Normal Distributions area

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

Back

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

Front

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

Back

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

Front

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

Back

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

Front

What is the empirical rule?

Back

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

Front

What is the area under the normal distribution curve?

Back

The total area under the normal distribution curve is equal to 1 (or 100%).

Front

What does the area between the mean and one standard deviation represent?

Back

The area between the mean and one standard deviation represents approximately 34% of the data.

Front

What percent is represented by the area between -1 and 1 in a normal distribution?

Back

Approximately 68% of the data is represented by the area between -1 and 1.

Front

What is the significance of the z-score in a normal distribution?

Back

The z-score indicates how many standard deviations an element is from the mean.

Front

What percent is represented by the area greater than -3 in a normal distribution?

Back

Approximately 99.85% of the data is represented by the area greater than -3.