Probability and Statistics Lecture 9

Lesson Objectives - the students should be able to:

• Define Normal Distributions and Normal Distributions
• Learn the properties of Normal Distributions
• Understand The Standard Normal Table
• Find Areas Under the Standard Normal Curve
• Find probabilities in Normal Distributions
• Find values in Normal Distributions
• Find z-Scores
• Find a z-Score Given a Percentile
• Transform a z-Score to an x-Score
• Find a Specific Data Value
• Learn Sampling Distributions
• Learn The Central Limit Theorem

LESSON OUTLINE:

• Properties of Normal Distributions
• Means and Standard Deviations
• The Standard Normal Distribution
• The Standard Normal Table
• Guidelines for Finding Areas
• Probability and Normal Distributions
• Finding z-Scores
• Finding a z-Score Given a Percentile
• Transforming a z-Score to an x-Score
• Finding a Specific Data Value
• Sampling Distributions
• Properties of Sampling Distributions
• Sampling Distribution of Sample Means
• The Central Limit Theorem
• The Mean and Standard Error
• Probability and Normal Distributions
• Probabilities of x and x
• Seatwork/Exercies
• Homework

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Probability and Statistics Lecture 8

Lesson Objectives - the students should be able to:

• Define Probability
• Learn different terms used in Probability
• Differentiate types of Probability
• Could predict an outcome using Subjective Probability
• Could predict an outcome using Empirical Probability
• Learn the additional rule
• Learn the conditional probability and the multiplication rule

LESSON OUTLINE:

• Definition of terms
• Subjective Probability
• Classical Probability / Theoretical Probability
• Empirical Probability / Statistical Probability
• Law of Large Number
• Complementary Events
• The Addition Rule
• Conditional Probability and the Multiplication Rule
• The AND Rule of Probability
• NOT Rule
• Combining the Rules
• Summary
• Seatwork/Exercies
• Homework

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Probability and Statistics Lecture 7

Lesson Objectives - the students should be able to:

• Learn the Fundamental Principle of Counting
• Learn to compute the arrangement of an object using Permutation
• Learn to compute the arrangement of an object using Combination
• Differentiate Permutation and Combination
• Learn to compute Factorial

LESSON OUTLINE:

• Principle of Counting
• Permutation
• Combination
• Factorial
• Seatwork/Exercies
• Homework

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Probability and Statistics Lecture 6

Lesson Objectives - the students should be able to:

• Define Correlation
• Differentiate types of Correlation
• Calculate Correlation Coefficient
• Define Residuals
• Define Regression line
• Find the equation of the Regression line
• Could predict the outcome using the equation of Regression line

LESSON OUTLINE:

• Correlation
• Types of Correlation
• Correlation Coefficient
• Measures of Correlation
• Calculating Correlation Coefficient
• Pearson product-moment correlation coefficient
• Spearman Rank-Order Correlation Coefficient (Spearman Rho)
• Goodman’s and Kruskal’s Gamma (G)
• Correlation between Nominal Data
• Linear Regression
• Residuals
• Regression Line
• EXERCISES
• HOMEWORK

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Probability and Statistics Lecture 5

Lesson Objectives - the students should be able to:

• Learn the Measure of Position
• Calculate Quartiles
• Calculate Inter-quartile Range
• Understand Box and Whisker Plot
• Find Percentile and Decile
• Calculate Standard Scores
• Relative Z-Scores

LESSON OUTLINE:

• Quartiles
• Inter-quartile Range
• Box and Whisker
• Percentile
• Decile
• Standard Scores
• Relative Z-Scores
• EXERCISES
• HOMEWORK

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Probability and Statistics Lecture 4

Lesson Objectives - the students should be able to:

• Learn the Measure of Variation
• Calculate the Range of Data set
• Calculate Deviation, Average Deviation
• Calculate Variance
• Calculate Standard Deviation
• Interpreting Standard Deviation

LESSON OUTLINE:

• RANGE
• SEMI-INTER QUARTILE RANGE
• DEVIATION
• AVERAGE DEVIATION VARIANCE
• COEFFICIENT OF VARIATION
• STANDARD DEVIATION
• EMPIRICAL RULE
• Chebychev’s Theorem
• EXERCISES
• HOMEWORK

Probability and Statistics Lecture 3

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Probability and Statistics Lecture 3

Lesson Objectives - the students should be able to:

• Learn the Measures of Central Tendency
• Calculate Mean of Grouped and Ungrouped Data
• Calculate Median of Grouped and Ungrouped Data
• Calculate Mode of Grouped and Ungrouped Data
• Differentiate Mean, Median and Mode
• Calculate Weighted Mean
• Calculate Mean of Frequency Distribution
• Learn different Shapes of Distributions

LESSON OUTLINE:

• Mean of Grouped and Ungrouped Data
• Median of Grouped and Ungrouped Data
• Mode of Grouped and Ungrouped Data
• Comparison of Mean, Median and Mode
• Weighted Mean
• Mean of Frequency Distributions
• Shapes of Distributions
• EXERCISES
• HOMEWORK

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Probability and Statistics Lecture 2

Lesson Objectives - the students should be able to:

• Enumerate and define Data Collection Methods
• Enumerate and define Sampling Technique
• Could identify Sampling Technique
• Learn the Tabular and Graphical representation of Data
• Frequency Distribution
• Constructing Frequency
• Midpoint
• Relative Frequency
• Cumulative Frequency
• Frequency Histogram
• Frequency Polygon
• Could Identify Different Type of Graph
• Could create Frequency Distribution and the Graph

LESSON OUTLINE:

• DATA COLLECTION
• Survey Method
• Observation Method
• Experimental Method
• Use of existing studies
• Registration Method
• Simulation Method
• SAMPLING TECHNIQUE
• Stratified Sample
• Cluster Sample
• Systematic Sample
• Convenience Sample
• TABULAR REPRESENTATION
• Frequency Distribution
• Constructing Frequency
• Midpoint
• Relative Frequency
• Cumulative Frequency
• GRAPH
• EXERCISES
• HOMEWORK

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Probability and Statistics Lecture 1

Lesson Objectives - the students should be able to:

• Could define and understand Statistics
• Know the role and importance of statistics in the society
• Could differentiate Descriptive and Inferential statistics
• Learn and define the basic terms use in statistics
• Could differentiate the levels of measurements and could give an example each.

LESSON OUTLINE:

• Introduction to Statistics
• General uses of Statistics
• Fields of Statistics
• Basic Terms
• Experiment
• Population
• Sample
• Variable
• Parameter
• Statistics
• Data
• Scale of Measurements

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