Which of the following is a measure of central tendency?

1. Analyze the question

The question asks you to identify which of the given statistical terms represents a "measure of central tendency." In statistics, measures of central tendency are values that describe the center or typical value of a dataset.

2. Explain the concept

• Measures of Central Tendency: These are statistical measures used to find the "middle" or "average" of a set of data. The three most common measures are the Mean (average), the Median (middle value), and the Mode (most frequent value).
• Measures of Dispersion (Spread): These describe how spread out the data is. Examples include Range, Variance, and Standard Deviation. These do not describe the center; they describe the variation or distance between data points.

3. Show the solution

• Option A (Standard deviation): This measures how much the data deviates from the mean. It is a measure of dispersion, not central tendency.
• Option B (Range): This is the difference between the highest and lowest values. It is a measure of dispersion.
• Option C (Variance): This is the average of the squared differences from the mean. It is a measure of dispersion.
• Option D (Mean): This is calculated by summing all values and dividing by the number of values. It is the most common measure of central tendency.

4. Identify the answer

Comparing the options to the definitions above, the Mean is the only measure of central tendency listed.

5. Exam Tip

Remember the acronym "M-M-M" for Central Tendency: Mean, Median, and Mode. If you see any of these three in an exam question about central tendency, that is your target! Everything else (Range, Variance, Standard Deviation) relates to how "spread out" the data is.