Standard Normal Distribution

Front

What is the Standard Normal Distribution?

Back

A probability distribution with a mean of 0 and a standard deviation of 1, represented by the Z-score.

Front

What is a Z-score?

Back

A Z-score indicates how many standard deviations a data point is from the mean of the data set.

Front

How do you find the percentage of data below a given Z-score?

Back

Use the Z-score table to find the cumulative area corresponding to the Z-score.

Front

What is the cumulative area in a Z-score table?

Back

The cumulative area represents the probability that a value is less than or equal to a given Z-score.

Front

What does a negative Z-score indicate?

Back

A negative Z-score indicates that the data point is below 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

How many decimal places should you look at when reading a Z-score table?

Back

Two decimal places.

Front

What is the cumulative area for a Z-score of 0?

Back

0.5000, which represents the mean of the distribution.

Front

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

Back

The area under the curve represents the total probability, which equals 1.

Front

How do you interpret a Z-score of -1.78?

Back

It means the data point is 1.78 standard deviations below the mean.