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Probabilities & Z-Scores w/ Graphing Calculator definitions

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  • Z-Score

    A standardized value indicating how many standard deviations a data point is from the mean in a normal distribution.
  • Normal Distribution

    A symmetric, bell-shaped curve where most values cluster around the mean, with probabilities determined by area under the curve.
  • TI-84 Calculator

    A graphing calculator model commonly used for statistical calculations, featuring built-in probability and distribution functions.
  • Normalcdf Function

    A calculator tool that computes the probability or area under the normal curve between specified bounds.
  • Inverse Norm Function

    A calculator feature that finds the z-score corresponding to a given cumulative probability in a normal distribution.
  • Standard Normal Distribution

    A normal distribution with a mean of zero and a standard deviation of one, used as a reference for z-scores.
  • Lower Bound

    The leftmost value specified when calculating area under the curve, often set to a very large negative number for left-tail probabilities.
  • Upper Bound

    The rightmost value specified when calculating area under the curve, marking the endpoint for probability calculations.
  • Area

    The region under the normal curve between two points, representing the probability of a value falling within that range.
  • Left-Tail Probability

    The probability that a value is less than a specified point, represented by the area to the left of that point under the curve.
  • Right-Tail Probability

    The probability that a value exceeds a specified point, represented by the area to the right of that point under the curve.
  • Mean

    The central value of a distribution, serving as the reference point for z-scores in a normal curve.
  • Standard Deviation

    A measure of spread in a distribution, indicating the average distance of data points from the mean.
  • Distribution Menu

    A calculator interface section where statistical functions like normalcdf and inverse norm are accessed.
  • Graphing Window Settings

    Calculator parameters that control the visible range of the graph, ensuring the normal curve and shaded areas are displayed correctly.