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Non-Standard Normal Distribution definitions

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  • Standard Normal Distribution
    A bell-shaped curve with a mean of zero and a standard deviation 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 are distributed, often denoted by the Greek letter mu.
  • Standard Deviation
    A measure of spread indicating how much data points deviate from the mean, symbolized by sigma.
  • Z-Score
    A value representing how many standard deviations a data point is from the mean, enabling comparison across distributions.
  • Probability
    The likelihood or area under the curve to the left of a specific value in a normal distribution.
  • Z Table
    A reference chart or tool used to find probabilities associated with specific z-scores in a standard normal distribution.
  • Transformation Equation
    The formula (x - mu) divided by sigma, used to convert a value from a nonstandard to a standard normal distribution.
  • Bell Curve
    A graphical representation of a normal distribution, symmetric and centered around the mean.
  • Area
    The portion under the normal curve corresponding to the probability of a value or range of values.
  • Commute Time
    An example variable representing the time taken for travel, used to illustrate normal distribution concepts.
  • X Value
    A specific data point in a distribution, often found by reversing the z-score transformation.
  • Left Tail
    The portion of the normal curve representing values less than a specified point, often used in probability calculations.
  • Sampling Data
    A collection of observed values from a population, used to illustrate distribution properties.
  • Calculator
    A tool used to compute probabilities, z-scores, or x values when working with normal distributions.