Which statement describes the mean's suitability for distributions

• A. Better representative for symmetrical distribution
• B. Better for skewed distribution
• C. Only for categorical data
• D. Not defined for continuous data

Answer: (A)

The mean serves as the balance point of a dataset, so it best represents the center when the distribution is roughly symmetric. In a symmetric shape, values above and below the center offset each other, placing the mean at the true center of the data. When the data are skewed, extreme values in the tail pull the mean toward that tail, making it a less accurate single representative of the typical value; in those cases, the median often provides a better sense of central tendency. The mean requires numerical data, so it isn’t appropriate for categorical data, and it is defined for both discrete and continuous numerical data, so saying it’s not defined for continuous data isn’t correct.