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 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

What is the mean of a normal distribution?

Back

The mean of a normal distribution is the central value around which the data is distributed.

Front

What is the standard deviation in a normal distribution?

Back

The standard deviation measures the dispersion or spread of the data points around the mean.

Front

How do you interpret a z-score of -1.25?

Back

A z-score of -1.25 indicates that the data point is 1.25 standard deviations below the mean.

Front

What percentage of values are less than a z-score of -1?

Back

Approximately 15.87% of values are less than a z-score of -1 in a normal distribution.