Final Answer:
In the given set (2, 4, 5, 7, 9, 15), the mode is the number that appears most frequently. Here, the number 5 appears more frequently than any other number, making it the mode. So, the correct option is b. 5.
Explanation:
The correct option is b. 5. The mode of a set of numbers is the value that appears most frequently. In the given set (2, 4, 5, 7, 9, 15), the number 5 occurs more frequently than any other number, making it the mode. This conclusion is reached by observing that 5 is the only number that repeats in the set, appearing twice, while all other numbers occur only once.
The mode is particularly relevant in identifying the central tendency of a dataset, as it represents the value around which the other numbers cluster. In this case, 5 serves as a central point of concentration in the distribution of the given numbers.
Understanding the mode is crucial in statistical analysis, as it provides valuable insights into the typical or most common values within a dataset. Unlike the mean or median, the mode is not influenced by extreme values, making it a robust measure for datasets with varying degrees of dispersion. In this specific set, the simplicity of the dataset allows for a straightforward identification of the mode, as there is only one value that occurs more frequently than others.