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 shape is a normal distribution curve?

Back

Bell curve

Front

If the mean of a normal distribution is 38 and the standard deviation is 4, how many members are younger than 34 in a group of 500?

Back

80

Front

68% of all tires will have a life between __________ km and __________ km if the mean life is 30,000 km and the standard deviation is 2000 km.

Back

28,000 km and 32,000 km.

Front

What are the mean and standard deviation if 95% of students weigh between 62 kg and 90 kg?

Back

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

Front

What is the Empirical Rule in relation to normal distribution?

Back

68% of data falls within 1 standard deviation, 95% within 2, and 99.7% within 3.

Front

Define standard deviation in the context of a normal distribution.

Back

A measure of the amount of variation or dispersion of a set of values.

Front

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

Back

95%

Front

What is the mean in a normal distribution?

Back

The average value around which the data is distributed.

Front

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

Back

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