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 does the empirical rule state about data within 1 standard deviation?

Back

According to the empirical rule, approximately 68% of the data falls within 1 standard deviation of the mean in a normal distribution.

Front

What does it mean if a graph is skewed left?

Back

A left-skewed graph has a longer tail on the left side, indicating that the majority of the data points are concentrated on the right.

Front

What does it mean if a graph is skewed right?

Back

A right-skewed graph has a longer tail on the right side, indicating that the majority of the data points are concentrated on the left.

Front

According to the empirical rule, what percentage of data falls within 2 standard deviations?

Back

According to the empirical rule, approximately 95% of the data falls within 2 standard deviations of the mean.

Front

According to the empirical rule, how much of the data falls within 3 standard deviations?

Back

According to the empirical rule, approximately 99.7% of the data falls within 3 standard deviations of the mean.

Front

What is the mean in a normal distribution?

Back

The mean is the average of all data points and is located at the center of a normal distribution curve.

Front

What is the standard deviation in a normal distribution?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What is the shape of a normal distribution graph?

Back

The shape of a normal distribution graph is bell-shaped and symmetric around the mean.

Front

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

Back

The area under the normal distribution curve represents the total probability of all outcomes, which equals 1.