A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 460 seconds and a standard deviation of 50 seconds. Between what times do we expect approximately 95% of the boys to run the mile?
A) between 362 and 558 seconds
B) between 377.75 and 542.28 seconds
C) between 365 and 555 seconds
D) between 0 and 542.28 seconds

Question

Quizplus · Accepted Answer

Using the empirical rule for normal distributions, approximately 95% of the data falls within two standard deviations from the mean. Therefore, the range is 460 ± (2 * 50), which is 360 to 560 seconds. The closest option is A) between 362 and 558 seconds.

A Physical Fitness Association Is Including the Mile Run in Its