Normal Distribution & Empirical Rule

Front

What is the shape of a normal distribution curve?

Back

Bell curve

Front

According to the empirical rule, what percentage of data falls within 1 standard deviation of the mean?

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

What is the mean of a normal distribution?

Back

The average value of the data set, where the curve is centered.

Front

What is the standard deviation in a normal distribution?

Back

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

Front

If a GPA is normally distributed with a mean of 2.9 and a standard deviation of 0.6, what GPA range includes approximately 68% of students?

Back

Between 2.3 and 3.5.

Front

In a normal distribution, what does it mean if a data point is at the 95th percentile?

Back

It means that 95% of the data points are below this value.

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.

Front

What is the empirical rule?

Back

A statistical rule stating that for a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2, and 99.7% within 3 standard deviations.