The table below gives 104 repititions of Buffon's needle experiment, with the needle length and floorboard length equal. The common length was about 6.5 cm; a toothpick actually served as the needle. The data should also represent 104 Bernoulli trials. The number of successes is 56.

Needle Data

Crack Crossing

1

1

1

0

1

1

0

0

1

0

0

1

1

0

0

0

0

1

0

0

1

1

1

1

1

1

0

0

1

1

1

1

1

1

1

0

0

0

1

1

1

1

0

0

0

1

1

1

0

1

1

1

0

0

1

0

1

0

0

0

1

0

0

1

1

1

0

0

1

1

1

0

0

0

1

1

1

1

0

0

0

1

0

0

0

0

0

1

1

1

0

0

0

1

0

1

0

1

1

0

1

1

1

0

Discussion

Since different students took turns tossing the toothpick, and since some of the students were purposely trying to achieve a particular outcome (a crack crossing), the question of interest is whether the data do represent Bernoulli trials.

Source

Sonja Mushahid and the UAH Math Club, Pi Day Celebration, 13 March 2009.

Download Data

Click on the link below to download the data in tab-separated text format. This is a standard formats that can be imported into most statistical and spreadsheet software.