Normal Curve and Z-scores_default

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16 Terms

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Normal Curve

A theoretical bell-shaped curve that represents the distribution of a variable, symmetric around the mean.

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Gaussian Distribution

Another name for the normal distribution, named after mathematician Carl Friedrich Gauss.

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Z-Score

A measure of how many standard deviations an individual score is from the mean of the distribution.

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Standard Deviation

A measure that quantifies the amount of variation or dispersion in a set of values.

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Mean

The average of a set of numbers, calculated by summing the values and dividing by the count.

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Outlier

A data point that significantly differs from other observations in the dataset.

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Inferential Statistics

Statistical methods that allow for making inferences about a population based on a sample.

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Area Under the Curve (AUC)

In probability distributions, it represents the total probability, equal to 1.

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Deviation Score

The difference between an individual score and the mean of the distribution.

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68-95-99.7 Rule

States that 68.2% of data falls within one standard deviation, 95.4% within two, and 99.7% within three standard deviations of the mean.

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Probability Distribution

A mathematical function that provides the probabilities of occurrence of different possible outcomes.

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Symmetry in Normal Distribution

In a perfect normal distribution, the left side and right side are mirrored and have the same shape.

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Continuous Distribution

A probability distribution that shows the probabilities of the possible values of a continuous random variable.

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Standard Normal Distribution

A normal distribution with a mean of 0 and a standard deviation of 1.

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Z-Table

A table that shows the cumulative probability of a standard normal distribution for different Z-scores.

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Percent Probability

The likelihood of an event occurring, expressed as a percentage.