{"results":"
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Unit Plan
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\n\"Finite\n\n
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\nStefan Warner and Steven R. Costenoble\n
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\nFinite Mathematics & Applied Calculus: Sampling Distributions and the Central Limit Theorem\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nStudents learn about sampling distributions and the Central Limit Theorem. Topics explored are sample mean, population mean, and using the Central Limit Theorem. The tutorial investigates the statistics concepts through class notes and...\n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"American\n\n
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\nOther\n
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\nAmerican Statistical Association: Who Sends the Most Text Messages? [Pdf]\n

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\n\nFor Teachers\n\n9th - 10th\n
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\nIn this detailed lesson looking at text messaging behavior, students investigate the sampling distribution for the sample mean to learn what factors affect its shape. They will also be introduced to the Central Limit Theorem.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Statistics: Sampling Distribution of the Sample Mean\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo reviews the central limit theorem and uses a simulation to illustrate sampling distributions and how they approach a normal distribution with larger sample sizes even if the original distribution was not normal. Also discusses the...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Statistics: Introduction to the Normal Distribution\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo discusses the importance of the normal distribution and gives its formula with examples of how it is used. Connects to the central limit theorem. Manipulates the normal distribution formula to show different forms of it. Uses Excel...\n
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Handout
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\n\"Berrie's\n\n
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\nOther\n
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\nBerrie's Statistics Page: Central Limit Theorem\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nBrief definition and example of the Central Limit Theorem.\n
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\n\nGet Free Access\n\nSee Review\n
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Graphic
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\n\"Image\n\n
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\nCurated OER\n
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\nImage for Central Limit Theorem\n

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\n\nFor Students\n\n9th - 10th\n
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\nQuick definition of the central limit theorem. A piece of clip art is shown to aid in understanding.\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"Fayetteville\n\n
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\nOther\n
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\nFayetteville State Univ.: Sampling Distributions\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nA detailed explanation of statistical sampling distributions is provided here. Several graphs are attached to aid in understanding. The sampling distribution of the mean and the Central Limit Theorem are also discussed at this site.\n
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\n\nGet Free Access\n\nSee Review\n
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Activity
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\n\"Texas\n\n
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\nTexas Instruments\n
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\nTexas Instruments: Probability, Simulations, and Probability Distributions\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nUse simulation on the TI-83 graphing calculator to teach students about the distribution of sample proportions, distribution of sample means, the Central Limit Theorem, normal probability plots, and the Law of Large Numbers. Pick and...\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"Finite\n\n
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\nStefan Warner and Steven R. Costenoble\n
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\nFinite Mathematics & Applied Calculus: Confidence Intervals\n

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\n\nFor Students\n\n9th - 10th\n
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\nStudents learn about confidence intervals. Topics explored are the Central Limit Theorem, large sample confidence intervals, and confidence intervals for small samples. The tutorial investigates the statistics concept through class notes...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Sampling Distribution: Sampling Distribution of the Sample Mean\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo reviews the central limit theorem and uses a simulation to illustrate sampling distributions and how they approach a normal distribution with larger sample sizes even if the original distribution was not normal.\n
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\n\nGet Free Access\n\nSee Review\n
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App
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\n\"Cal\n\n
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\nCalifornia State University\n
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\nCal State San Bernardino: Central Limit Theorem Applet\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nIn this applet, rolling of dice is studied. The number that lands face \"up\" on the die is graphed as the die is rolled repeatedly. The user begins to see, with increased accuracy, the standard normal curve appearing as the graph.\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Fayetteville\n\n
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\nOther\n
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\nFayetteville State University: Standard Error\n

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\n\nFor Students\n\n9th - 10th\n
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\nStandard error is discussed in terms of the Central Limit Theorem. The site mentions \"Rule 3 of the CLT\" as a means to eliminate the error. Here that process is validated in reason and supported with an example.\n
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Instructional Video
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Shape of a Sampling Distribution: Lesson 2\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis lesson will explain the Central Limit Theorem. It is 2 of 3 in the series titled \"Shape of a Sampling Distribution.\"\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Sophia:\n\n
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\nSophia Learning\n
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\nSophia: Shape of a Sampling Distribution: Lesson 3\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis lesson will explain the Central Limit Theorem. It is 3 of 3 in the series titled \"Shape of a Sampling Distribution.\"\n
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\n\nGet Free Access\n\nSee Review\n
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Interactive
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\n\"Brown\n\n
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\nBrown University\n
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\nBrown University: Seeing Theory\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis resource provides interactive visualizations of probability concepts. Covers basic probability, compound probability, probability distributions, frequentist inference, Bayesian inference, and regression analysis. The authors are...\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Statistics: Sampling Distribution of the Sample Mean 2\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo discusses the effect of sample size on the sampling distribution. Shows using a simulation how as sample size increases the sampling distribution becomes more normal and the standard deviation decreases. Also discusses the effect...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Sampling Distribution of the Sample Mean 2\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nMore on the Central Limit Theorem and the Sampling Distribution of the Sample Mean.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Sampling Distribution of the Sample Mean\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThe central limit theorem and the sampling distribution of the sample mean.\n
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\n\nGet Free Access\n\nSee Review\n
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Article
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\n\"Journal\n\n
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\nOther\n
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\nJournal of Statistics Education: A Sample / Population Size Activity\n

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\n\nFor Teachers\n\n9th - 10th\n\nStandards\n
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\nThe author of the article admits having had a difficult time in the past when getting students to understand that samples need to contain a substantial portion of the population. Here, an activity is detailed to bring this important fact...\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Normal Distribution: Introduction to the Normal Distribution\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo discusses the importance of the normal distribution and gives its formula with examples of how it is used.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Sampling Distribution: Sampling Distribution of the Sample Mean 2\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nVideo discusses the effect of sample size on the sampling distribution.\n
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\n\nGet Free Access\n\nSee Review\n
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Unit Plan
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Markov Chains\n

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\n\nFor Students\n\n9th - 10th\n
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\nThe concept of modeling sequences of random events using states and transitions between states became to known as Markov Chains. Introduction to Markov chains. Created by Brit Cruise.\n
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\n\nGet Free Access\n\nSee Review\n
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eBook
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\n\"Mathigon:\n\n
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\nMathigon\n
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\nMathigon: Probability and Discrete Math: Predicting the Future\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nThis lesson focuses on probability theory for predicting the outcome of flipping a coin, and then flipping it multiple times.\n
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\n\nGet Free Access\n\nSee Review\n
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Instructional Video
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\n\"Khan\n\n
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\nKhan Academy\n
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\nKhan Academy: Origin of Markov Chains\n

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\n\nFor Students\n\n9th - 10th\n
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\nThis video serves as an introduction to Markov Chains. [7:15]\n
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\n\nGet Free Access\n\nSee Review\n
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