21.  Which measure of central tendency is derived from the most common value?*meanmedianmodenone of these

1. Break Down the Problem

We need to identify which measure of central tendency is associated with the most common value in a dataset.

2. Relevant Concepts

• Mean: The average of a set of values, calculated by sum divided by the number of values.
• Median: The middle value when the data is ordered from least to greatest.
• Mode: The most frequently occurring value in a dataset.

3. Analysis and Detail

The problem asks which statistical measure relates to the "most common value."

• The mean focuses on the average, which is not directly related to frequency.
• The median identifies the middle number but is also not based on frequency.
• The mode, however, is defined specifically as the value that appears most frequently in the data set.

4. Verify and Summarize

From the definitions:

• Mean: Not applicable for the most common value.
• Median: Not applicable for the most common value.
• Mode: Correct, as it directly relates to frequency.

Final Answer

The measure of central tendency derived from the most common value is mode.