CAIE S1 2012 June — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2012
SessionJune
TopicMeasures of Location and Spread
TypeCalculate mean from coded sums

2 The heights, \(x \mathrm {~cm}\), of a group of young children are summarised by $$\Sigma ( x - 100 ) = 72 , \quad \Sigma ( x - 100 ) ^ { 2 } = 499.2 .$$ The mean height is 104.8 cm .
  1. Find the number of children in the group.
  2. Find \(\Sigma ( x - 104.8 ) ^ { 2 }\).