Statistics & Probability
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12:18
Difference of Sample Means Distribution
/ 660 viewsDifference of Sample Means Distribution More free lessons at: http://www.khanacademy.org/video?v=TcIDXqmt74A
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10:47 Popular
Variance of Differences of Random Variables
/ 774 viewsVariance of Differences of Random Variables More free lessons at: http://www.khanacademy.org/video?v=rLdoKZ7w0xI
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14:31
Large Sample Proportion Hypothesis Testing
/ 665 viewsLarge Sample Proportion Hypothesis Testing More free lessons at: http://www.khanacademy.org/video?v=1JT9oODsClE
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11:47
T-Statistic Confidence Interval
/ 669 viewsT-Statistic Confidence Interval (for small sample sizes) More free lessons at: http://www.khanacademy.org/video?v=hV4pdjHCKuA
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09:04
Small Sample Hypothesis Test
/ 666 viewsSmall Sample Hypothesis Test More free lessons at: http://www.khanacademy.org/video?v=D2sMsmL0ScQ
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03:24 Popular
Type 1 Errors
/ 740 viewsType 1 Errors More free lessons at: http://www.khanacademy.org/video?v=EowIec7Y8HM
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06:40
Z-statistics vs. T-statistics
/ 621 viewsZ-statistics vs. T-statistics More free lessons at: http://www.khanacademy.org/video?v=5ABpqVSx33I
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06:34
One-Tailed and Two-Tailed Tests
/ 619 viewsOne-Tailed and Two-Tailed Tests More free lessons at: http://www.khanacademy.org/video?v=mvye6X_0upA
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11:27
Hypothesis Testing and P-values
/ 559 viewsHypothesis Testing and P-values More free lessons at: http://www.khanacademy.org/video?v=-FtlH4svqx4
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11:11 Popular
Small Sample Size Confidence Intervals
/ 722 viewsConstructing small sample size confidence intervals using t-distributions More free lessons at: http://www.khanacademy.org/video?v=K4KDLWENXm0
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18:36
Confidence Interval Example
/ 598 viewsConfidence Interval Example More free lessons at: http://www.khanacademy.org/video?v=SeQeYVJZ2gE
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10:05
Margin of Error 2
/ 555 viewsFinding the 95% confidence interval for the proportion of a population voting for a candidate. More free lessons at: http://www.khanacademy.org/video?v=YclQE2XtaLw
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15:03
Margin of Error 1
/ 645 viewsFinding the 95% confidence interval for the proportion of a population voting for a candidate. More free lessons at: http://www.khanacademy.org/video?v=OwPSuHXmiPw
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06:59 Popular
Bernoulli Distribution Mean and Variance Formulas
/ 723 viewsBernoulli Distribution Mean and Variance Formulas More free lessons at: http://www.khanacademy.org/video?v=ry81_iSHt6E
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08:20
Mean and Variance of Bernoulli Distribution Example
/ 672 viewsMean and Variance of Bernoulli Distribution Example More free lessons at: http://www.khanacademy.org/video?v=O8vB1eInP_8
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14:28
Sampling Distribution Example Problem
/ 516 viewsFiguring out the probability of running out of water on a camping trip More free lessons at: http://www.khanacademy.org/video?v=0ZstEh_8bYc
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15:15
Standard Error of the Mean
/ 498 viewsStandard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!) More free lessons at: http://www.khanacademy.org/video?v=J1twbrHel3o
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13:20
Sampling Distribution of the Sample Mean 2
/ 637 viewsMore on the Central Limit Theorem and the Sampling Distribution of the Sample Mean More free lessons at: http://www.khanacademy.org/video?v=NYd6wzYkQIM
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10:52
Sampling Distribution of the Sample Mean
/ 615 viewsThe central limit theorem and the sampling distribution of the sample mean More free lessons at: http://www.khanacademy.org/video?v=FXZ2O1Lv-KE
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09:49 Popular
Central Limit Theorem
/ 788 viewsIntroduction to the central limit theorem and the sampling distribution of the mean More free lessons at: http://www.khanacademy.org/video?v=JNm3M9cqWyc
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05:57
ck12.org: More Empirical Rule and Z-score practice
/ 543 viewsMore Empirical Rule and Z-score practice More free lessons at: http://www.khanacademy.org/video?v=itQEwESWDKg
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08:16 Popular
ck12.org Exercise: Standard Normal Distribution and the Empirical Rule
/ 892 viewsUsing the Empirical Rule with a standard normal distribution More free lessons at: http://www.khanacademy.org/video?v=2fzYE-Emar0
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10:25 Popular
ck12.org Normal Distribution Problems: Empirical Rule
/ 928 viewsUsing the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions More free lessons at: http://www.khanacademy.org/video?v=OhRr26AfFBU
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07:48
ck12.org Normal Distribution Problems: z-score
/ 700 viewsZ-score practice More free lessons at: http://www.khanacademy.org/video?v=Wp2nVIzBsE8
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10:53
ck12.org Normal Distribution Problems: Qualitative sense of normal distributions
