How is the arithmetic mean calculated?

How is the arithmetic mean calculated?

• A. Add all values and multiply by the number of values
• B. Add all values and divide by the number of values
• C. Take the middle value after ordering
• D. Choose the most frequent value

Answer: (B)

Calculating the arithmetic mean means finding the average by adding up all the values and then dividing by how many values there are. This single number represents the overall level of the data. For example, with values 2, 4, and 6, you get (2 + 4 + 6) = 12, and there are 3 values, so the mean is 12 ÷ 3 = 4. This differs from multiplying the sum by the number of values, which would be incorrect, and it’s also different from the middle value after ordering (the median) or the most frequent value (the mode), which are other ways to describe a data set.

Calculating the arithmetic mean means finding the average by adding up all the values and then dividing by how many values there are. This single number represents the overall level of the data. For example, with values 2, 4, and 6, you get (2 + 4 + 6) = 12, and there are 3 values, so the mean is 12 ÷ 3 = 4. This differs from multiplying the sum by the number of values, which would be incorrect, and it’s also different from the middle value after ordering (the median) or the most frequent value (the mode), which are other ways to describe a data set.