Normal Distribution -empirical rule

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 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 1 standard deviation of the mean in a normal distribution?

Back

68%

Front

What percentage of data falls within 2 standard deviations of the mean in a normal distribution?

Back

95%

Front

What percentage of data falls within 3 standard deviations of the mean in a normal distribution?

Back

99.7%

Front

If a dairy product has a mean shelf life of 12 days and a standard deviation of 3 days, what percentage of products last between 12 and 15 days?

Back

34%

Front

In a normally distributed dataset, if 95% of students weigh between 62 kg and 90 kg, what is the mean and standard deviation?

Back

Mean = 76 kg, S.D. = 7 kg

Front

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

Back

16%

Front

What is the total area under the standard normal distribution curve?

Back

1

Front

Define standard deviation in the context of normal distribution.

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values. In a normal distribution, it determines the width of the curve.

Front

What does it mean if a dataset is normally distributed?

Back

A dataset is normally distributed if it follows a bell-shaped curve where most of the data points cluster around the mean, and the probabilities for values further away from the mean taper off equally in both directions.