Answer to Question #311193 in Statistics and Probability for Gooof

Question

The tallest living man at the time of this writing is Sultan Kosen, who has a height of 251 cm. The shortest living man is Chandra Bahadur Dangi, who has a height of 54.6 cm. Heights of men have a mean of 174.12 cm and a standard deviation of 7.10 cm. Which of these two men has the height that is more extreme?

Answer 1

we use z calculations

z(251) = (251 - 174.12) / 7.1 = 10.828

z(54.6) = (54.6 - 174.12) / 7.1 = -16.8338

from our obtained z score we may say that since the z score of -16.8338 has a higher magnitude, we may conclude that the height of 54.6 is more extreme.