The site 15 Uncanny Examples of the Golden Ratio in Nature claims that "the measurement from the navel to the floor and the top of the head to the navel is the golden ratio." The golden ratio can be calculated from the expression shown on the right.
The expression generates an irrational number, a non-repeating decimal: 1.61803398874989484820458683436563811772030917980576... The site The Fibonacci Sequence- PROOF of GOD and that the World was Created/ Intelligently Designed claims that "From your toes to your belly button it is 1.618 times longer than your belly button to the top of your head." A mathematics web site makes the same claim, The Math Behind the Beauty argues that "Leonardo da Vinci's drawings of the human body emphasised its proportion. The ratio of the following distances is the Golden Ratio: (foot to navel) : (navel to head)". Is this true? These claims are that the long measure in the diagram below divided by the short measure in the diagram below is the golden ratio 1.618... We can test this claim by measuring our ratios and then calculating a confidence interval for the population mean based on our sample mean and sample standard deviation.
Calculate your FiboBelly ratio:
Once all of the FiboBelly ratios are on the board, use the class data to calculate the following for female and male FiboBelly ratios:
After the explanation of sampling distribution of the mean, calculate the following for female and male FiboBelly ratios: