The positional average of central tendency is

Options

A. GM
B. HM
C. AM
D. Median

Answer

To solve the question regarding the positional average of central tendency, we need to analyze the given options and determine which one is a positional average.

### Step-by-Step Solution:

1. **Understanding Central Tendency**: Central tendency refers to the measure that represents the center or typical value of a dataset. Common measures include the Arithmetic Mean (AM), Geometric Mean (GM), Harmonic Mean (HM), and Median.

2. **Evaluating the Options**:
- **Option 1: Geometric Mean (GM)**: The geometric mean is calculated as the nth root of the product of n numbers. It does not depend on the position of the data points in the dataset. Therefore, GM is not a positional average.

- **Option 2: Harmonic Mean (HM)**: The harmonic mean is defined as the reciprocal of the arithmetic mean of the reciprocals of the data points. Like GM, it does not depend on the position of the data points. Thus, HM is also not a positional average.

- **Option 3: Arithmetic Mean (AM)**: The arithmetic mean is calculated by adding all the numbers and dividing by the total count. This measure also does not depend on the position of the data points, making AM not a positional average.

- **Option 4: Median**: The median is found by arranging the data in ascending order and identifying the middle value. This measure is dependent on the position of the data points, as it requires the data to be ordered. Therefore, the median is a positional average.

3. **Conclusion**: After evaluating all the options, we find that the median is the only measure of central tendency that is positional. Thus, the correct answer is:
- **Median (Option 4)**

### Final Answer:
The positional average of central tendency is the **Median**.

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