OCR S2 2012 January — Question 1

Exam BoardOCR
ModuleS2 (Statistics 2)
Year2012
SessionJanuary
TopicMeasures of Location and Spread
TypeStandard unbiased estimates calculation

1 A random sample of 50 observations of the random variable \(X\) is summarised by $$n = 50 , \Sigma x = 182.5 , \Sigma x ^ { 2 } = 739.625 .$$ Calculate unbiased estimates of the expectation and variance of \(X\).