SOA Exam P Sample Question 464
Study guide: Exam P-1
The loss due to an injury in a certain sport is uniformly distributed on an interval.
The interquartile range of a random variable is defined as the difference between its 75th and 25th percentiles.
Determine the correct statement about the ratio of the standard deviation to the interquartile range of the loss due to a given injury in that sport.
- A) The ratio is
1 : \sqrt{3}, regardless of the endpoints of the interval. - B) The ratio is
1 : 1, regardless of the endpoints of the interval. - C) The ratio is
2 : \sqrt{3}, regardless of the endpoints of the interval. - D) The ratio depends on the length of the interval.
- E) The ratio depends on the location of the center of the interval.
Answer this question and see the worked solution