### Statistics Calculators: (64) lessons

 [+] Analysis of Variance (ANOVA) Performs 1 way analysis of variance or 2 way analysis of variance on a set of data with critical value test and conclusion.Features: Calculator | Watch the VideoTags: analysis, anova, variance [+] Basic StatisticsGiven a number set, and an optional probability set, this calculates the following statistical items:Expected ValueMean = μVariance = σ2Standard Deviation = σ Standard Error of the Mean Skewness Mid-Range Average Deviation (Mean Absolute Deviation)MedianModeRangePearsons Skewness CoefficientsEntropyUpper Quartile (hinge) (75th Percentile) Lower Quartile (hinge) (25th Percentile) InnerQuartile Range Inner Fences (Lower Inner Fence and Upper Inner Fence) Outer Fences (Lower Outer Fence and Upper Outer Fence) Suspect Outliers Highly Suspect Outliers Stem and Leaf Plot Ranked Data Set Central Tendency Items such as Harmonic Mean and Geometric Mean and Mid-Range Root Mean Square Weighted Average (Weighted Mean) Frequency Distribution Successive RatioFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (2): 1,2,3,4,5, (-6,4,3,-9,2,8)Tags: average deviation, entropy, expected value, inner fence, mean, median, mode, outer fence, outliers, quartile, range, rank, sample space, standard deviation, variance [+] Bayes RuleCalculates the conditional probabilities of (B given A) of 2 events and a conditional probability event using Bayes RuleFeatures: Calculator | Quiz Generator | Practice Problem GeneratorTags: bayes, probability [+] Bernoulli TrialsGiven a success probability p and a number of trials (n), this will simulate Bernoulli Trials and offer analysis using the Bernoulli Distribution. Also calculates the skewness, kurtosis, and entropyFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (2): 10 bernoulli trials at 0.45, success probability of 0.75 using 20 trialsTags: expected value, trial [+] Binomial DistributionCalculates the probability of 3 separate events that follow a binomial 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, standard deviation, skewness and kurtosis. Also calculates the normal approximation to the binomial distribution with and without the continuity correction factor Calculates moment number t using the moment generating functionFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (1): n=10, p=0.4, x=3Tags: binomial, distribution, event, mean, moment, probability, standard deviation, variance [+] Chebyshevs TheoremUsing 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.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: chebyshev, mean, standard deviation, theorem [+] Chi-Square χ2 TestThis calculator determines a χ2 chi-square test on a test statistic and determines if it is outside an accepted range with critical value test and conclusion.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: critical value, test statistic [+] Chi-Square Critical ValuesGiven a probability, this calculates the critical value for the right-tailed and left-tailed tests for the Chi-Square Distribution. CHIINV from Excel is used as well.Features: Calculator | Practice Problem Generator | Watch the VideoExamples (3): df=10,alpha=0.05, df=6,a=0.99, CHIINV(0.99,14)Tags: critical value, probability [+] Class Frequency Goodness of FitPerforms a goodness of fit test on a set of data with class boundaries (class boundary) with critical value test and conclusion.Features: CalculatorTags: class boundary, critical value, goodness of fit, hypothesis [+] Coin Toss ProbabilityThis calculator determines the following coin toss probability scenarios * Coin Toss Sequence such as HTHHT * Probability of x heads and y tails * Probability of at least x heads in y coin tosses * Probability of at least x tails in y coin tosses * Probability of no more than x heads in y coin tosses * Probability of no more than x tails in y coin tosses * (n) Coin Tosses with a list of scenario results displayed * Monte Carlo coin toss simulationFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (7): HHTHT, THTHT, HHT, TTH, 2 tails and 1 head, 535 coin tosses, flip a coin 300 timesTags: coin, monte carlo, probability [+] Confidence Interval for the MeanCalculates a (90% - 99%) estimation of 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 including Standard Error of the MeanFeatures: Calculator | Practice Problem Generator | Watch the VideoTags: confidence interval, degrees of freedom, mean [+] Confidence Interval for Variance and Standard DeviationCalculates a (95% - 99%) estimation of confidence interval for the standard deviation or variance using the χ2 method with (n - 1) degrees of freedom.Features: Calculator | Practice Problem Generator | Watch the VideoExamples (1): chiconf.php c=0.99, s=36, n=18Tags: confidence interval, degrees of freedom, standard deviation, variance [+] Confidence Interval of a ProportionGiven N, n, and a confidence percentage, this will calculate the estimation of confidence interval for the population proportion π including the margin of errorFeatures: Calculator | Practice Problem Generator | Watch the VideoExamples (1): In a random sample of 150 persons having their lunch at the University cafeteria it was observed that 30 people preferred vegetable dishes. Find a 95% confidence interval for the proportion who liked vegetables.Tags: confidence interval, proportion [+] Confidence Interval/Hypothesis Testing for the Difference of MeansGiven two large or two small distriutions, this will determine a (90-99)% estimation of confidence interval for the difference of means for small or large sample populations. Also performs hypothesis testing including standard error calculation.Features: Calculator | Practice Problem GeneratorTags: confidence, hypothesis testing, mean, standard error [+] Container ArrangementsGiven a set of items inside a container, this calculates the probability that you draw certain items in the following fashion: Draw all the items Draw any of the items How many ways can you choose m items of a, n items of b, o items of c, etc.Features: CalculatorTags: arrangements, draw, probability [+] Covariance and Correlation coefficient (r) and Least Squares Method and Exponential FitGiven two distributions X and Y, this calculates the following: * Covariance of X and Y denoted Cov(X,Y) * The correlation coefficient r. * Using the least squares method, this shows the least squares regression line (Linear Fit) and Confidence Intervals of α and Β (90% - 99%) Exponential Fit * Coefficient of Determination r squared r2 * Spearmans rank correlation coefficient * Wilcoxon Signed Rank testFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: confidence interval, correlation, covariance, exponential, standard deviation, variance [+] Critical Values for F-testCalculate a critical value for the F-Test statistic based on DF1, DF2, and αFeatures: Calculator | Practice Problem GeneratorTags: critical value, degrees of freedom [+] Critical Z-valuesGiven a probability from a normal distribution, this will generate the z-score critical value. Uses the NORMSINV Excel function.Features: Calculator | Practice Problem Generator | Watch the VideoExamples (3): a=0.03, alpha=0.05, NORMSINV(0.95)Tags: area, critical value [+] Difference of Proportions TestCalculates a test statistic and conclusion for a hypothesis for the difference of proportionsFeatures: Calculator | Quiz Generator | Practice Problem GeneratorTags: hypothesis, proportion, test statistic [+] Event LikelihoodGiven a probability, this determines how likely that event isFeatures: CalculatorExamples (0): [+] Expected FrequencyGiven a contingency table (two-way table), this will calculate expected frequencies and then determine a conclusion based on a Χ2 test with critical value test and conclusion.Features: Calculator | Watch the VideoTags: critical value, frequency, hypothesis, test statistic [+] Exponential DistributionCalculates the Probability Density Function (PDF) and Cumulative Density Function (CDF) of the exponential distribution as well as the mean, variance, standard deviation, and entropy.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: density, distribution, entropy, exponential, mean, standard deviation, variance [+] Exponential SmoothingPerforms exponential smoothing on a set of data.Features: Calculator | Practice Problem Generator | Watch the VideoTags: average, exponential, smoothing [+] F Test StatisticCalculates the F-test statistic for two populationsFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: population, test statistic [+] Fisher Transformation and Fisher InverseGiven a correlation coefficient (r), this calculates the Fisher Transformation (z).Given a Fisher Transformation (r), this calculates the Fisher Inverse (r)Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (2): fisher transformation for 0.75, fisher inverse of -0.5Tags: correlation, fisher, inverse [+] Fishers Exact TestGiven a, b, c, and d, this calculates the probability of any such set of values using Fishers exact TestFeatures: Calculator | Practice Problem Generator | Watch the VideoExamples (0): Tags: fisher, probability [+] Frequency Distribution TableDetermines the classes and frequency distribution using the 2 to k rule.Features: Calculator | Practice Problem GeneratorTags: data, distribution, frequency [+] Fundamental Rule of CountingGiven a set of items, this calculates the total number of groups/choices that can be formed using the rule of product.Features: Calculator | Quiz Generator | Practice Problem GeneratorTags: choice, counting, product [+] Geometric DistributionUsing 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, standard deviation, skewness, and kurtosis. Calculates moment number t using the moment generating functionFeatures: Calculator | Quiz Generator | Practice Problem GeneratorExamples (1): n=5,p=0.3Tags: distribution, event, mean, probability, standard deviation, variance [+] Grand MeanCalculates the grand mean of a set of number sets.Features: Calculator | Practice Problem Generator | Watch the VideoTags: mean, number set [+] Hypergeometric DistributionCalculates 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.