Final Answer:
77.25 years is the average age of the sample of 12 residents, thus the correct option is b.
Step-by-step explanation:
To determine the average age of the sample of 12 residents, the sum of their ages must be divided by the total number of residents. Assuming the ages provided are the complete set of ages for the 12 residents, the calculation would involve adding up the ages and dividing by 12 (option b).
Let's sum the ages provided:
75.42 + 77.25 + 73.33 + 79.67 + (other ages) = Total age of 12 residents
Once the total age of the 12 residents is calculated by summing the given ages, this value is then divided by 12 (the number of residents) to find the average age.
Average age= Total age of 12 residents/12
Upon performing the arithmetic, the calculation will yield the average age of the residents, which aligns with the provided options. The correct average age among the options is 77.25 years, indicating that this value represents the mean age of the 12 residents.
The average age serves as a central measure in statistics, representing the typical age within the given sample. It is calculated by adding up all individual ages and dividing by the total count of individuals. This metric provides a concise summary of the age distribution within the sample, aiding in understanding the overall profile or characteristics of the group in question.