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24 August, 06:55

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.

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  1. 24 August, 10:06
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    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.
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