For a symmetric distribution, the empirical relationship between mean,median and mode is :

Correct option is A

For a symmetric distribution, the correct answer is option (a) Mean = Median = Mode.
Solution:
In a symmetric distribution:
The data is evenly distributed around the central value.
The mean, median, and mode coincide and are equal, as there is no skewness.
In a positively skewed distribution, Mean > Median > Mode.
In a negatively skewed distribution, Mode > Median > Mean.
However, in a symmetric distribution, there is no skewness, and the central tendencies align perfectly: Mean = Median = Mode