There is conflicting evidence regarding the association between hypercholesterolaemia and the risk of stroke. 

There have been epidemiologic studies suggesting that a higher cholesterol level is associated with a higher risk of ischaemic stroke, but a lower risk of haemorrhagic stroke. 

There is good evidence that statins reduce the risk of major vascular events for those with stroke who have a total cholesterol of >3.5 and who may or may not have concurrent coronary heart disease.