Calculating Mean Age from Total Age

Calculate the mean age of a family with ages totaling 222 years for 6 members.

In this problem, we are tasked with finding the mean age of a family, given the total ages of all family members and the number of members in the family. The concept of calculating a mean is a fundamental aspect of descriptive statistics and serves as an introductory tool for understanding how individual observations can be summarized into a single representative value.

To approach this problem, you need to understand the definition of the mean, which is the total sum of all observations divided by the number of observations. In this context, the total age of all family members serves as the sum of observations, while the number of family members is the number of observations. By dividing the total age by the number of members, you can determine the average, or mean, age.

The concept of mean is not only pivotal in summarizing data but also forms the foundation for more complex statistical analysis, including variance and standard deviation calculations, which measure the spread of data around the mean. Understanding how to calculate a mean instills a fundamental comprehension of central tendency, essential for any subsequent statistical analysis.