Statistics and Probability

A collection of all possible outcomes of a random experiment.

The number of observations or individuals in a sample selected from a larger population.

A random variable that has either a finite or countable number of values.

A variable that has infinitely many values.

Different techniques used to select samples from a population, including simple, convenience, systematic, quota, and stratified sampling.

Data grouped into intervals or classes instead of listing each individual data point.

The running total of frequencies in a frequency distribution.

A graphical representation of cumulative frequencies.

Measures the relationship between two variables and the strength and direction of their association.

Helps in understanding and modeling the relationship between a dependent variable and one or more independent variables.

Fundamental rules and concepts in probability theory, including the addition rule, multiplication rule, and complement rule.

Random variables assigned a probability in random experiments with a finite or countable number of values.

Applies to events that can be described as a "success" or "failure" with a fixed number of trials and a constant probability of success.

A bell-shaped probability distribution characterized by its mean and standard deviation.

Another way of describing a linear regression.

The independence of two random variables given the value of a third random variable.

The process of standardizing data to have a mean of 0 and a standard deviation of 1.

Describes how to update the probability of a hypothesis based on new evidence.

Random variables that can take on any value within a certain range or interval.

A branch of mathematics that involves analyzing and interpreting data.

The average of a population, calculated by summing all values and dividing by the number of values.

The middle value in a dataset when arranged in ascending or descending order.

The value that occurs most frequently in a dataset.

The difference between the highest and lowest data values.

The likelihood of an event occurring, often measured numerically.

An experiment in which the outcome cannot be determined beforehand.

An action in a random experiment.

A possible result of a trial.

A set of possible outcomes.

Used to calculate the probability of both event A and event B occurring.

A list of each category and the number of occurrences for each category of data.

Measures the deviation between scores and the mean, representing the average of differences between values and the mean.

A variable that has infinitely many values and can be plotted on a line in an uninterrupted fashion.

A probability distribution that describes the number of successes in a fixed number of independent Bernoulli trials.

A statistical test that determines whether a set of observed values matches those expected under the applicable model.

A statistical test that determines whether a set of observed values matches those expected under the applicable model.

A graph that displays the aggregate frequency of a category or the total number of observations that are less than or equal to the categories.

A graph that displays the proportion or percentage of observations that are less than or equal to the categories of the discrete data.

An assumption about a population parameter that may or may not be true and is tested using sample data.

The belief that a new drug has a different effect on average compared to a current drug or that the new drug is better on average than the current drug.

The belief that there is no significant difference between two variables or that the population parameter is greater than or equal to a specific value.

The process of either rejecting or failing to reject a hypothesis based on the evidence.

A hypothesis test where the population mean is less than a specific value.

A hypothesis test where the population mean is greater than a specific value.

A hypothesis test that is either left or right-tailed.

A hypothesis test that has two critical values and can either reject or fail to reject the null hypothesis.

A statistical test used to determine if there is a significant difference between the means of two groups.

A measure of how many standard deviations an observation or data point is from the mean.

A statistical measure of the strength and direction of the linear relationship between two variables.

A data point whose value is significantly greater than or less than the other values.

An isolated group of points in a graph.

A large space between data points in a graph.

A graph that uses rectangles to represent the frequency or relative frequency of each class.

A graphical representation of quantitative data where the stem represents the leftmost digits and the leaf represents the rightmost digit.

A graph that shows the dispersion of data using quartiles and outliers.

A bar graph where the bars are drawn in decreasing order of frequency or relative frequency.

A circle divided into sectors where each sector represents a category of data.

A graph where each observation is represented by a dot placed above the observation.

A graph that shows the measurement of a variable over time.

A graph that represents the cumulative or cumulative relative frequency of a class.

The level of certainty or probability associated with a confidence interval.

The maximum likely difference between the true population parameter and a sample estimate of that parameter.

The proportion or percentage of individuals in a population that exhibits a certain characteristic or attribute of interest.