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Without detailed analysis it is not possible to always exclude questions as to whether an error ultimately is large enough to have significant influence.

For example, weight fluctuates in the course of a day so that the BMI can vary between 24 (normal weight) and 25 (overweight). The error in this case does not affect the conclusion (normal weight), but this is not always the position. With a weight of 79.5 kg and the same height the value is 24.5, while 80.5 kilograms gives almost 24.9. For a man who weighs 80 kg and is 1.80 m tall, the BMI is about 24.7. The relevant range is that of all real numbers that are greater than or equal to 79.5, while less than or equal to 80.5, or in other words the interval. In normal rounding to the nearest value, the scales showing 80 kg indicates a weight between 79.5 kg and 80.5 kg. It is unlikely that when the scale reads 80 kg, someone really weighs exactly 80.0 kg. We do not know intermediate values – about 79.6 kg or 80.3 kg – but information rounded to the nearest whole number.

A bathroom scale may have a resolution of one kilogram. The BMI is the body weight in kilograms divided by the square of height in metres. Bisection_rc.f90, the source code.įor a person 1.80 m tall in relation to body weight m (in kilograms) Take as an example the calculation of (BMI). Reverse communication instead allows the user's calling program to retain control of the function evaluation. BISECTION_RC is a FORTRAN90 library which demonstrates the simple bisection method for solving a scalar nonlinear equation in a change of sign interval.