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: distribution, event, mean, probability, standard deviation, variance [+] Hypothesis Testing for a proportionPerforms hypothesis testing using a test statistic for a proportion value.Features: Calculator | Practice Problem GeneratorTags: hypothesis testing, test statistic [+] Hypothesis testing for the meanPerforms hypothesis testing on the mean both one-tailed and two-tailed and derives a rejection region and conclusionFeatures: Calculator | Practice Problem GeneratorTags: conclusion, hypothesis, mean, rejection region [+] MAPE - MPE - MAPDGiven a time series of actual and forecasted values, this determines the following: * Mean Absolute Percentage Error (MAPE) also known as the Mean Absolute Percentage Deviation (MAPD) * Symmetric Mean Absolute Percentage Error (sMAPE) * Mean Absolute Percentage Error (MPE)Features: Calculator | Quiz Generator | Practice Problem Generator [+] Margin of Error from Confidence IntervalGiven a confidence interval, this determines the margin of error and sample mean.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (2): margin of error for 1,9, margin of error (2,10)Tags: confidence interval, margin of error, mean [+] Mcnemar TestGiven a 2 x 2 contingency table and a significance level, this will determine the test statistic, critical value, and hypothesis conclusion using a Mcnemar test.Features: Calculator | Practice Problem GeneratorTags: hypothesis, test statistic [+] Missing AverageGiven a set of scores and an average, this calculates the next score necessary to attain that averageFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (1): Given 2 scores of 75, 85, what should be score number 3 in order to attain an average score of 72?Tags: average, numbers [+] Multinomial DistributionGiven a set of xi counts and a respective set of probabilities θi, this calculates the probability of those events occurring.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: event, probability [+] Negative Binomial DistributionCalculates the probability of the kth success on the xth 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.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: binomial, distribution, event, mean, probability, standard deviation, variance [+] Normal DistributionCalculates 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 (Central Limit Theorem). Also calculates the Range of values for the 68-95-99.7 rule, or three-sigma rule, or empirical ruleFeatures: Calculator | Quiz Generator | Practice Problem GeneratorExamples (3): P(Z>1.5), P(Z<2.15), The amount of Jens monthly phone bill is normally distributed with a mean of \$73 and a standard deviation of \$12. What percentage of her phone bills are between \$37 and \$109?Tags: distribution, event, mean, probability, standard deviation, variance, z score [+] Odds ProbabilityGiven an odds prediction m:n of an event success, this calculates the probability that the event will occur or not occurFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoExamples (3): 3:2 odds, 7 to 5, 7 to 5 odds againstTags: event, odds, probability [+] Odds RatioThis calculator determines the odds ratio for 2 groups X and Y with success and failure for an outcome.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: odds, outcome, probability, ratio [+] P-Hat Confidence IntervalGiven 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.Features: Calculator | Quiz Generator | Practice Problem GeneratorTags: confidence interval, estimator [+] Paired Means DifferenceCalculates an estimation of confidence interval for a small or large sample difference of dataFeatures: Calculator | Quiz GeneratorTags: confidence interval, difference [+] Percentile for Normal DistributionGiven a mean, standard deviation, and a percentile range, this will calculate the percentile value.Features: Calculator | Quiz Generator | Practice Problem Generator [+] PercentilesGiven a set of scores and a target score, this will determine the percentile of the target score using two different formulas.Features: Calculator | Practice Problem Generator | Watch the VideoTags: percent, rank [+] Point Estimate and Margin of ErrorGiven an upper bound and a lower bound and a sample size, this calculate the point estimate, margin of error.Features: Calculator | Quiz Generator | Practice Problem Generator [+] Poisson DistributionCalculates the probability of 3 separate events that follow a poisson distribution.