Standard Deviation and Normal Distribution Flashcard

x̄ represents the average of the data set.

68% of the information falls within one standard deviation of the mean.

The standard deviation is 15.

μ represents the mean of a data set.

Standard deviation is calculated as the square root of the variance.

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.

The empirical rule states that for a normal distribution, approximately 68% of data falls within one standard deviation, 95% within two, and 99.7% within three standard deviations from the mean.

The range of scores would be from 75 to 85.

Variance is the average of the squared differences from the mean.

A higher standard deviation indicates that the data points are spread out over a wider range of values.