BackNon-Standard Normal Distribution definitions
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1/15BackSkip to main contentBackStandard Normal Distribution
A bell-shaped curve centered at zero with a spread of one, used as a reference for probability calculations. Nonstandard Normal Distribution
A bell-shaped curve with any mean and standard deviation, requiring transformation for standard analysis. Mean
The central value around which data points cluster in a normal distribution, often denoted by the Greek letter mu. Standard Deviation
A measure of spread indicating how much data points deviate from the mean, commonly represented by sigma. Z-Score
A value expressing how many standard deviations a data point is from the mean, enabling comparison across distributions. Probability
The likelihood that a random variable falls within a specified range, often visualized as area under the curve. Z-Table
A reference chart listing probabilities associated with z-scores, used to find areas under the standard normal curve. Transformation Equation
A formula converting a nonstandard variable to a z-score, allowing use of standard normal tools for analysis. Bell Curve
A graphical representation of a normal distribution, symmetric and centered around the mean. Area Under the Curve
A visual measure representing probability for a range of values in a normal distribution. Commute Time
An example of a real-world variable modeled by a normal distribution, used to illustrate probability calculations. Sampling Data
A collection of observed values from a population, often used to estimate distribution parameters. X Value
A specific data point in a distribution, often calculated from a given probability using transformation formulas. Population
The entire set of individuals or items under study, from which sampling data is drawn. Left Tail
The portion of a normal distribution curve representing values less than a specified point, often used in probability calculations.
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