Using the Standard Normal table (Table A)

Front

What is a standard normal distribution?

Back

A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean of a distribution.

Front

How do you calculate a z-score?

Back

Front

What does the standard normal table (z-table) provide?

Back

The z-table provides the area (probability) to the left of a given z-score in a standard normal distribution.

Front

What is the area under the normal curve?

Back

The total area under the normal curve is equal to 1, representing the total probability.

Front

What percent of data falls within one standard deviation of the mean in a normal distribution?

Back

About 68% of the data falls within one standard deviation of the mean.

Front

What percent of data falls within two standard deviations of the mean in a normal distribution?

Back

About 95% of the data falls within two standard deviations of the mean.

Front

What percent of data falls within three standard deviations of the mean in a normal distribution?

Back

About 99.7% of the data falls within three standard deviations of the mean.

Front

If the mean height of young women is 64.5 inches with a standard deviation of 2.5 inches, what is the z-score for a height of 67 inches?

Back

Front

What is the probability of a young woman being taller than 67 inches if the heights are normally distributed?

Back

The probability of a young woman being taller than 67 inches is about 16%.