Select the statements that describe a normal distribution. the density curve is symmetric and bell‑shaped. the normal distribution is a continuous distribution. the normal distribution is a discrete distribution. the density curve is a flat line extending from the minimum value to the maximum value. approximately 32% of values fall more than one standard deviation from the mean. two parameters define a normal distribution—the median and the range.

The density curve is symmetric and bell‑shaped.

The normal distribution is a continuous distribution.

Approximately 32% of values fall more than one standard deviation from the mean.

Step-by-step explanation:

Lets take a look at each statement.

The density curve is symmetric and bell‑shaped.

True.

The normal distribution is a continuous distribution.

True, the value of the measure can be a decimal number, like 10.5, for example.

The normal distribution is a discrete distribution.

False. Either the distribution is continuous, or it is discrete. In this case, it is continuous.

The density curve is a flat line extending from the minimum value to the maximum value.

False. This statements describes the uniform probability distribution.

Approximately 32% of values fall more than one standard deviation from the mean.

True. 68% are within 1 standard deviation of the mean and 32% are more than one standard deviation from the mean.

Two parameters define a normal distribution—the median and the range.

False. It is the mean and the standard deviation.