Finding z-scores & using z-tables

Front

What is a z-score?

Back

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

Front

How do you calculate a z-score?

Back

Front

What does a z-score of 0 indicate?

Back

A z-score of 0 indicates that the data point is exactly at the mean.

Front

What does a positive z-score indicate?

Back

A positive z-score indicates that the data point is above the mean.

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the data point is below the mean.

Front

What is the standard normal distribution?

Back

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

Front

What is the empirical rule in statistics?

Back

The empirical rule states 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

How do you interpret a z-score of 1.5?

Back

A z-score of 1.5 means the data point is 1.5 standard deviations above the mean.

Front

What is a z-table?

Back

A z-table is a table that shows the cumulative probability of a standard normal distribution for different z-scores.

Front

How do you use a z-table?

Back

To use a z-table, find the z-score in the left column and the top row to determine the cumulative probability.