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 is the z-score calculated?

Back

Front

What does a positive z-score indicate?

Back

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

Front

What does a negative z-score indicate?

Back

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

Front

If a data set has a mean of 50 and a standard deviation of 10, what is the z-score for 60?

Back

Front

If a data set has a mean of 100 and a standard deviation of 15, what is the z-score for 85?

Back

Front

What does the z-table represent?

Back

The z-table shows the percentage of data points that fall below a given z-score in a standard normal distribution.

Front

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

Back

The total area under the curve of a normal distribution is equal to 1.

Front

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

Back

Approximately 84% of values are less than a z-score of 1.

Front

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

Back

Approximately 16% of values are less than a z-score of -1.