Is this a multimodal distribution? This histogram is part of a task about descriptive statistics. I thought it would be easy, and it is, but i am not sure about this one. First I described this histogram as slightly positively skewed. The skewness coefficient supported this. But then those three peaks caught my eyes and i was confused, because i've learned that it wouldn't make any sense to talk about skewness (or kurtosis) if the distribution is a bimodal or multimodal one. So, my question is one of several. Mainly: Is this a multimodal distribution? Can you say this for sure? Or is this a matter of interpretation? Along these lines the secondary questions are: If it is a multimodal distribution and especially if it is a matter of interpretation, would it be reasonable to describe the skewness, the kurtosis and the seemingly multimodal aspect? Because: from the histogram and the coefficients it seems i could say something about all three aspects. Or is it truely a strict rule, that you can't really talk about skewness/kurtosis, if it is bimodal or multimodal? In this case, i would be back to my initial question: Is this a multimodal distribution and can you be sure?

 A: You can fit various types of distributions, multimodal and unimodal, and assess model fit using statistics like BIC. I would guess, given your histogram, that the different distributions will have similar fit, so it will be difficult to claim that the distribution is in fact multimodal.  If you had more pronounced dual (or more) peaks, then I would guess that the data would better support bimodality (or multimodality) based on measures of model fit. But it's hard to say without actually fitting those distributions and looking at the model fit statistics. 
I want to comment on kurtosis though.  I have seen people say that low kurtosis indicates bimodality, while large kurtosis indicates unimodality. This is patently false. Take a bimodal distribution with very small kurtosis. Now  mix it with a much wider distribution, with small mixing probability. The resulting distribution will have exactly the same bimodality, but huge kurtosis. Kurtosis measures nothing about the peak (flatness, sharpness, or modality).  It measures the outlier (potential rare, extreme observation) characteristic of a distribution only. See https://en.wikipedia.org/wiki/Talk:Kurtosis#Why_kurtosis_should_not_be_interpreted_as_.22peakedness.22 for a clear explanation. 
