I have a data of mice reaction times. In every session, there are some trials in which the mouse "decides of a break" and responds after a long time to these specific trials. I was thinking of applying outlier removal on my data. and the data does look better (I used a Matlab function which removed all data above of below 3 IQR's above and below median).
After doing that I got a histogram which is more similar to a normal distribution (below an example picture of one of my sessions).
My question is:
After applying my outlier removal, how should I analyze the remaining data?
Should I consider the Median (together with IQR as standard error mean)?
Or should I consider the mean (together with $ \frac{\sigma}{\sqrt n}$ as standard error mean)?
Remark: I have very little knowledge in statistics, so, I there are mistakes above (for example my standard error mean definition as IQR or $ \frac{\sigma}{\sqrt n}$ is not correct), I would be grateful if you'll let me know.
Thanks!
Edit: The purpose of my analysis is to show that under certain conditions, the response times of the mice will be faster then under other conditions.