Exam Review #4

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 shape is another name for a normal distribution?

Back

Bell curve.

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

If a data set is normally distributed, what is the probability of a value being greater than the mean?

Back

50%.

Front

In a normal distribution, what does the area under the curve represent?

Back

The total probability of all outcomes, which equals 1.

Front

What is the empirical rule in statistics?

Back

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

Front

What is the z-score in a normal distribution?

Back

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

Front

What percentage of U.S. females are between 5'6.5" and 5'11" if their heights are normally distributed?

Back

81.5%.