Practice with z scores and tables

Front

What is a Z-score?

Back

Front

How do you find the area to the right of a Z-score?

Back

To find the area to the right of a Z-score, you can use a Z-table or standard normal distribution table. The area to the right is equal to 1 minus the area to the left of the Z-score.

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 point of the distribution.

Front

What does a negative Z-score indicate?

Back

A negative Z-score indicates that the value is below the mean of the data set.

Front

What does a positive Z-score indicate?

Back

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

Front

How do you calculate a Z-score?

Back

Front

What is the standard deviation in a normal distribution?

Back

The standard deviation measures the dispersion or spread of a set of values in a normal distribution. It indicates how much the values deviate from the mean.

Front

What is the significance of the area under the normal curve?

Back

The area under the normal curve represents the probability of a value falling within a certain range. The total area under the curve is equal to 1.

Front

How do you interpret a Z-score of -2.33?

Back

A Z-score of -2.33 means the value is 2.33 standard deviations below the mean, indicating it is relatively low compared to the average.

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 of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations.