Normal Distributions Practice

Front

What shape is a normal distribution curve?

Back

Bell curve

Front

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

Back

68%

Front

A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes. If 2000 ticket buyers were in line, how many of them would expect to wait for less than 16 minutes?

Back

320

Front

The center of the curve represents what value of a data set?

Back

μ (mean)

Front

What is the mean on the graph given?

Back

35

Front

What is a normal distribution?

Back

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 does the standard deviation represent in a normal distribution?

Back

It measures the amount of variation or dispersion of a set of values.

Front

What is the empirical rule?

Back

A statistical rule stating 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

What is the significance of the area under the normal distribution curve?

Back

It represents the total probability of all outcomes, which equals 1.

Front

How do you calculate the z-score?

Back

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