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Class Notes

# Statistics

Notes
Unit 1
1.1 What is Statistics? 1.1 part b
1.2 Levels of Measurement
1.3 Sampling Techniques part a, part b
1.3 Sampling Techniques part c
1.4 Census and other data collection methods

Unit 2
2.1 Bar Graphs
2.1 Pie Charts and Line Plots
2.2 Frequency Distributions
2.3 Dot Plots and Histograms
2.3 Frequency Polygons and Ogives
2.3 Describing Distributions

Unit 3
3.1 Measures of Central Tendency (The Mean)
3.1 Measures of Central Tendency (Median and Mode)
3.2 Measures of Variation (Range and IQR)
3.2 Measures of Variation (Variance)
3.2 Measures of Variation (Standard Deviation)
3.2 Measures of Variation (Coefficient of Variation)
3.2 Chebyshev's Theorem
3.3 Standard Scores and Percentiles

Unit 4
4.1 Sample Spaces and Probability
4.2 Mutually Exclusive and Addition Rule
4.2 Venn Diagrams
4.3 Multiplication Rules and Conditional Probability
4.3: Using Formulas for Probability
Review Problems
4.4 Counting Rules
Answers to Homework on Counting Rules
4.5 Probability and Counting Rules

Unit 5

Unit 6
6.1 The Normal Distribution
6.1b Normal Distribution Continued
6.2 Applications of Normal Distribution
6.3 Central Limit Theorem
6.4 Normal Approximation for Binomial Distribution
6.4 Normal Approx. Continued

Unit 7
7.1 Confidence Intervals when Population SD is Known
7.1 Finding Sample Size Needed
7.2 Confidence Intervals when Population SD is Unknown
7.3 Confidence Intervals for Population Proportion
8.1 Hypothesis Testing
8.2 Z Test for Averages
8.3 t-Test for Averages
8.4 z-Test for Proportions

Unit 8
10.1 Scatterplots and Correlation
10.1 Significant Correlation
10.2 Regression Model
10.3 Coefficient of Determination and Interval Estimates
11.1 Chi-Square Goodness of Fit Test
11.2 Chi-Square test for Independence

Unit 9
12.1 Test for Normality