If the mean and the median pertaining to a certain character of a population are of the same value, the following is most likely to a normal distribution
Normal distribution
Bi-modal distribution
T-shaped curve
Skewed curve
The most likely distribution when the mean and median are equal is a normal distribution. In a normal distribution, the data is symmetrically distributed around the mean, and the mean, median, and mode all have the same value. The other options you provided, such as bi-modal distribution, T-shaped curve, and skewed curve, typically exhibit differences between the mean and median. Hence, the correct answer is option 1.