# Statistics

#### Covers how to collect, analyse, interpret, present and organise data. Created by Khan Academy.

###### Average Course Length

15 hours

###### Skill Level

Intermediate

##### Pick a lesson

1: Statistics: The Average

2: Statistics: Sample vs. Population Mean

3: Statistics: Variance of a Population

4: Statistics: Sample Variance

5: Statistics: Standard Deviation

6: Statistics: Alternate Variance Formulas

7: Introduction to Random Variables

8: Probability Density Functions

9: Binomial Distribution 1

10: Binomial Distribution 2

11: Binomial Distribution 3

12: Binomial Distribution 4

13: Expected Value: E(X)

14: Expected Value of Binomial Distribution

15: Poisson Process 1

16: Poisson Process 2

17: Law of Large Numbers

18: Normal Distribution Excel Exercise

19: Introduction to the Normal Distribution

20: ck12.org Normal Distribution Problems: Qualitative sense of normal distributions

21: ck12.org Normal Distribution Problems: z-score

22: ck12.org Normal Distribution Problems: Empirical Rule

23: ck12.org Exercise: Standard Normal Distribution and the Empirical Rule

24: ck12.org: More Empirical Rule and Z-score practice

25: Central Limit Theorem

26: Sampling Distribution of the Sample Mean

27: Sampling Distribution of the Sample Mean 2

28: Standard Error of the Mean

29: Sampling Distribution Example Problem

30: Confidence Interval 1

31: Mean and Variance of Bernoulli Distribution Example

32: Bernoulli Distribution Mean and Variance Formulas

33: Margin of Error 1

34: Margin of Error 2

35: Confidence Interval Example

36: Small Sample Size Confidence Intervals

37: Hypothesis Testing and P-values

38: One-Tailed and Two-Tailed Tests

39: Z-statistics vs. T-statistics

40: Type 1 Errors

41: Small Sample Hypothesis Test

42: T-Statistic Confidence Interval

43: Large Sample Proportion Hypothesis Testing

44: Variance of Differences of Random Variables

45: Difference of Sample Means Distribution

46: Confidence Interval of Difference of Means

47: Clarification of Confidence Interval of Difference of Means

48: Hypothesis Test for Difference of Means

49: Comparing Population Proportions 1

50: Comparing Population Proportions 2

51: Hypothesis Test Comparing Population Proportions

52: Squared Error of Regression Line

53: Proof (Part 1) Minimizing Squared Error to Regression Line

54: Proof (Part 3) Minimizing Squared Error to Regression Line

55: Proof (Part 4) Minimizing Squared Error to Regression Line

56: Regression Line Example

57: Proof Part 2 Minimizing Squared Error to Line

58: R-Squared or Coefficient of Determination

59: Second Regression Example

60: Calculating R-Squared

61: Covariance and the Regression Line

62: Chi-Square Distribution Introduction

63: Pearson's Chi Square Test (Goodness of Fit)

64: Contingency Table Chi-Square Test

65: ANOVA 1 - Calculating SST (Total Sum of Squares)

66: ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi

67: ANOVA 3 -Hypothesis Test with F-Statistic

68: Correlation and Causality