CAIE S1 2013 June — Question 2

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

2 A summary of the speeds, \(x\) kilometres per hour, of 22 cars passing a certain point gave the following information: $$\Sigma ( x - 50 ) = 81.4 \quad \text { and } \quad \Sigma ( x - 50 ) ^ { 2 } = 671.0 .$$ Find the variance of the speeds and hence find the value of \(\Sigma x ^ { 2 }\).