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, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Front

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

Back

68%.

Front

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

Back

95%.

Front

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

Back

99.7%.

Front

How does an outlier on the left affect the mean and median?

Back

The mean would be farther less than the median.

Front

How does an outlier on the right affect the mean and median?

Back

The mean would be greater than the median.

Front

What is the shape of a normal distribution graph?

Back

A bell-shaped curve.

Front

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

Back

It means that the left tail of the distribution is longer or fatter than the right tail, indicating 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

It means that the right tail of the distribution is longer or fatter than the left tail, indicating that the majority of the data points are concentrated on the left.