/ 672 viewsDiscussion of how "normal" a distribution might be More free lessons at: http://www.khanacademy.org/video?v=79duxPXpyKQ
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26:24
Introduction to the Normal Distribution
/ 643 viewsExploring the normal distribution More free lessons at: http://www.khanacademy.org/video?v=hgtMWR3TFnY
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26:04 Popular
Normal Distribution Excel Exercise
/ 1,631 views(Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials. More free lessons at: http://www.khanacademy.org/video?v=yTGEMoaWDCQ
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09:00
Law of Large Numbers
/ 518 viewsIntroduction to the law of large numbers More free lessons at: http://www.khanacademy.org/video?v=VpuN8vCQ--M
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12:42
Poisson Process 2
/ 483 viewsMore of the derivation of the Poisson Distribution. More free lessons at: http://www.khanacademy.org/video?v=Jkr4FSrNEVY
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11:01
Poisson Process 1
/ 582 viewsIntroduction to Poisson Processes and the Poisson Distribution. More free lessons at: http://www.khanacademy.org/video?v=3z-M6sbGIZ0
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16:56
Expected Value of Binomial Distribution
/ 611 viewsExpected value of a binomial distributed random variable More free lessons at: http://www.khanacademy.org/video?v=SqcxYnNlI3Y
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10:46
Binomial Distribution 4
/ 548 viewsUsing Excel to visualize the basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=H0ZgOGWUcJw
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13:27
Binomial Distribution 3
/ 621 viewsBasketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=vKNpQ_KTXvE
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11:05
Binomial Distribution 2
/ 548 viewsMore on the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=FI8xtVaI068
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12:16
Binomial Distribution 1
/ 566 viewsIntroduction to the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=O12yTz_8EOw
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10:02
Probability Density Functions
/ 612 viewsProbability density functions for continuous random variables. More free lessons at: http://www.khanacademy.org/video?v=Fvi9A_tEmXQ
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12:04
Introduction to Random Variables
/ 506 viewsIntroduction to random variables and probability distribution functions. More free lessons at: http://www.khanacademy.org/video?v=IYdiKeQ9xEI
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12:17
Statistics: Alternate Variance Formulas
/ 510 viewsPlaying with the formula for variance of a population. More free lessons at: http://www.khanacademy.org/video?v=sRVGcYGjUk8
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13:07
Statistics: Standard Deviation
/ 476 viewsReview of what we've learned. Introduction to the standard deviation. More free lessons at: http://www.khanacademy.org/video?v=HvDqbzu0i0E
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11:18
Statistics: Sample Variance
/ 490 viewsUsing the variance of a sample to estimate the variance of a population More free lessons at: http://www.khanacademy.org/video?v=Qf3RMGXR-h8
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12:23
Statistics: Variance of a Population
/ 473 viewsVariance of a population. More free lessons at: http://www.khanacademy.org/video?v=6JFzI1DDyyk
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06:42
Statistics: Sample vs. Population Mean
/ 494 viewsThe difference between the mean of a sample and the mean of a population.
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12:35
Statistics: The Average
/ 592 viewsIntroduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode More free lessons at: http://www.khanacademy.org/video?v=uhxtUt_-GyM
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14:57
Hardy-Weinberg Principle
/ 521 viewsUnderstanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.
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06:08
Histograms
/ 656 viewsHistograms More free lessons at: http://www.khanacademy.org/video?v=4eLJGG2Ad30
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12:34
Range, Variance and Standard Deviation as Measures of Dispersion
/ 670 viewsRange, Variance and Standard Deviation as Measures of Dispersion More free lessons at: http://www.khanacademy.org/video?v=E4HAYd0QnRc
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09:01 Popular
Average or Central Tendency: Arithmetic Mean, Median, and Mode
/ 726 viewsAverage or Central Tendency: Arithmetic Mean, Median, and Mode
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07:48
Fitting a Line to Data
/ 557 viewsFitting a Line to Data More free lessons at: http://www.khanacademy.org/video?v=OhUkMQtBGmE
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10:51
Probability of Dependent Events 2
/ 489 viewsU12_L2_T4_we3 Probability of Dependent Events 2 More free lessons at: http://www.khanacademy.org/video?v=ccrYD6iX_SY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:23
Probability of Dependent Events
/ 568 viewsU12_L2_T4_we2 Probability of Dependent Events More free lessons at: http://www.khanacademy.org/video?v=l9ft9jpriNA Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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05:10
Permutations and Combinations 4
/ 608 viewsU12_L2_T4_we1 Permutations and Combinations 4 More free lessons at: http://www.khanacademy.org/video?v=DIjlllgq3dc Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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07:43
