I have a dataset of metric distances ($n=5800$) and plotted those as a histogram. My initial thought was that this distribution looks normal. But after performing a Shapiro Wilk test and plotting the distribution like below I am not that sure anymore. In the Shapiro Wilk test the p value was way to low.
My question is: Can this distribution still be considered as a Gaussian distribution? The mean of my data is -0.027 and standard deviation is 0.72.
Also a qq plot doesn't look like a normal distribution to me. But I am also not sure how to define this distribution.
When limiting my data range to -1.4 and 1.4 the qq plot looks like the following. How can this be interpreted?
Edit: Did a new plot with different software this time. Now the plot doesn't look normally distributed to me anymore.