Question 16

Mean identifies the central tendency of a data set.

The mean is a measure of central tendency that provides the average value of a data set, making it the most suitable statistic for identifying the center of the data distribution.

A) Out of control

This option does not represent a descriptive statistic related to central tendency. "Out of control" typically refers to a situation in quality control or statistical process control, indicating that a process is not stable or predictable.

B) Mean

The mean is the arithmetic average of all values in a data set, calculated by summing all the values and dividing by the total number of observations. It effectively summarizes the central location of the data, making it a fundamental measure of central tendency.

C) Range

The range measures the spread of a data set by calculating the difference between the highest and lowest values. While it provides insight into the variability of the data, it does not indicate the central tendency.

D) Standard deviation

Standard deviation quantifies the amount of variation or dispersion in a set of values. Although it provides valuable information about data distribution, it does not identify the central tendency of the data set.

Conclusion

The mean is the definitive measure of central tendency, providing a single value that represents the center of a data set. In contrast, the other options either relate to variability or do not pertain to central tendency at all, solidifying the mean's role as the correct answer.