Normal Curve Percentages

Front

What is the normal distribution?

Back

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

Back

Approximately 68%.

Front

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

Back

Approximately 95%.

Front

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

Back

Approximately 99.7%.

Front

What is the empirical rule?

Back

A rule that states that for a normal distribution, about 68% of the data falls within one standard deviation, 95% within two, and 99.7% within three standard deviations.

Front

If 50% of the data is below the mean in a normal distribution, what can be said about the mean?

Back

The mean is the median of the data.

Front

What does a standard deviation measure in a normal distribution?

Back

It measures the dispersion or spread of the data points around the mean.

Front

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

Back

The area under the curve represents the total probability, which equals 1 (or 100%).

Front

In a normal distribution, what does the term 'shaded region' typically refer to?

Back

The shaded region refers to the area under the curve that represents a specific percentage of the data.

Front

What percentage of data is found in the tails of a normal distribution?

Back

Approximately 5% of the data is found in the tails (2.5% in each tail) when considering three standard deviations.