Consider the lengths of alligators to be { 18.7, 12.3, 18.6, 16.4, 15.7, 18.3, 15.8, 14.9, 17.6, 16.4, 16.7, 17.8, 16.2, 13.8, 15.2, 14.7, 13.2, 15.8, 14.6, 16.6, 16.2, 18.1, 17.5, 17.3}. According to the Empirical Rule, 99.7% of the data should fall between what two numbers?

A. 11.1 and 21.3
B. 12.3 and 18.1
C. 12.8 and 19.6
D. 13.4 and 18.8

Question

Consider the lengths of alligators to be { 18.7, 12.3, 18.6, 16.4, 15.7, 18.3, 15.8, 14.9, 17.6, 16.4, 16.7, 17.8, 16.2, 13.8, 15.2, 14.7, 13.2, 15.8, 14.6, 16.6, 16.2, 18.1, 17.5, 17.3}. According to the Empirical Rule, 99.7% of the data should fall between what two numbers?

A. 11.1 and 21.3
B. 12.3 and 18.1
C. 12.8 and 19.6
D. 13.4 and 18.8

howard-wolowitz · Answer

@JoyKat  show me one more time please

mrnood · Answer

first work out the mean value of the lenghts

then work out the Standard Deviation (SD)

(you may have a calculator that does both together).

By the empirical rule 99.7% of the population of alligators should lie between the 
mean MINUS 3*SD  and the mean PLUS 3*SD

howard-wolowitz · Answer

ok I got A am i right?

mrnood · Answer

yes