The renowned anthropologist Sir Francis Galton was very interested in measurements of many variables arising in nature. Among the measurements he obtained in the Anthropologic Laboratory in the International Exhibition of 1884 was pull strength, measured as in an archer pulling a bow. He found that the pull strength of females was approximately normally distributed with a mean of 37 pounds and a standard deviation of 7 pounds.
Approximately 68% of women have a pull strength between
(, ) pounds.
Approximately 95% of women have a pull strength between
(, ) pounds.
Approximately 99.7% of women have a pull strength between