probability.
Have you ever wondered what the difference is with mean, median, and mode? Here are some excerises that will help you understand what each is.
This resource is the beginning of a series of pages that demonstrates the diffference between the mean and median of a group of numbers. Uses bar graphs to display the data.
Use this Common Core Math Standards Browser to search specific math concepts and their corresponding standards. This page focuses on Using Probability to Make Decisions. Click on the links to find lessons, activities, videos, and study aids.
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