Normal Distribution Lecture Notes

These flashcards cover key concepts related to normal distribution, characteristics, and applications as discussed in the lecture notes.

Normal Distribution

A bell-shaped distribution where data is symmetrically distributed around the mean, median, and mode.

Mean, Median, Mode

In a normal distribution, the mean, median, and mode are all equal.

Skewed Distribution

A distribution that is asymmetrical or lopsided, either left or right, where the mean is not equal to the median and mode.

Bimodal Distribution

A distribution with two modes or peaks, indicating the presence of two sub-groups.

Standard Deviation

A measure of how spread out the values in a data set are around the mean.

Empirical Rule

In a normal distribution, approximately 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.

Outliers

Values in a dataset that are significantly higher or lower than the majority of the data.

Symmetric Distribution

A distribution where the left and right sides are mirror images of each other.

Percentile

A measure that indicates the value below which a given percentage of observations fall.

Standard Score (Z-score)

A statistical measurement that describes a value's relation to the mean of a group of values, expressed in terms of standard deviations.