CAIE S1 2021 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2021
SessionNovember
TopicMeasures of Location and Spread
TypeCalculate mean from coded sums

2 A summary of 40 values of \(x\) gives the following information: $$\Sigma ( x - k ) = 520 , \quad \Sigma ( x - k ) ^ { 2 } = 9640$$ where \(k\) is a constant.
  1. Given that the mean of these 40 values of \(x\) is 34 , find the value of \(k\).
  2. Find the variance of these 40 values of \(x\).