1. ## Statistics

If I know that the average = median, but I don't know the mode, could I say that this set of data TENDS to symmetry?

Regards

2. Originally Posted by pidr1nhu
If I know that the average = median, but I don't know the mode, could I say that this set of data TENDS to symmetry?

Regards
The mean and median are equal for symmetric distributions. But if the mean and median are equal you can draw no conclusion about the mode.

3. Originally Posted by The Second Solution
The mean and median are equal for symmetric distributions. But if the mean and median are equal you can draw no conclusion about the mode.
By stating that mean = median, is the distribution necessarily symmetric or it would depend on the value of the mode?

I understood that I can draw no conclusion about the mode if the mean = median, but shall I say the distribution TENDS to symmetry?
The point is if this assumption (Distribution has a tendency to symmetry) is correct.

4. Originally Posted by pidr1nhu
By stating that mean = median, is the distribution necessarily symmetric or it would depend on the value of the mode?

I understood that I can draw no conclusion about the mode if the mean = median, but shall I say the distribution TENDS to symmetry?
The point is if this assumption (Distribution has a tendency to symmetry) is correct.
Post #2 has given you the answer.