Normal Distribution

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 the standard deviation in a normal distribution?

Back

The standard deviation measures the amount of variation or dispersion of a set of values in a normal distribution.

Front

What does the empirical rule state?

Back

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

Front

How does an outlier affect the mean and median?

Back

An outlier can skew the mean, making it less representative of the data set, while the median remains unaffected by extreme values.

Front

What percentage of data falls within 1 standard deviation in a normal distribution?

Back

Approximately 68% of the data falls within 1 standard deviation of the mean.

Front

What percentage of data falls within 2 standard deviations in a normal distribution?

Back

Approximately 95% of the data falls within 2 standard deviations of the mean.

Front

What percentage of data falls within 3 standard deviations in a normal distribution?

Back

Approximately 99.7% of the data falls within 3 standard deviations of the mean.

Front

What is the relationship between mean and median in a normal distribution?

Back

In a normal distribution, the mean and median are equal.

Front

How does adding an outlier to the left of a normal distribution affect the mean?

Back

Adding an outlier to the left decreases the mean, making it less than the median.