High School Statistics Curriculum

Below are the skills needed, with links to resources to help with that skill. We also enourage plenty of exercises and book work. Curriculum Home

Important: this is a guide only.
Check with your local education authority to find out their requirements.

High School Statistics | Data
☐ Categorize data as qualitative or quantitative
What is Data?
☐ Evaluate published reports and graphs that are based on data by considering: experimental design, appropriateness of the data analysis, and the soundness of the conclusions
Showing the Results of a Survey
Survey Questions
What is Data?
☐ Identify and describe sources of bias and its effect, drawing conclusions from data
How to Do a Survey
Accuracy and Precision
Fair Dice
☐ Determine whether the data to be analyzed is univariate or bivariate
Univariate and Bivariate Data
☐ Determine when collected data or display of data may be biased
How to Do a Survey
Accuracy and Precision
☐ Understand the differences among various kinds of studies (e.g., survey, observation, controlled experiment)
How to Do a Survey
Showing the Results of a Survey
Survey Questions
What is Data?
☐ Determine factors which may affect the outcome of a survey
How to Do a Survey
Survey Questions
Showing the Results of a Survey
☐ Categorize quantitative data as discrete or continuous.
What is Data?
Discrete and Continuous Data
High School Statistics | Combinations
☐ Determine the number of possible events, using counting techniques or the Fundamental Principle of Counting
Definition of Permutation
Definition of Combination
Probability
The Basic Counting Principle
Random Words
Coloring (The Four Color Theorem)
☐ Determine the number of possible arrangements (permutations) of a list of items
Factorial Function !
Combinations and Permutations
Combinations and Permutations Calculator
Definition of Factorial
Definition of Combination
Definition of Permutation
☐ Calculate the number of possible permutations (nPr) of n items taken r at a time
Definition of Factorial
Definition of Permutation
Combinations and Permutations
Combinations and Permutations Calculator
Factorial Function !
☐ Calculate the number of possible combinations (nCr) of n items taken r at a time
Factorial Function !
Combinations and Permutations
Combinations and Permutations Calculator
Definition of Factorial
Definition of Combination
Quincunx Explained
Activity: Subsets
☐ Use permutations, combinations, and the Fundamental Principle of Counting to determine the number of elements in a sample space and a specific subset (event)
Combinations and Permutations Calculator
Combinations and Permutations
☐ Differentiate between situations requiring permutations and those requiring combinations
Combinations and Permutations
Combinations and Permutations Calculator
High School Statistics | Probability
☐ Know the definition of conditional probability and use it to solve for probabilities in finite sample spaces
Conditional Probability
Probability Tree Diagrams
☐ Determine the number of elements in a sample space and the number of favorable events
Probability
Probability Tree Diagrams
☐ Calculate the probability of an event and its complement
The Spinner - Your Decision Maker
Probability
Activity: Dropping a Coin onto a Grid
Activity: Buffon's Needle
Probability: Complement
☐ Determine empirical probabilities based on specific sample data
The Spinner - Your Decision Maker
☐ Determine, based on calculated probability of a set of events, if: * some or all are equally likely to occur * one is more likely to occur than another * whether or not an event is certain to happen or not to happen
Probability
Conditional Probability
The Spinner - Your Decision Maker
Probability Tree Diagrams
☐ Calculate the probability of: * a series of independent events * two mutually exclusive events * two events that are not mutually exclusive
Probability: Independent Events
Mutually Exclusive Events
Probability Tree Diagrams
☐ Calculate theoretical probabilities, including geometric applications
Probability
Probability Line
Activity: Dropping a Coin onto a Grid
Activity: Buffon's Needle
☐ Calculate empirical probabilities
Bags of Marbles
Random Words
The Spinner - Your Decision Maker
Probability
☐ Know and apply the binomial probability formula to events involving the terms exactly, at least, and at most
Quincunx
Pascal's Triangle
Combinations and Permutations
Binomial Theorem
Quincunx Explained
High School Statistics | Statistics
☐ Find the percentile rank of an item in a data set and identify the point values for first, second, and third quartiles
Quartiles
☐ Identify the relationship between the independent and dependent variables from a scatter plot (positive, negative, or none)
Definition of Scatter Plot
☐ Understand the difference between correlation and causation
Scatter (XY) Plots
Correlation
☐ Identify variables that might have a correlation but not a causal relationship
Scatter (XY) Plots
Correlation
☐ Compare and contrast the appropriateness of different measures of central tendency for a given data set
Definition of Mean
Definition of Median
Definition of Mode
How to Calculate the Mean Value
How to Calculate the Median Value
How to Calculate the Mode or Modal Value
The Mean Machine
☐ Construct a histogram, cumulative frequency histogram, and a box-and-whisker plot, given a set of data
Definition of Frequency Histogram
Histograms
Quartiles
☐ Understand how the five statistical summary (minimum, maximum, and the three quartiles) is used to construct a box-and-whisker plot
Quartiles
☐ Create a scatter plot of bivariate data
Scatter (XY) Plots
Cartesian Coordinates
Correlation
☐ Analyze and interpret a frequency distribution table or histogram, a cumulative frequency distribution table or histogram, or a box-and-whisker plot
Definition of Frequency Histogram
Histograms
Definition of Cumulative Frequency
Cumulative Tables and Graphs
Quartiles
☐ Use the normal distribution as an approximation for binomial probabilities
Quincunx
Quincunx Explained
☐ Calculate measures of central tendency with group frequency distributions
Calculating the mean from a frequency table
Definition of Mean
Definition of Median
Definition of Mode
How to Calculate the Mean Value
How to Calculate the Median Value
How to Calculate the Mode or Modal Value
☐ Calculate measures of dispersion (range, quartiles, interquartile range, standard deviation, variance) for both samples and populations
Standard Deviation and Variance
Standard Deviation Calculator
Definition of Range (statistics)
Quartiles
Standard Deviation and Variance
The Range (Statistics)
Standard Deviation Formulas
☐ Know and apply the characteristics of the normal distribution
Standard Normal Distribution Table
Quincunx Explained
Normal Distribution
☐ Interpret within the linear regression model the value of the correlation coefficient as a measure of the strength of the relationship
Scatter (XY) Plots
Correlation
☐ Use the Standardized Normal distribution table.
Standard Normal Distribution Table
☐ Calculate the mean from a frequency table.
Calculating the mean from a frequency table
☐ In relation to the Normal Distribution, understand what is meant by the 1 sigma, 2 sigma and 3 sigma limits and how to calculate them.
Normal Distribution
☐ Understand what is meant by the Standard Normal Distribution; and know how to standardize a Normal Distribution with known mean and standard deviation.
Normal Distribution
Standard Normal Distribution Table
☐ Understand what is meant by an Outlier and how it can affect the values of the mean, median and mode.
Outliers
How to Calculate the Mean Value
How to Calculate the Median Value
How to Calculate the Mode or Modal Value
☐ Understand that data can be positively or negatively skewed, or have no skew (as in the case of the Normal Distribution).
Skewed Data
Normal Distribution
☐ Know how to construct a grouped frequency distribution, and make decisions on the optimum size of each group.
Discrete and Continuous Data
Grouped Frequency Distribution
Frequency Distribution
Histograms
Activity: Lengths of Leaves

 

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