CAIE S2 2022 March — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2022
SessionMarch
TopicMeasures of Location and Spread
TypeStandard unbiased estimates calculation

1 The lengths, in millimetres, of a random sample of 12 rods made by a certain machine are as follows.
200
201
198
202
200
199
199
201
197
202
200
199
  1. Find unbiased estimates of the population mean and variance.
  2. Give a statistical reason why these estimates may not be reliable.