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One-Variable Statistics
Data Classification - Categorical or Quantitative
Classification of Data – Categorical or Quantitative
Data classification - Discrete or Continuous
Classification of Quantitative Data – Discrete or Continuous
Requirement of Census or Sample
Types of data
Ungrouped Discrete Data
Mean of Ungrouped discrete data
Ungrouped Discrete Data – Mean
Mean Involving variables
Calculating mean involving variables
Change in values of mean
Changes in Values and their effect on the Mean
Finding the unknown values of mean
Finding Unknown Values
Miscellaneous sums on mean
Miscellaneous Sums
Median of ungrouped discrete data
Ungrouped Discrete Data – Median
Finding unknown values in median
Finding Unknown Values
Mode of ungrouped discrete data
Ungrouped Discrete Data – Mode
Ungrouped Discrete Data (Mean, Median, Mode)
Ungrouped discrete data - IQR & Range
Ungrouped Discrete Data – Quartiles, IQRs and Range
Ungrouped discrete data - Mean, median, mode, IQR & RANGE - using GDC
Ungrouped Discrete Data (Mean, Median, Mode, IQR, range)
Comparing Numerical Data
Stem & Leaf Diagrams
Stem and Leaf Diagrams
Back - to - back Stem & Leaf Diagram
Back – to – Back Stem and Leaf Diagrams
Grouped Discrete Data
Grouped discrete data - mean, median, mode, IQR, & Range
Grouped Discrete Data – Mean
Grouped Discrete Data – Median and Mode
Grouped discrete data - Finding unknown mean
Finding Unknown Values
Sums involving variables (mean)
Sums involving Variables (Mean)
Grouped discrete data - mean, median, mode, IQr, & Range - with GDC
Grouped Discrete Data (Mean, Median, Mode, IQR, range)
Miscellaneous sums (median & mode)
Miscellaneous Sums (median and mode)
Bar Graph
Bar Graph
Comparing Numerical Data
Multiple bar graphs
Multiple Bar Graphs
Composite bar graphs
Composite Bar Graphs
Box & Whisker Plots
Parallel Box and Whisker Plots
Continuous Data
Continuous Data - Mean and Modal Class
Continuous Data (Mean, Median and Mode) (non gdc)
Mean of Continuous data using gdc
Continuous Data (Mean, Median and Mode) (With GDC)
Drawing a cumulative frequency curve
Choosing Points for Cumulative Frequency Curve
Reading cumulative frequency curves
Reading Cumulative Frequency Curves
Histograms with equal distribution
Histograms with Equal Distribution
Drawing a Histogram
Variance and Standard Deviation
Variance and Standard Deviation for Discrete Ungrouped Data
Variance and Standard Deviation for Discrete Grouped Data
Variance and Standard Deviation for Continuous Data
Two Variable Analysis
Determining the independent and dependent variables
Describing correlations from scatter plots
Determining the Pearson’s product moment correlation and strength
Determining the equation of linear regression
Drawing the line of best fit
Interpreting values
Calculating values from equation of linear regression
Interpolation and Extrapolation
Exam Style Questions
Probability
Basic Terminology
Basic Terminology
Sample Spaces
Identify the correct sample space
Independent Events
Concept of independent events
Independent events involving dice
Theoretical Probability – Involving Dice
Independent events involving Coins
Theoretical Probability – Involving Coins
Probability Involving a Pack of Cards
Theoretical Probability – Involving Pack of Cards
Independent events involving spinners or tickets
Theoretical Probability – Tickets / Spinner
Independent events involving Balls in a bag
Theoretical Probability – Balls in a bag
Probability using a one-way table
Probability using a One – Way Table
Probability Involving two-way tables
Probability using Two Way Tables
Probability using Venn Diagrams - 2 sets
Probability using Venn Diagrams – 2 sets
Probability using Venn Diagrams - 3 sets
Probability using Venn Diagrams – 3 sets
Probability using Set Notation for 2 sets
Probability using Set Notation for 2 sets
Probability using Set Notation for 3 sets
Probability using Set Notation for 3 sets
Combination of two independent events
Theoretical Probability – Combination of Two Independent Events
Two Independent events using tree diagrams
Theoretical Probability – Two Independent Events using Tree Diagrams
