AFDA - Z-Scores

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 value is exactly at the mean of the data set.

Front

What does a positive Z-score represent?

Back

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

Front

What does a negative Z-score represent?

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 the value 60?

Back

Front

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

Back

Approximately 68% of the data falls within one standard deviation of the mean in a normal distribution.

Front

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution: 68% of data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Front

How do you find the mean of a data set?

Back

To find the mean, sum all the values in the data set and divide by the number of values.

Front

What is standard deviation?

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