Alg II - 5.1-5.4

Front

What is a Bell Curve?

Back

A Bell Curve, or normal distribution, is a graph that represents the distribution of a set of data. It is symmetric and shows that most values cluster around a central peak, with probabilities for values further away from the mean tapering off equally in both directions.

Front

What percent 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 in a normal distribution.

Front

What percent 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 in a normal distribution.

Front

What percent 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 in a normal distribution.

Front

What is the empirical rule in statistics?

Back

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

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 does it mean for data to be normally distributed?

Back

Data is normally distributed when it follows a bell-shaped curve, indicating that most of the data points are close to the mean, with fewer points as you move away from the mean.

Front

What is the significance of the mean in a normal distribution?

Back

The mean is the central value of a normal distribution and is the point around which the data is symmetrically distributed.

Front

What is the median in a normal distribution?

Back

In a normal distribution, the median is equal to the mean, as the data is symmetrically distributed.

Front

What is the mode in a normal distribution?

Back

In a normal distribution, the mode is also equal to the mean and median, as the highest point of the curve occurs at the mean.