Three Independent Events using Tree Diagrams
Theoretical Probability – Three Independent Events using Tree Diagrams
Experimental Probability
Experimental Probability
Expectation
Expectation
Mutually exclusive events
Checking for Mutually Exclusive Events
Addition Law of Probability
Addition Law of Probability
Dependent Events
Concept of Dependent events
Dependent Events Involving Balls in a Bag
Theoretical Probability – Balls in a Bag without replacement
Dependent Events Involving a Pack of Cards
Theoretical Probability – Pack of Cards (without replacement)
Probability involving letters from a word
Theoretical Probability – Letters from a word (without replacement)
Dependent Probability involving Venn diagrams
Theoretical Probability – Venn Diagrams (without replacement)
Dependent Probability involving Two-Way Tables
Theoretical Probability – Dependent Events using Two Way Tables
Probability involving tree diagrams for miscellaneous situations
Theoretical Probability – Miscellaneous Situations involving Tree Diagrams
Conditional probabilty
Conditional Probability
Probability Involving repeated attempts
Probability involving Repeated Attempts
Finding the unknown in repeated attempts
Repeat until n attempts
Sums involving variables
Sums involving variables
Discrete Random Variables
Discrete & continuous variables
Classification of discrete and continuous variables
Possible values for x
Determining the possible values of X
Determining the number of possible outcomes
Determining the possible outcomes for a given value of X
Probability distributions
Valid Probability Distributions
Determining unknown values in Probability Distributions
Determining median & mode of probability distribution
Determining the median and mode of probability distributions
Interpreting values from probability distributions
Finding and interpreting values from probability distributions
Word Problems on probability distributions
Creating Probability Distribution Tables from Word Problems
Probability Mass functions
Probability Mass Functions
Expected Value
Expected value from probability distribution
Finding Expected Value from Probability Distributions
Expected value Using Two Unknowns
Expected Value with 2 unknowns
Word Problems on Expected value
Word Problems on Expected Value
Expected value involving Fair Games
Fair Games
Binomial Distribution
Concept of Binomial Distribution
Determining the possibility of a Binomial Distribution
Determining whether a distribution is binomial or not
Expressing a Binomial Statement
Expressing a Binomial Statement
Need for Pascal’s Triangle
Using Pascal’s Triangle
Calculating Using Pascal’s Triangle
Choosing the correct values for Binomial Calculations using Pascal’s Triangle
Probability of Binomial Distribution
Probability of Binomial Distribution (Using Technology)
Using Cumulative Binomial Distribution
Determining the correct expression for Cumulative Binomial Distribution
Probability of Binomial Distribution (Using BCD Technology)
Mean and Standard Deviation for a Binomial Distribution
Mean and Standard Deviation
Normal Distribution
Introduction to Normal Distribution
Matching curve with parameters
Expressing a Normal Distribution
The Normal Distribution curve
Finding values using mean and standard deviation
Using Diagrams to calculate probabilities
Using the ND Curve to calculate probabilities
Inverse Normal using probability diagram
Finding Mean & SD using Probability Diagram
Calculating Probabilities using technology
Calculating Probabilities using GDC
Binomial Distribution from normal distribution
Binomial Distribution from Normal Distribution
Inverse Normal
Position of values based on mean
Inverse Normal – Basics
Inverse Normal – Word Problems
Hypothesis Testing
Introduction to Hypothesis testing
Basic Concepts
Null and Alternative Hypotheses Statements
Performing a t-test
One sample t-test
Performing a 2 sample t-test
Two Sample t- test
Chi-Square Goodness of fit test
Chi-Square Goodness of fit - Conceptual explanation
Critical Value for Chi-Square
Chi Square Goodness of Fit
Chi-Square Test of independence
Chi-Square Test of independence - Conceptual explanation
Chi Square Test of Independence