Normal Distribution Calculations BONUS

Front

What is a normal distribution?

Back

A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from 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 located at the center of the distribution.

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean of the distribution.

Front

What does a z-score of 0 indicate?

Back

A z-score of 0 indicates that the data point is exactly at the mean.

Front

What percentage of data falls within one standard deviation of the mean in a normal distribution?

Back

Approximately 68% of the data falls within one standard deviation of the mean.

Front

What percentage of data falls within two standard deviations of the mean in a normal distribution?

Back

Approximately 95% of the data falls within two standard deviations of the mean.

Front

What percentage of data falls within three standard deviations of the mean in a normal distribution?

Back

Approximately 99.7% of the data falls within three standard deviations of the mean.

Front

How do you find the area under the normal distribution curve?

Back

The area under the curve can be found using z-scores and standard normal distribution tables or calculators.

Front

What is the area to the left of z=0 in a normal distribution?

Back

The area to the left of z=0 is 0.5 or 50%.

Front

What is the area under the curve between z=-1.53 and z=0?

Back

The area under the curve between z=-1.53 and z=0 is approximately 0.437.