CAIE S1 2024 June — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2024
SessionJune
TopicMeasures of Location and Spread
TypeCombined with coded data

1 A summary of 20 values of \(x\) gives $$\Sigma ( x - 30 ) = 439 , \quad \Sigma ( x - 30 ) ^ { 2 } = 12405 .$$ A summary of another 25 values of \(x\) gives $$\sum ( x - 30 ) = 470 , \quad \sum ( x - 30 ) ^ { 2 } = 11346 .$$
  1. Find the mean of all 45 values of \(x\).
  2. Find the standard deviation of all 45 values of \(x\).