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Which of the following is true of the range? It is a very robust measure of central tendency. It describes the average distance of the distribution values from the mean. It identifies the endpoints of a distribution of values. It is the average squared deviation about the mean of a distribution of values. It reveals information about the center of a distribution of values.

Question

Which of the following is true of the range? It is a very robust measure of central tendency. It describes the average distance of the distribution values from the mean. It identifies the endpoints of a distribution of values. It is the average squared deviation about the mean of a distribution of values. It reveals information about the center of a distribution of values.

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Solution

The statement that is true about the range is: "It identifies the endpoints of a distribution of values."

The range is a measure of dispersion, which is the spread of a dataset. It is calculated by subtracting the smallest value in the set from the largest value. Therefore, it identifies the endpoints of a distribution of values.

The other statements are not accurate descriptions of the range. The range is not a measure of central tendency, it does not describe the average distance of the distribution values from the mean, it is not the average squared deviation about the mean of a distribution of values, and it does not reveal information about the center of a distribution of values.

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