What measure of central tendency is calculated by adding all the values and dividing the sum by the number of values? A. Mode B. Range C. Median D. Mean

Step 1: Break Down the Problem

The problem asks about a specific measure of central tendency that involves performing an arithmetic operation on a dataset.

Step 2: Relevant Concepts

There are three main measures of central tendency:

1. Mean: Calculated by adding all values and dividing by the number of values.
2. Median: The middle value when the values are ordered.
3. Mode: The value that occurs most frequently.
4. Range: The difference between the highest and lowest values in a dataset.

Given the definitions, we can identify which measure corresponds to the described process.

Step 3: Analysis and Detail

• The operation of adding all values together and dividing by the number of values is precisely how the mean is calculated.
• The mean provides an average that represents the central point of a dataset.

Step 4: Verify and Summarize

By confirming the definitions:

• Mean involves summing values and dividing by the count.
• Other options (mode, median, range) do not match this operation.

Final Answer

The correct answer is D. Mean.