Derive curve and equation from points

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Sorry if this sounds confusing, but I have a set of points that I have displayed Here

What I want to do is to somehow get a curve to look something like This and to get the equation of that curve. How do I do this? Is there an easy way to do it by hand, or can I get a piece of software that does it? I have tried to make a trendline in excel, but the curve isn't very good. To me it looks like an upside down Gaussian function. Thanks