Normal Distribution -empirical rule

Front

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

Back

1

Front

What is the empirical rule in relation to normal distribution?

Back

Approximately 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.

Front

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82?

Back

340

Front

What percent of men are between 64 and 66.5 inches tall if the distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches?

Back

13.5%

Front

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

Back

26-32

Front

Define 'mean' in the context of normal distribution.

Back

The mean is the average value of a set of data, representing the center of the distribution.

Front

Define 'standard deviation' in the context of normal distribution.

Back

Standard deviation measures the amount of variation or dispersion in a set of values.

Front

What does it mean if a distribution is 'normal'?

Back

A normal distribution is a symmetric, bell-shaped distribution where most of the observations cluster around the central peak.

Front

What is the significance of the 68-95-99.7 rule?

Back

It describes the percentage of data that falls within one, two, and three standard deviations from the mean in a normal distribution.

Front

If a dataset has a mean of 50 and a standard deviation of 10, what range would cover approximately 68% of the data?

Back

40 to 60.