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, standard deviation, skewness, and kurtosis. Calculates moment number t using the moment generating functionFeatures: Calculator | Quiz Generator | Practice Problem GeneratorTags: distribution, event, mean, moment, probability, standard deviation, variance [+] 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).Features: CalculatorTags: intersection, probability, sample space, union [+] 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)Features: Calculator | Quiz Generator | Practice Problem GeneratorTags: intersection, probability, sample space, union [+] Proportion Sample SizeThis calculator determines a sample size to select to meet certain criteria related to a confidence percentage, reliability percentage, and a p value proportion. Simply enter your values not using percentage signs. This works whether p^ is known or not known.Features: Calculator | Practice Problem Generator | Watch the VideoTags: proportion, reliability, sample size [+] Random Sampling from the Normal DistributionThis performs hypothesis testing on a sample mean with critical value on a sample mean or calculates a probability that Z <= z or Z >= z using a random sample from a normal distribution.Features: Calculator | Quiz Generator | Practice Problem GeneratorTags: critical value, hypothesis, mean, probability, sample [+] Random TestGiven a set of data and an α value, this determines the test statistic and accept/reject hypothesis based on randomness of a dataset.Features: Calculator | Quiz GeneratorTags: hypothesis, test statistic [+] Rule of SuccessionGiven s successes in n independent trials, this calculates the probability that the next repetition is a successFeatures: Calculator | Practice Problem Generator [+] Sample Size Reliability for μGiven a population standard deviation σ, a reliability (confidence) value or percentage, and a variation, this will calculate the sample size necessary to make that test valid.Features: Calculator | Practice Problem Generator | Watch the VideoTags: confidence, reliability, sample size [+] Sample Size Requirement for the Difference of MeansGiven a population standard deviation 1 of σ1, a population standard deviation 2 of σ2 a reliability (confidence) value or percentage, and a variation, this will calculate the sample size necessary to make that test valid.Features: Calculator | Practice Problem GeneratorTags: difference of means, reliability, sample size [+] Sample Space ProbabilityGiven a sample space S and an Event Set E, this calculates the probability of the event set occuring.Features: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: event, probability, sample, subset [+] Sign TestThis 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.Features: Calculator | Practice Problem GeneratorTags: accept, hypothesis, reject, significance, test [+] Student-t Distribution Critical ValuesGiven an α value and degrees of freedom, this calculates the right-tailed test and left-tailed test critical values for the Student-t DistributionFeatures: Calculator | Practice Problem Generator | Watch the VideoExamples (2): df=10,alpha=0.05, df=6,a=0.99Tags: critical value, degrees of freedom [+] Tabular DisplayEnter a set of x and p(x) in a tabular probability distribution format and this will evaluate if it is valid or not.Features: Calculator | Practice Problem Generator | Watch the VideoTags: distribution, probability [+] Trimmed Mean and Winsorized MeanGiven a number set and a trimmed mean percentage, this will calculate the trimmed mean (truncated mean) or winsorized mean.Features: Calculator | Practice Problem Generator | Watch the VideoTags: mean, trim [+] Uniform DistributionThis calculates the following items for a uniform distribution * Probability Density Function (PDF) ƒ(x) * Cumulative Distribution Function (CDF) F(x) * Mean, Variance, and Standard Deviation Calculates moment number t using the moment generating functionFeatures: Calculator | Quiz Generator | Practice Problem Generator | Watch the VideoTags: density, distribution, uniform [+] Venn Diagram (2 circles)Given two circles A and B with an intersection piece of C, this will calculate all relevant probabilities of the Venn Diagram.Features: CalculatorTags: diagram, probability [+] Z Score LookupGiven a Z-score probability statement from the list below, this will determine the probability using the normal distribution z-table. * P(z < a) * P(z <= a) * P(z > a) * P(z >= a) * P(a < z < b)Features: Calculator | Practice Problem GeneratorExamples (3): P(Z<1.5), P(z > 0.25), p(0 < z < 2.16)Tags: distribution, probability, z score