CAIE S1 2011 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2011
SessionNovember
TopicMeasures of Location and Spread
TypeCalculate variance/SD from coded sums

2 The values, \(x\), in a particular set of data are summarised by $$\Sigma ( x - 25 ) = 133 , \quad \Sigma ( x - 25 ) ^ { 2 } = 3762 .$$ The mean, \(\bar { x }\), is 28.325 .
  1. Find the standard deviation of \(x\).
  2. Find \(\Sigma x ^ { 2 }\).