CAIE S1 2016 June — Question 4

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2016
SessionJune
TopicMeasures of Location and Spread
TypeCalculate mean from coded sums

4 The monthly rental prices, \(
) x$, for 9 apartments in a certain city are listed and are summarised as follows. $$\Sigma ( x - c ) = 1845 \quad \Sigma ( x - c ) ^ { 2 } = 477450$$ The mean monthly rental price is \(
) 2205$.
  1. Find the value of the constant \(c\).
  2. Find the variance of these values of \(x\).
  3. Another apartment is added to the list. The mean monthly rental price is now \(
    ) 2120.50$. Find the rental price of this additional apartment.