Math Celebrity Lesson Plan

Statistics Lesson Plan: (19) lessons

Lesson Name	Lesson Description and Features	Shortcut Commands?	Quiz Generator?	Practice Problems?
Basic Statistics	Given a number set, and an optional probability set, this calculates the following statistical items: Mean = μ Variance = σ² Standard Deviation = σ Average Deviation Median Mode Range Upper Quartile (75th Percentile) Lower Quartile (25th Percentile) Inner-Quartile Range Inner Fences (Lower Inner Fence and Upper Inner Fence) Outer Fences (Lower Outer Fence and Upper Outer Fence) Suspect Outliers Highly Suspect Outliers	YES	YES	YES
Bayes Rule	Calculates the conditional probabilities of (B given A) of 2 events and a conditional probability event using Bayes Rule	N/A	YES	YES
Binomial Distribution	Calculates the probability of 3 separate events that follow a binomial distribution such as coin tosses.? It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, and standard deviation.	N/A	YES	YES
Chebyshevs Theorem	Using Chebyshevs Theorem, this calculates the following: Probability that random variable X is within k standard deviations of the mean. How many k standard deviations within the mean given a P(X) value.	N/A	YES	YES
Confidence Interval for the Difference of Means	Given two large or two small distriutions, this will determine a (90-99)% confidence interval for the difference of means for small or large sample populations.	N/A	N/A	N/A
Confidence Interval for the Mean	Calculates a (90% - 99%) confidence interval for the mean given a small sample size using the student-t method with (n - 1) degrees of freedom or a large sample size using the normal distribution Z-score (z value) method	N/A	N/A	YES
Confidence Interval for Variance and Standard Deviation	Calculates a (95% - 99%) confidence interval for the standard deviation or variance using the χ² method with (n - 1) degrees of freedom.	N/A	N/A	YES
Covariance and Correlation coefficient (r)	Given two distributions X and Y, this calculates Cov(X,Y) and the correlation coefficient r.	N/A	YES	YES
Frequency Distribution	Given a set of lower limits, upper limits, and count per limit range, this calculator will develop the frequency distribution table.	N/A	N/A	N/A
Geometric Distribution	Using a geometric distribution, it calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, and standard deviation.	N/A	YES	YES
Hypergeometric Distribution	Calculates the probability of drawing x objects out of a subgroup of k with n possibilities in a total group of N using the hypergeometric distribution.	N/A	YES	YES
Negative Binomial Distribution	Calculates the probability of the k^th success on the x^th try for a negative binomial distribution also known as the Pascal distribution.? ? It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, and standard deviation.	N/A	YES	YES
Normal Distribution	Calculates the probability that a random variable is less than or greater than a value or between 2 values using the Normal Distribution z-score (z value) method. Also calculates the Range of values for the 68-95-99.7 rule, or three-sigma rule, or empirical rule	YES	YES	YES
P-Hat Confidence Interval	Given a large sized distribution, and a success amount for a certain criteria x, and a confidence percentage, this will calculate the confidence interval for that criteria.	N/A	YES	YES
Poisson Distribution	Calculates the probability of 3 separate events that follow a poisson distribution such as coin tosses. It calculates the probability of exactly k successes P(x = k) No more than k successes P (x <= k) Greater than k successes P(x >= k) Each scenario also calculates the mean, variance, and standard deviation.	N/A	YES	YES
Probability (A U B U C)	Calculates the probability of a union of a three event sample space, A, B, and C, as well as P(A), P(B), P(C), P(A ∩ B), P(A ∩ C), P(B ∩ C), P(A ∩ B ∩ C).	N/A	N/A	N/A
Probability (A U B)	Given a 2 event sample space A and B, this calculates the probability of the following events: P(A U B) P(A) P(B) P(A ∩ B)	N/A	YES	YES
Random Sampling from the Normal Distribution	This calculates a probability that Z <= z or Z >= z using a random sample from a normal distribution.	N/A	YES	YES
Sign Test	This will determine whether to accept or reject a null hypothesis based on a number set, mean value, alternative hypothesis, and a significance level using the Sign Test.	N/A	N/A	YES

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