Z-Score Flashcard

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 represent?

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 mean in a normal distribution?

Back

The mean is the average of all data points and is the center of the normal distribution.

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

What is the empirical rule in statistics?

Back

The empirical rule states that for a normal distribution, approximately 68% of data falls within one standard deviation of the mean, 95% within two, and 99.7% within three.

Front

How do you find the area under the normal curve for a given Z-Score?

Back

You can use Z-tables or statistical software to find the area (probability) corresponding to a given Z-Score.

Front

What is the significance of P(Z > z)?

Back

P(Z > z) represents the probability that a standard normal variable is greater than a specific Z-Score.