CAIE S1 2014 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2014
SessionNovember
TopicMeasures of Location and Spread
TypeCalculate mean from coded sums

2 A traffic camera measured the speeds, \(x\) kilometres per hour, of 8 cars travelling along a certain street, with the following results. $$\begin{array} { l l l l l l l l } 62.7 & 59.6 & 64.2 & 61.5 & 68.3 & 66.9 & 62.0 & 62.3 \end{array}$$
  1. Find \(\Sigma ( x - 62 )\).
  2. Find \(\Sigma ( x - 62 ) ^ { 2 }\).
  3. Find the mean and variance of the speeds of the 8 cars.