American Shoe Size Converter Is A British Shoe Size 6 - An American Size 9.5? ?

Is a British shoe size 6 - an American size 9.5? ? - american shoe size converter

I have this internet shoe converter, but shows a difference between the sizes of converters men and women, for example, "said a male shoe 6 is American English 6.5. But a British size 6 is women size 9.5 s .... that correct?