Permutations and Combinations 3
/ 501 viewsU12_L2_T3_we3 Permutations and Combinations 3 More free lessons at: http://www.khanacademy.org/video?v=SbpoyXTpC84 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:19
Permutations and Combinations 2
/ 488 viewsU12_L2_T3_we2 Permutations and Combinations 2 More free lessons at: http://www.khanacademy.org/video?v=v9NLtiVt3XY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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03:45
Permutations and Combinations 1
/ 573 viewsU12_L2_T3_we1 Permutations and Combinations 1 More free lessons at: http://www.khanacademy.org/video?v=oQpKtm5TtxU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:28
Independent Events 3
/ 508 viewsU12_L2_T2_we3 Independent Events 3 More free lessons at: http://www.khanacademy.org/video?v=2MYA8Ba2PvM Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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04:44
Independent Events 2
/ 499 viewsU12_L2_T2_we2 Independent Events 2 More free lessons at: http://www.khanacademy.org/video?v=VWAfEbgf1Po Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:39
U12_L2_T2_we1 Independent Events 1
/ 434 viewsU12_L2_T2_we1 Independent Events 1 More free lessons at: http://www.khanacademy.org/video?v=Za7G_eWKiF4 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:09
Events and Outcomes 3
/ 483 viewsU12_L2_T1_we3 Events and Outcomes 3 More free lessons at: http://www.khanacademy.org/video?v=3_otNr9kRuY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:11
Events and Outcomes 1
/ 491 viewsU12_L2_T1_we1 Events and Outcomes 1 More free lessons at: http://www.khanacademy.org/video?v=cdRLBOnLTDk Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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10:30
Probability (part 1)
/ 517 viewsWhat probability is. More free lessons at: http://www.khanacademy.org/video?v=3ER8OkqBdpE
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02:14
Coin Flipping Example
/ 530 viewsu08_l4_t1_we3 Coin Flipping Example More free lessons at: http://www.khanacademy.org/video?v=3UlE8gyKbkU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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06:17
Probability of More Complex Outcome
/ 627 viewsu08_l4_t1_we2 Probability of More Complex Outcome
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02:56
Simple Probability
/ 509 viewsu08_l4_t1_we1 Simple Probability More free lessons at: http://www.khanacademy.org/video?v=yUaI0JriZtY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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04:53
Misleading Line Graphs
/ 523 viewsu08_l3_t1_we2 Misleading Line Graphs More free lessons at: http://www.khanacademy.org/video?v=gs-OPF3KEGU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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10:05
Box-and-Whisker Plots
/ 621 viewsu08_l3_t1_we1 Box-and-Whisker Plots More free lessons at: http://www.khanacademy.org/video?v=-M0Fi0ijnJs Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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03:18
Reading Box-and-Whisker Plots
/ 559 viewsu08_l2_t1_we4 Reading Box-and-Whisker Plots More free lessons at: http://www.khanacademy.org/video?v=b2C9I8HuCe4 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:03
Range and Mid-range
/ 474 viewsu08_l2_t1_we2 Range and Mid-range More free lessons at: http://www.khanacademy.org/video?v=7DtWXEPB_AI Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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03:55
Mean Median and Mode
/ 483 viewsu08_l2_t1_we1 Mean Median and Mode More free lessons at: http://www.khanacademy.org/video?v=k3aKKasOmIw Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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05:58
u08_l1_t2_we3 Stem-and-leaf Plots
/ 438 viewsu08_l1_t2_we3 Stem-and-leaf Plots More free lessons at: http://www.khanacademy.org/video?v=LEFE1km5ROY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:21
u08_l1_t2_we2 Reading Line Graphs
/ 578 viewsu08_l1_t2_we2 Reading Line Graphs More free lessons at: http://www.khanacademy.org/video?v=36v2EXZRzUE Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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03:09
Reading Pie Graphs (Circle Graphs)
/ 631 viewsu08_l1_t2_we1 Reading Pie Graphs (Circle Graphs) More free lessons at: http://www.khanacademy.org/video?v=4JqH55rLGKY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:59 Popular
Reading Bar Graphs
/ 889 viewsu08_l1_t1_we2 Reading Bar Graphs More free lessons at: http://www.khanacademy.org/video?v=kiQ6MUQZHSs Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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02:21 Popular
Reading Pictographs
/ 867 viewsu08_l1_t1_we1 Reading Pictographs More free lessons at: http://www.khanacademy.org/video?v=qrVvpYt3Vl0 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education
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10:02
Probability with Playing Cards and Venn Diagrams
/ 597 viewsProbability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7 More free lessons at: http://www.khanacademy.org/video?v=obZzOq_wSCg
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08:05
Vi and Sal Talk About the Mysteries of Benford's Law
/ 466 viewsVi Hart visits Khan Academy and talks about Benford's Law with Sal More free lessons at: http://www.khanacademy.org/video?v=6KmeGpjeLZ0
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10:43
Addition Rule for Probability
/ 666 viewsVenn diagrams and the addition rule for probability More free lessons at: http://www.khanacademy.org/video?v=QE2uR6Z-NcU