Normal Distribution -empirical rule

Front

What is the Normal Range (68.2%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

Back

26-32

Front

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

Back

34.1%

Front

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

Back

81.8%

Front

What shape is a normal distribution curve?

Back

Bell curve

Front

What are the mean and standard deviation if 95.4% of students at school weigh between 62 kg and 90 kg?

Back

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

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, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

If the mean of a normal distribution is 50 and the standard deviation is 5, what is the range for the middle 68% of the data?

Back

45 to 55

Front

In a normal distribution, what percentage of data falls within two standard deviations from the mean?

Back

95.4%

Front

What is the z-score formula?

Back

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

Front

If a dataset has a mean of 100 and a standard deviation of 10, what is the z-score for a value of 120?

Back

2