Question 14

The mean identifies the central tendency of a data set.

The mean, or average, is a measure that summarizes the central point of a data set, making it a key descriptive statistic for identifying central tendency.

A) Range

The range measures the difference between the highest and lowest values in a data set, which provides insight into the spread of the data rather than its central tendency. Therefore, it does not identify the central tendency.

B) Out of control

This option refers to a state of a process that is not stable or predictable, typically used in quality control contexts. It is not a descriptive statistic and does not pertain to identifying central tendency.

C) Mean

The mean is calculated by adding all the values in a data set and dividing by the number of values. This statistic effectively summarizes the data by providing a single value that represents the center of the distribution, making it the correct choice for identifying central tendency.

D) Standard deviation

Standard deviation measures the dispersion or variability of a data set relative to its mean. While it is crucial for understanding data spread, it does not identify the central tendency of a data set.

Conclusion

The mean is the definitive measure of central tendency, as it provides a single value that accurately represents the center of the data distribution. In contrast, the range, out of control status, and standard deviation serve different purposes and do not adequately convey the central tendency of a dataset.