DSST Statistics Practice Exam

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The mean, median, and mode are the same value. The distribution is bell-shaped and symmetrical around the mean. The total area under the curve is equal to 1. The left and right sides of the normal probability distribution extend indefinitely, never quite touching the horizontal axis.

Mean, median, and mode are the same value; the distribution is bell-shaped and symmetric; the total area under the curve equals 1; the tails extend indefinitely.

This is describing the normal distribution. In a normal curve, the mean, median, and mode all sit at the same central value, and the graph is bell-shaped and perfectly symmetric around that center. The area under the entire curve is 1 because it represents total probability across all possible values. The tails extend without bound and get closer and closer to the horizontal axis but never actually touch it. Because of these exact properties, the description that includes all of them is the correct one.

The other statements conflict with one or more of these facts: having the mean and median equal but a different mode breaks the symmetric, unimodal structure; a left-skewed distribution lacks the symmetric bell shape; and an area greater than 1 violates the basic rule that total probability must equal 1.

The mean and median are equal but the mode differs.

The distribution is skewed to the left.

The area under the curve is greater than 1.

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