4/8 Normal Distribution Curves

Front

What is a normal distribution curve?

Back

A normal distribution curve is a bell-shaped curve that represents the distribution of a set of data where most values cluster around a central peak and probabilities for values further away from the mean taper off equally in both directions.

Front

What percentage 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 in a normal distribution.

Front

What percentage 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 in a normal distribution.

Front

What percentage 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 in a normal distribution.

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 the normal distribution curve.

Front

What is the standard deviation in a normal distribution?

Back

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

Front

How do you find the area under the normal curve?

Back

The area under the normal curve represents probabilities and can be found using z-scores and standard normal distribution tables.

Front

What does a z-score represent in a normal distribution?

Back

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

Front

What is the empirical rule in statistics?

Back

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

Front

What shape does a normal distribution curve have?

Back

A normal distribution curve has a bell shape.