How do you calculate the mean of a data set?

• A. By finding the mode of the data set
• B. By summing all values and dividing by the number of values
• C. By multiplying all values together
• D. By arranging the values in ascending order

Answer: (B)

To calculate the mean of a data set, you take the sum of all the values in the set and divide that sum by the total number of values. This method effectively determines the average of the data, giving you a central value that represents the entire set.

For example, if you have a data set consisting of the numbers 4, 8, and 10, you first add these values together to get 22. Next, since there are three numbers in this data set, you divide 22 by 3, which gives you a mean of approximately 7.33.

This calculation is fundamental in statistics because it provides insights into the overall trend or behavior of a data set, making it easier to analyze and compare with other sets.