Which of the following is a positional average?

Explanation

Mean = Sum of all values / Number of values (depends on all values)

Median = Middle value of an ordered dataset (depends on the position)

Mode = Most frequently occurring value (depends on frequency, not position)

Range = Difference between the highest and lowest values (depends on extreme values)

Median is a positional average.

The correct answer is option 2.

 Additional Information

1) Mean: The mean is the arithmetic average of a dataset. It is calculated by summing all the values and dividing by the number of values. The mean is sensitive to extreme values.

2) Median: The median is the middle value in a dataset that is ordered from least to greatest. If there is an even number of data points, the median is the average of the two middle values. The median is not significantly affected by extreme values, making it a robust measure of central tendency. It is a positional average because its value depends on the position of the data points in the ordered dataset.

3) Mode: The mode is the value that appears most frequently in a dataset. A dataset can have no mode, one mode (unimodal), or more than one mode (bimodal, trimodal, etc.). The mode is useful for categorical data and can also be used for numerical data. It does not depend on the position of the values.

4) Range: The range is the difference between the maximum and minimum values in a dataset. It provides a simple measure of the spread or dispersion of the data. However, it is highly sensitive to outliers and does not provide information about the distribution of the data between the extreme values.