How is the mean calculated?

• A. By finding the middle value of a data set
• B. By averaging the highest and lowest values
• C. By summing all values and dividing by the count
• D. By determining the most frequently occurring value

Answer: (C)

The mean is calculated by summing all the values in a data set and then dividing that total by the number of values in the set. This calculation yields the average value, which represents a central tendency of the data. The formula for the mean is often expressed as ( \text{Mean} = \frac{\sum \text{Values}}{n} ), where ( \sum \text{Values} ) denotes the total sum of all the individual values and ( n ) is the number of values.

This method effectively accounts for every data point, allowing the mean to provide a balanced representation of the data set, as it incorporates the full spectrum of values without favoring any particular range. Therefore, calculating the mean through this process allows for accurate comparisons and analyses within the context of the data.