In a survey, a sample of 10 policies is selected from the records of an insurance company. The following data give, in ascending order, the time (in days) from the start date of the policy until a claim has arisen from each of the policies in the sample.
297 301 312 317 355 379 404 419 432+ 463+
Some of the policies have not yet resulted in any claims at the time of the survey, so the times until they each give rise to a claim are said to be censored. These values are represented with a plus sign in the above data.
(i) Calculate the median of this sample.
(ii) State what you can conclude about the mean time until claims arise from the policies in this sample.