CAIE S1 2013 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2013
SessionJune
TopicMeasures of Location and Spread
TypeCalculate variance/SD from coded sums

1 A summary of 30 values of \(x\) gave the following information: $$\Sigma ( x - c ) = 234 , \quad \Sigma ( x - c ) ^ { 2 } = 1957.5 ,$$ where \(c\) is a constant.
  1. Find the standard deviation of these values of \(x\).
  2. Given that the mean of these values is 86 , find the value of \(c\).