The average woman is 5 inches / 13 centimeters shorter than the average man.

The statement is true because on average, men are generally taller than women. This is supported by scientific data and studies that consistently show a significant difference in height between males and females. Although there are variations within each gender, with some men being shorter than some women, the average height of men tends to be greater than the average height of women. Hence, it can be concluded that, on average, the height of women is approximately 5 inches (13 centimeters) shorter than that of men.