CAIE S2 2019 June — Question 2

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionJune
TopicMeasures of Location and Spread
TypeReverse-engineering from given variance

2 The length of worms is denoted by \(X \mathrm {~cm}\). The lengths of a random sample of 50 worms were measured. Some of the results were lost, but the following results are available.
  • \(\Sigma x ^ { 2 } = 4361\)
  • An unbiased estimate of the population variance of \(X\) is 9.62.
Calculate the mean length of the 50 worms.