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Select the statements that describe a normal distribution.

a. The density curve is symmetric and bell‑shaped.
b.The normal distribution is a continuous distribution.
c.The normal distribution is a discrete distribution.
d.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.

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Answer: The statements that describe a normal distribution are;

a. The density curve is symmetric and bell-shaped.

b. The normal distribution is a continuous distribution.

Step-by-step explanation: The normal distribution is the most commonly used and important statistic tool. It is referred to as the "Bell Curve" because of its bell-shape and the the fact that it is symmetric density curve. A continuous distribution defines the possibilities of a continuous random variable and a prime example of a continuous distribution is the Normal distribution.

The normal distribution is not a discrete distribution because it does not have discrete variables. The normal distribution is not a flat line that extends from a minimum to a maximum but it is a continuous distribution that extends in a bell shape from one minimum value going up to a maximum value before descending back to another minimum value.

68% of a normal distribution curve falls with one standard deviation from the mean not 32%.

The two parameters that define a normal distribution is the mean and the standard deviation.

The statements that describe a normal distribution are,

a. The density curve is symmetric and bell‑shaped.

b. The normal distribution is a continuous distribution.

Normal distribution:

the properties of normal distribution are following,

  • Normal distributions are symmetric, unimodal, and asymptotic, and the mean, median, and mode are all equal.
  • A normal distribution is perfectly symmetrical around its center. That is, the right side of the center is a mirror image of the left side.
  • A population has a precisely normal distribution if the mean, mode, and median are all equal.

Learn more about the normal distribution here:

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