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Event
One or more outcome of an experiment
Probability Density Function (PDF)
The area under the curve represents the likelihood/probability of the variable taking on values between 'a' and 'b'
Central Limit Theorem
the sampling distribution of the mean of any independent random variable will be normal or near normal if the sample size is large enough
CLT Requirements and Benefit
A sample size equal to or greater than 30 is usually required for CLT to hold true. It allows for a good estimate of the population mean
Confidence Interval
An interval computed from sample data that is expected to capture the population parameter for a specified proportion of all samples
Random Experiment
An experiment or process for which the outcome cannot be predicted with certainty
Sample Space
The entire possible set of outcomes of a random experiment
Parameter
A measure that describes characteristics of the population
Statistic
An area of applied mathematics concerning data collection, data analysis, data interpretation, and data presentation
Descriptive Statistics
Uses data to describe the population parameters through numbers and graphics
Inferential Statistics
Uses data collected from a sample of a population to make predictions about the entire population
Frequency Distribution
Represents all values in the data and the frequencies associated with those values
What is commonly used to visualize frequency
Histograms
Central Tendency
Summary statistics that represent the center point or typical value of a dataset (where the most common values are located)
Mode
The value that occurs with the greatest frequency in a dataset
Dispersion (Variation)
Represents how much the data points deviate from the center of the dataset, or how spread out the data is
Range
The distance between the maximum and minimum values in a dataset