A metathesized natural oil composition comprising (i) a mixture olefins and/or esters, or (ii) a metathesized natural oil, is disclosed. The metathesized natural oil composition has a number average molecular weight in the range from about 100 g/mol to about 150,000 g/mol, a weight average molecular weight in the range from about 1,000 g/mol to about 100,000 g/mol, a z-average molecular weight in the range from about 5,000 g/mol to about 1,000,000 g/mol, and a polydispersity index of about 1 to about 20. The metathesized natural oil composition is metathesized at least once.