25. Tobacco-cessation initiative wants most common number of packs smoked per week as initial reduction goal. What statistic?
Answer: C
Mode
The mode represents the most frequently occurring value in a data set, making it the ideal statistic for identifying the most common number of packs smoked per week as an initial reduction goal in a tobacco-cessation initiative.
A) Interquartile range
The interquartile range measures the spread of the middle 50% of data points and is not useful for identifying the most common value. It focuses on variability rather than frequency, making it inappropriate for this specific goal.
B) Standard deviation
Standard deviation quantifies the amount of variation or dispersion in a set of values. While it provides insight into how spread out the data points are, it does not identify the most common number of packs smoked, which is the primary focus of the initiative.
C) Mode
The mode is the correct choice as it directly identifies the most frequently smoked number of packs per week. This statistic is particularly beneficial in tobacco-cessation programs to set realistic and relevant reduction goals based on the prevalent behavior of smokers.
D) Mean
The mean, or average, provides a central value but can be skewed by outliers. It may not accurately reflect the common smoking behavior, especially in a population with a diverse range of consumption patterns. Thus, it is less suitable for determining the initial reduction goal.
Conclusion
The mode is definitively the correct answer as it effectively highlights the most common number of packs smoked, which is essential for setting a targeted goal in tobacco cessation efforts. In contrast, the other options either measure variability or provide an average that may not accurately represent the typical behavior of smokers, thereby failing to meet the initiative's specific needs.