Which Represents Location of Data More Accurately?

There isn't a one-size-fits-all answer to which measure represents the location of data more accurately because it depends on the characteristics of the data. However:

Symmetrical Data: The mean is often a good choice for symmetrically distributed data without outliers, as it considers all values in the dataset.

Skewed Data or Presence of Outliers: The median is often preferred because it is less affected by extreme values. If a dataset is skewed or has outliers, the median might provide a more accurate representation of the center.

Categorical Data: The mode is suitable for categorical data, where you want to identify the most common category.

In summary, there is no universally superior measure of location. Analysts often use a combination of mean, median, and mode, along with other descriptive statistics, to gain a comprehensive understanding of the central tendency of the data.