CAIE S1 2007 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2007
SessionNovember
TopicMeasures of Location and Spread
TypeCalculate mean from coded sums

1 A summary of 24 observations of \(x\) gave the following information: $$\Sigma ( x - a ) = - 73.2 \quad \text { and } \quad \Sigma ( x - a ) ^ { 2 } = 2115 .$$ The mean of these values of \(x\) is 8.95 .
  1. Find the value of the constant \(a\).
  2. Find the standard deviation of these values of \(x\).