Practice with z scores and tables

Front

What is a z-score?

Back

Front

How do you find the area between two z-scores?

Back

To find the area between two z-scores, look up each z-score in the z-table to find the corresponding area to the left of each z-score, then subtract the smaller area from the larger area.

Front

What does a negative z-score indicate?

Back

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

Front

What does a positive z-score indicate?

Back

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

Front

What is the mean in a normal distribution?

Back

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

How do you calculate the z-score for a given value?

Back

Front

What is the significance of the z-table?

Back

The z-table provides the area (probability) to the left of a given z-score in a standard normal distribution.

Front

How do you interpret the area under the curve in a normal distribution?

Back

The area under the curve represents the probability of a value falling within a certain range in a normal distribution.

Front

What is the empirical rule in statistics?

Back

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