Normal Distribution

Front

What is a normal distribution?

Back

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

Front

What is the empirical rule?

Back

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

Front

What does it mean if a distribution is skewed to the left?

Back

A left-skewed distribution has a longer tail on the left side, meaning that the majority of the data points are concentrated on the right.

Front

What does it mean if a distribution is skewed to the right?

Back

A right-skewed distribution has a longer tail on the right side, indicating that most data points are concentrated on the left.

Front

How does an outlier affect the mean and median?

Back

An outlier can pull the mean in its direction, making it less representative of the data set, while the median remains more stable.

Front

What is the mean in a normal distribution?

Back

The mean is the average of all data points and is located at the center of a normal distribution curve.

Front

What is the standard deviation?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What percentage of data falls within 1 standard deviation of the mean in a normal distribution?

Back

Approximately 68% of the data falls within 1 standard deviation of the mean.

Front

What percentage of data falls within 2 standard deviations of the mean in a normal distribution?

Back

Approximately 95% of the data falls within 2 standard deviations of the mean.

Front

What percentage of data falls within 3 standard deviations of the mean in a normal distribution?

Back

Approximately 99.7% of the data falls within 3 standard deviations of the mean.