3.07 Practice (Normal Distribution - Empirical Rule)

Front

What is the total sum of the percentages under the standard normal distribution curve?

Back

100%

Front

What percent of students in a course have a GPA between 2.9 and 3.8 if the mean GPA is 3.2 and standard deviation is 0.3?

Back

81.5%

Front

If 68% of the scores on a test are between 51 and 64, what are the mean and standard deviation?

Back

Mean = 57.5, S.D. = 6.5

Front

What percent of dairy products last between 12 and 15 days if the shelf life is normally distributed with a mean of 12 days and a standard deviation of 3 days?

Back

34%

Front

What does the shaded part of a normal distribution graph represent if it shows data that is one or more standard deviations above the mean?

Back

All data that is one or more standard deviations above the mean.

Front

Define the Empirical Rule in the context of normal distribution.

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 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 mean in a normal distribution?

Back

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

Front

What is standard deviation in a normal distribution?

Back

Standard deviation measures the amount of variation or dispersion of a set of values.

Front

How do you calculate the z-score for a value in a normal distribution?

Back

Z-score = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.