Actuarial Notes

Exam MAS-II Practice Question 8

Study guide: Exam MAS-II

An actuary needs the sampling variability of the median of a sample of 250 claim severities. No distribution is assumed. She draws B = 5 bootstrap samples (in practice B would be far larger), each of 250 claims drawn with replacement from the original sample, and computes the median of each:

1{,}020 \quad 980 \quad 1{,}050 \quad 1{,}000 \quad 950

Calculate the bootstrap estimate of the standard error of the sample median.

  • A) 2.41
  • B) 17.03
  • C) 34.06
  • D) 38.08
  • E) 1,450.00

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